https://wiki.math.wisc.edu/api.php?action=feedcontributions&user=Terwilli&feedformat=atomUW-Math Wiki - User contributions [en]2024-03-28T21:29:06ZUser contributionsMediaWiki 1.39.5https://wiki.math.wisc.edu/index.php?title=Algebra&diff=22887Algebra2022-02-25T03:18:16Z<p>Terwilli: </p>
<hr />
<div><!-->[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.--><br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory, with applications to harmonic analysis, signal processing, mathematical physics.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
[https://math.wisc.edu/staff/wen-boya/ Boya Wen:] (Princeton, 2021) Number theory and arithmetic geometry.<br />
<br />
[https://sites.google.com/view/zqyang/ Ziquan Yang] (Harvard, 2021) Number theory and arithmetic geometry.<br />
<br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar Algebra and Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar Graduate Algebraic Geometry Seminar] (Wednesdays at 4:00)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[https://sites.google.com/wisc.edu/madisonmoduliweekend/home Madison Moduli Weekend], September 2020.<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Georgia, Washington U., UIUC, Bowdoin, Leiden, Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Two Sigma, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22885Algebra2022-02-25T03:16:42Z<p>Terwilli: </p>
<hr />
<div><!-->[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.--><br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory, with applications to harmonic analysis, signal processing, mathematical physics.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
[https://math.wisc.edu/staff/wen-boya/ Boya Wen:] (Princeton, 2021) Number theory and arithmetic geometry.<br />
<br />
[https://sites.google.com/view/zqyang/ Ziquan Yang] (Harvard, 2021) Arithmetic geometry, number theory.<br />
<br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar Algebra and Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar Graduate Algebraic Geometry Seminar] (Wednesdays at 4:00)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Georgia, Washington U., UIUC, Bowdoin, Leiden, Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Two Sigma, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22883Algebra2022-02-25T03:13:27Z<p>Terwilli: </p>
<hr />
<div><!-->[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.--><br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory, with applications to harmonic analysis, signal processing, mathematical physics.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
[https://math.wisc.edu/staff/wen-boya/ Boya Wen:] (Princeton, 2021) Number theory and arithmetic geometry.<br />
<br />
[https://sites.google.com/view/zqyang/ Ziquan Yang] (Harvard, 2021) Arithmetic geometry.<br />
<br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
<br />
<br />
[https://sites.google.com/view/zqyang/ Ziquan Yang:] (Harvard 2021) Arithmetic geometry, hyperkähler varieties, geometry and applications of Shimura varieties.<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar Algebra and Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar Graduate Algebraic Geometry Seminar] (Wednesdays at 4:00)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Georgia, Washington U., UIUC, Leiden, Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Two Sigma, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22880Algebra2022-02-25T01:00:38Z<p>Terwilli: </p>
<hr />
<div><!-->[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.--><br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar Algebra and Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar Graduate Algebraic Geometry Seminar] (Wednesdays at 4:00)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22879Algebra2022-02-25T00:59:51Z<p>Terwilli: </p>
<hr />
<div><!-->[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.--><br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar Algebra and Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar Graduate Algebraic Geometry Seminar] (Wednesdays at 4:00)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22878Algebra2022-02-25T00:59:21Z<p>Terwilli: </p>
<hr />
<div><-->[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.--><br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar Algebra and Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar Graduate Algebraic Geometry Seminar] (Wednesdays at 4:00)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22877Algebra2022-02-25T00:57:50Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar Algebra and Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar Graduate Algebraic Geometry Seminar] (Wednesdays at 4:00)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22876Algebra2022-02-25T00:55:12Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar Algebra and Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar Graduate Algebraic Geometry Seminar] Wednesdays at 4:00<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22875Algebra2022-02-25T00:52:57Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar Algebra and Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://hilbert.math.wisc.edu/wiki/index.php?title=Graduate_Algebraic_Geometry_Seminar Graduate Algebraic Geometry Seminar] Wednesdays at 4:00<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22874Algebra2022-02-25T00:49:49Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar Algebra and Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22873Algebra2022-02-25T00:47:39Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar] Algebra and Algebraic Geometry Seminar (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22872Algebra2022-02-25T00:45:48Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22871Algebra2022-02-25T00:44:01Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[http://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar_Spring_2022#Spring_2022_Schedule ] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22870Algebra2022-02-25T00:42:21Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://hilbert.math.wisc.edu/wiki/index.php/Algebra_and_Algebraic_Geometry_Seminar_Spring_2022#Spring_2022_Schedule ] (Fridays at 2:30)<br />
<!--[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)--><br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22869Algebra2022-02-25T00:31:01Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22868Algebra2022-02-25T00:30:24Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<br />
<!--The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas.--> <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22867Algebra2022-02-25T00:25:16Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Nigel Boston<br />
Professor, Ph.D. Harvard (1987) <br />
Research: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22866Algebra2022-02-25T00:21:30Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
<!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22865Algebra2022-02-25T00:20:35Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. <br />
!-->Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].--><br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22864Algebra2022-02-25T00:19:02Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22863Algebra2022-02-25T00:17:00Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://people.math.wisc.edu/~asobieska/ Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22862Algebra2022-02-25T00:15:19Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22861Algebra2022-02-25T00:14:51Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
<!--[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory--><br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22860Algebra2022-02-25T00:13:32Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22859Algebra2022-02-25T00:13:09Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22858Algebra2022-02-25T00:12:01Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22857Algebra2022-02-25T00:11:32Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
<!--[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry.--> <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
<!--[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry--><br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory and arithmetic algebraic geometry.<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22856Algebra2022-02-25T00:07:28Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] Number theory and arithmetic algebraic geometry<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22855Algebra2022-02-25T00:04:57Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] Number theory and arithmetic algebraic geometry<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22854Algebra2022-02-25T00:04:25Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
[https://people.math.wisc.edu/~shi/ Yousheng Shi:] Number theory and arithmetic algebraic geometry<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22853Algebra2022-02-24T22:02:07Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22852Algebra2022-02-24T22:01:17Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
<!--Lie Theory Seminar (Mondays at 1:20 in VV901)--><br />
<!--<br />
[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22851Algebra2022-02-24T21:56:39Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://pages.cs.wisc.edu/~amos/ Amos Ron:] (Tel Aviv, 1987) Approximation theory, wavelets, Gabor systems, splines, polynomial interpolation, data representation, frames, scientific data, applications (joint appointment with CS.)<br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
Lie Theory Seminar (Mondays at 1:20 in VV901)<br />
<!--<br />
[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22850Algebra2022-02-24T21:50:42Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory (also in the probability group.)<br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations (also in the analysis group.)<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[https://hanbaeklyu.com/ Hanbaek Lyu:] (Ohio State, 2018) Discrete probability, dynamical systems, networks, optimization, machine learning (also in the probability group.) <br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
Lie Theory Seminar (Mondays at 1:20 in VV901)<br />
<!--<br />
[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22849Algebra2022-02-24T21:45:28Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory <br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebras, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
Lie Theory Seminar (Mondays at 1:20 in VV901)<br />
<!--<br />
[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22848Algebra2022-02-24T21:44:23Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory <br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Algebraic combinatorics, representation theory, Lie algebra, quantum groups, special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
Lie Theory Seminar (Mondays at 1:20 in VV901)<br />
<!--<br />
[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22846Algebra2022-02-24T21:43:04Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) Integrable probability, random matrices, asymptotic representation theory <br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) Harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
Lie Theory Seminar (Mondays at 1:20 in VV901)<br />
<!--<br />
[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22845Algebra2022-02-24T21:42:13Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) integrable probability, random matrices, asymptotic representation theory <br />
<br />
[https://people.math.wisc.edu/~sguo223/ Shaoming Guo:] (Bonn, 2015) harmonic analysis, analytic number theory, combinatorics, geometric measure theory, partial differential equations.<br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
Lie Theory Seminar (Mondays at 1:20 in VV901)<br />
<!--<br />
[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra&diff=22842Algebra2022-02-24T21:35:52Z<p>Terwilli: /* Research at UW-Madison in algebra */</p>
<hr />
<div>[[http://www.math.wisc.edu/algrtg/]]http://www.math.wisc.edu/algrtg/ is the RTG homepage.<br />
<br />
== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://www.math.wisc.edu/~arinkin/ Dima Arinkin]: (Harvard, 2002) Algebraic geometry, geometric representation theory, especially geometric Langlands conjecture.<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<!--[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)--><br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.wisc.edu/~derman/ Daniel Erman:] (Berkeley, 2010) Algebraic geometry and commutative algebra<br />
<br />
[https://people.math.wisc.edu/~vadicgor/ Vadim Gorin:] (Moscow, 2011) integrable probability, random matrices, asymptotic representation theory <br />
<br />
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
[https://people.math.wisc.edu/~kemeny/homepage.html Michael Kemeny:] (Bonn, 2015) Algebraic geometry and commutative algebra, in particular the study of moduli and syzygies of algebraic varieties.<br />
<br />
[http://www.math.wisc.edu/~marshall/ Simon Marshall:] (Princeton, 2010) Analytic number theory (also in the analysis group.)<br />
<br />
[https://www.math.wisc.edu/~maxim/ Laurentiu Maxim:] (Penn, 2005) Topology of algebraic varieties, singularities (also in the geometry/topology group.)<br />
<br />
[https://www.math.wisc.edu/~jose/ Jose Israel Rodriguez:] (Berkeley, 2014) Applied algebraic geometry and algebraic methods for statistics.<br />
<!--[http://www.math.wisc.edu/~svs/ Steven Sam:] (MIT, 2012) Commutative algebra, invariant theory, algebraic combinatorics--><br />
<br />
[https://sites.google.com/view/ashankar/home Ananth Shankar:] (Harvard, 2017) Arithmetic geometry and number theory.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions. <br />
<!--[http://www.math.wisc.edu/~mmwood/ Melanie Matchett Wood:] (Princeton, 2009) Number theory and arithmetic geometry.--><br />
<br />
[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Complex algebraic geometry, algebraic statistics and combinatorics. (Also in the geometry/topology group)<br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
<!--[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.wisc.edu/~cais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias.<br />
<br />
[http://www.math.wisc.edu/~ballard/ Matthew Ballard:] (U Washington, 2008) Homological mirror symmetry.<br />
<br />
[http://www.math.wisc.edu/~rharron/ Robert Harron:] (Princeton, 2009): Algebraic number theory, Iwasawa theory, p-adic Galois representations and automorphic forms.<br />
<br />
[http://www.math.wisc.edu/~klagsbru/ Zev Klagsbrun:] (UC-Irvine, 2011): Algebraic number theory and arithmetic geometry.<br />
<br />
Parker Lowrey: (University of Texas-Austin, 2010) Algebraic geometry and algebraic topology<br />
<br />
[http://www.math.wisc.edu/~srostami/ Sean Rostami:] (University of Maryland, 2012): representation theory of algebraic groups, local models of Shimura varieties<br />
<br />
[http://www.math.wisc.edu/~josizemore/ Owen Sizemore:] (UCLA, 2012) Operator Algebras, Orbit Equivalence Ergodic Theory, Measure Equivalence Rigidity of Groups <br />
<br />
[http://www.math.wisc.edu/~grizzard/ Robert Grizzard:] (U Texas, 2014) Algebraic number theory, diophantine geometry, heights<br />
--><br />
<br />
[http://www.math.wisc.edu/~mkbrown5/ Michael Brown:] (Nebraska, 2015) K-theory, commutative algebra, (noncommutative) algebraic geometry. <br />
<!--[https://sites.google.com/a/wisc.edu/alexandra-a-kjuchukova/home Alexandra Kjuchukova:] (Penn, 2015) Topology of algebraic varieties, branched covers--><br />
<br />
[https://sites.google.com/site/dcorey2814/ Daniel Corey:] (Yale, 2018) Tropical geometry<br />
<!--[http://www.math.wisc.edu/~pavlov/ Alexander Pavlov:] (U Toronto, 2015) Commutative algebra, algebraic geometry--><br />
<br />
Yousheng Shi: (Maryland, 2019) Number theory, automorphic forms<br />
<br />
<!--[http://www.math.wisc.edu/~ntalebiz Naser T. Sardari:] (Princeton, 2016) Number theory, especially: quadratic forms, automorphic forms, locally symmetric spaces--><br />
[https://markshus.wixsite.com/math Mark Shusterman:] (Tel Aviv, 2019) Number theory and group theory<br />
<br />
[https://www.math.wisc/edu/~asobieska Aleksandra (Ola) Sobieska:] (Texas A&M University, 2020) Commutative algebra, combinatorics<br />
<br />
<!--[http://www.math.wisc.edu/~wang/ Botong Wang:] (Purdue, 2012) Topology of algebraic varieties, topological methods in statistics--><br />
<!--[https://sites.google.com/wisc.edu/jwg/home John Wiltshire-Gordon:] (Michigan, 2016) Algebra, topology and combinatorics, especially: representation theory of categories--><br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Algebraic_Geometry_Seminar Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/wiki/index.php/Applied_Algebra_Seminar Applied Algebra Seminar] (Thursdays)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
Lie Theory Seminar (Mondays at 1:20 in VV901)<br />
<!--<br />
[https://www.math.wisc.edu/wiki/index.php/Group_Theory_Seminar Group Theory Seminar (mostly local speakers)] (Tuesdays at 4:00)--><br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTSGrad_Fall_2018 Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
[http://silo.ece.wisc.edu/web/content/seminars SILO (Systems, Information, Learning and Optimization)] (Wednesdays at 12:30)<br />
<br />
[https://docs.google.com/document/d/e/2PACX-1vQaFtI9Pvf7HYTmch19qftoBUR81hevJ9n3F1viS_b-QxfAMz4fcIo6-jxQjMkpZvZqSJn2IS33BrG6/pub Online Social Chit-Chats] (various times)<br />
<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
[http://www.math.grinnell.edu/~paulhusj/ants2018/ ANTS XIII] (Algorithmic Number Theory Symposium), July 2018<br />
<br />
[https://www.math.wisc.edu/~rdavis/conference/ Arithmetic of Algebraic Curves], April 2018<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing18.html Singularities in the Midwest V], March 2018<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing17.html Singularities in the Midwest IV], March 2017<br />
<br />
[http://www.math.wisc.edu/~boston/applalg3.html Applied Algebra Days 3], May 2016<br />
<br />
[http://www.math.wisc.edu/~derman/UMW.html Upper midwest commutative algebra colloquium], November 2015<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing15.html Stratified spaces in geometric and computational topology and physics (Shaneson 70)], March 2015<br />
<br />
[http://www.math.wisc.edu/~boston/applalg2.html Applied Algebra Days 2], May 2014<br />
<br />
[https://sites.google.com/site/gtntd2013/ Group Theory, Number Theory, and Topology Day], January 2013<br />
<br />
[https://sites.google.com/site/mirrorsymmetryinthemidwest/ Mirror Symmetry in the Midwest], November 2012<br />
<br />
[https://sites.google.com/site/uwmagc/ Midwest Algebraic Geometry Graduate Conference], November 2012<br />
<br />
[http://www.math.wisc.edu/~boston/applalg.html Applied Algebra Days], October 2011<br />
<br />
[https://sites.google.com/site/mntcg2011/ Midwest Number Theory Conference for Graduate Students], November 2011<br />
<br />
[http://sites.google.com/site/uwmagc/ RTG Graduate Student Workshop in Algebraic Geometry], October 2010<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html RTG Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/graduate/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Chicago, Michigan, Penn, Imperial (UK), MIT, Princeton, Stanford, University of Cologne(Germany), Max Planck Institut, and UT-Austin, to tenure-track jobs at Oregon, Wake Forest, SUNY-Geneseo, Bogacizi (Turkey), Chennai Mathematical Institute (India), CUNY, the University of Sheffield (UK), the University of Missouri, and the University of South Carolina, and to non-academic positions at places such as Google, Robart GMBH, Microsoft, Credit Suisse and the Center for Communications Research, La Jolla.<br />
<br />
<br />
'''Emeritus faculty in algebra'''<br />
<br />
Steven Bauman <br />
Professor, University of Illinois at Urbana-Champaign (1962) <br />
Research: Finite group theory<br />
<br />
Georgia Benkart <br />
E. B. Van Vleck Professor of Mathematics, Ph.D. Yale University (1974) <br />
Research: Lie Theory, Quantum Groups and Representation Theory.<br />
<br />
Michael Bleicher <br />
Professor, Ph.D. Tulane University and University of Warsaw (1961) <br />
Research: Number theory and convex geometry<br />
<br />
Richard A. Brualdi <br />
Beckwith Bascom Professor of Mathematics, Ph.D. Syracuse University (1964) <br />
Research: Combinatorics, Graph Theory, Matrix Theory, Coding Theory<br />
<br />
Donald Crowe <br />
Professor, Ph.D. University of Michigan (1959) <br />
Research: Classical geometry and African patterns<br />
<br />
I. Martin Isaacs <br />
Professor, Ph.D. Harvard University (1964) <br />
Research: Group Theory, Algebra<br />
<br />
J. Marshall Osborn <br />
Professor, Ph.D. University of Chicago (1957) <br />
Research: Non-associative rings and Lie algebras<br />
<br />
Donald Passman <br />
Richard Brauer Professor of Mathematics, Ph.D. Harvard University (1964) <br />
Research: Associative Rings and Algebras, Group Theory<br />
<br />
Louis Solomon <br />
Professor, Ph.D. Harvard University (1958) <br />
Research: Finite group theory and hyperplane arrangements <br />
<br />
Robert Wilson <br />
Professor, Ph.D. University of Wisconsin-Madison (1969) <br />
Research: Algebra, Math. Education.</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra_and_Algebraic_Geometry_Seminar_Spring_2019&diff=16584Algebra and Algebraic Geometry Seminar Spring 20192018-12-27T16:26:06Z<p>Terwilli: </p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in room B235.<br />
<br />
Here is the schedule for [[Algebra and Algebraic Geometry Seminar Fall 2018 | the previous semester]] and for [[Algebra and Algebraic Geometry Seminar Fall 2019 | the next semester]]<br />
<br />
==Algebra and Algebraic Geometry Mailing List==<br />
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags AGS Mailing List] to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).<br />
<br />
<br />
== Spring 2019 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
<br />
|-<br />
|January 25<br />
|[http://www.math.utah.edu/~smolkin/ Daniel Smolkin (Utah)]<br />
|TBD<br />
|Daniel<br />
|-<br />
|February 1<br />
|Juliette Bruce<br />
|TBD<br />
|Local<br />
|-<br />
|February 8<br />
|Reserved<br />
|TBD<br />
|Wanlin and Juliette<br />
|-<br />
|February 15<br />
|Pavlo Pylyavskyy (U. Minn)<br />
|TBD<br />
|Paul Terwilliger<br />
|-<br />
|February 22<br />
|Michael Brown<br />
|Chern-Weil theory for matrix factorizations<br />
|Local<br />
|-<br />
|March 1<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|March 8<br />
|Jay Kopper (UIC)<br />
|TBD<br />
|Daniel<br />
|-<br />
|March 15<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|March 22<br />
|No Meeting<br />
|Spring Break<br />
|TBD<br />
|-<br />
|March 29<br />
|[https://math.berkeley.edu/~ceur/ Chris Eur (UC Berkeley)]<br />
|TBD<br />
|Daniel<br />
|-<br />
|April 5<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|April 12<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|April 19<br />
|[http://www-personal.umich.edu/~grifo/ Elo&iacute;sa Grifo (Michigan)]<br />
|TBD<br />
|TBD<br />
|-<br />
|April 26<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|May 3<br />
|TBD<br />
|TBD<br />
|TBD<br />
|}</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra_and_Algebraic_Geometry_Seminar_Fall_2018&diff=15816Algebra and Algebraic Geometry Seminar Fall 20182018-09-01T20:37:43Z<p>Terwilli: /* Fall 2018 Schedule */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in room B235.<br />
<br />
Here is the schedule for [[Algebra and Algebraic Geometry Seminar Spring 2018 | the previous semester]].<br />
<!--, [[Algebraic Geometry Seminar Spring 2018 | the next semester]], and for [[Algebraic Geometry Seminar | this semester]]. --><br />
<br />
==Algebra and Algebraic Geometry Mailing List==<br />
<br />
<br />
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags AGS Mailing List] to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).<br />
<br />
== Fall 2018 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
<br />
|-<br />
|September 7<br />
|Daniel Erman<br />
|Big Polynomial Rings and Stillman's Conjecture<br />
|Local<br />
|-<br />
|September 14<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|September 21<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|September 28<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|October 5<br />
|Mark Walker (Nebraska)<br />
|TBD<br />
|Michael and Daniel<br />
|-<br />
|October 12<br />
|Jose Rodriguez (Wisconsin)<br />
|TBD<br />
|Local<br />
|-<br />
|October 19<br />
|Oleksandr Tsymbaliuk (Yale)<br />
|TBD<br />
|Paul Terwilliger<br />
|-<br />
|October 26<br />
|Wanlin Li<br />
|TBD<br />
|Local<br />
|-<br />
|November 2<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|November 9<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|November 16<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|November 23<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|November 30<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|December 7<br />
|Michael Brown<br />
|TBD<br />
|Local<br />
|-<br />
|December 14<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|}<br />
<br />
== Abstracts ==</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Algebra_and_Algebraic_Geometry_Seminar_Fall_2018&diff=15815Algebra and Algebraic Geometry Seminar Fall 20182018-09-01T20:34:52Z<p>Terwilli: /* Fall 2018 Schedule */</p>
<hr />
<div>The seminar meets on Fridays at 2:25 pm in room B235.<br />
<br />
Here is the schedule for [[Algebra and Algebraic Geometry Seminar Spring 2018 | the previous semester]].<br />
<!--, [[Algebraic Geometry Seminar Spring 2018 | the next semester]], and for [[Algebraic Geometry Seminar | this semester]]. --><br />
<br />
==Algebra and Algebraic Geometry Mailing List==<br />
<br />
<br />
*Please join the [https://admin.lists.wisc.edu/index.php?p=11&l=ags AGS Mailing List] to hear about upcoming seminars, lunches, and other algebraic geometry events in the department (it is possible you must be on a math department computer to use this link).<br />
<br />
== Fall 2018 Schedule ==<br />
<br />
{| cellpadding="8"<br />
!align="left" | date<br />
!align="left" | speaker<br />
!align="left" | title<br />
!align="left" | host(s) <br />
<br />
|-<br />
|September 7<br />
|Daniel Erman<br />
|Big Polynomial Rings and Stillman's Conjecture<br />
|Local<br />
|-<br />
|September 14<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|September 21<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|September 28<br />
|TBD<br />
|TBD<br />
|TBD<br />
|-<br />
|October 5<br />
|Mark Walker (Nebraska)<br />
|TBD<br />
|Michael and Daniel<br />
|-<br />
|October 12<br />
|Jose Rodriguez (Wisconsin)<br />
|TBD<br />
|Local<br />
|-<br />
|October 19<br />
|Oleksandr Tsymbaliuk (Yale)<br />
|-TBD<br />
|-TBD<br />
|-<br />
|October 26<br />
|Wanlin Li<br />
|TBD<br />
|Local<br />
|-<br />
|November 2<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|November 9<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|November 16<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|November 23<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|November 30<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|December 7<br />
|Michael Brown<br />
|TBD<br />
|Local<br />
|-<br />
|December 14<br />
|-TBD<br />
|-TBD<br />
|-TBD<br />
|-<br />
|}<br />
<br />
== Abstracts ==</div>Terwillihttps://wiki.math.wisc.edu/index.php?title=Research_at_UW-Madison_in_Algebra&diff=862Research at UW-Madison in Algebra2010-09-12T21:43:58Z<p>Terwilli: </p>
<hr />
<div>== '''Research at UW-Madison in algebra''' ==<br />
<br />
<br />
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, representation theory, and algebra with applications to science and engineering.<br />
<br />
'''Tenured and tenure-track faculty in algebra'''<br />
<br />
[http://pages.cs.wisc.edu/~bach/bach.html Eric Bach:] (Berkeley, 1984) Theoretical computer science, computational number theory, algebraic algorithms, complexity theory, cryptography, six-string automata. (Joint appointment with CS.)<br />
<br />
[http://www.math.wisc.edu/~boston/ Nigel Boston:] (Harvard, 1987) Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. (Joint appointments with ECE and CS.)<br />
<br />
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] (Cornell, 2000) Algebraic geometry, homological algebra, string theory.<br />
<br />
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (Chicago, 2007) (arrives Fall 2011) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. <br />
<br />
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] (Harvard, 1998) Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.<br />
<br />
[http://www.math.ias.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2005) Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.<br />
<br />
I. Martin Isaacs: (Harvard, 1964) Group theory, algebra.<br />
<br />
[http://www.math.wisc.edu/~ono/ Ken Ono]: (UCLA, 1993) (on leave 2010-11) Combinatorics and number theory involving elliptic curves, L-functions, modular forms, Maass forms, and partitions. <br />
<br />
[http://www.math.wisc.edu/~passman/ Donald Passman:] (Harvard, 1964) Ring theory, group theory, group rings and enveloping algebras of Lie algebras.<br />
<br />
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] (Illinois, 1982) Combinatorics, representation theory and special functions. <br />
<br />
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] (Maryland, 1995) number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.<br />
<br />
<br />
'''Postdoctoral fellows in algebra'''<br />
<br />
[http://www.math.wisc.edu/~brownda/ David Brown:] (Berkeley, 2010) Number theory and arithmetic geometry, especially: p-adic cohomology, arithmetic of varieties, stacks, moduli, Galois representations, non-abelian techniques.<br />
<br />
[http://www.math.mcgill.ca/bcais/ Bryden Cais:] (Michigan, 2007) Algebraic and arithmetic geometry, with a strong number theory bias. <br />
<br />
[http://www.math.wisc.edu/~mehrotra/ Sukhendu Mehrotra:] (Penn, 2005) Algebraic geometry, homological algebra and string theory,<br />
specifically, derived categories of coherent sheaves on algebraic varieties.<br />
<br />
'''Seminars in algebra'''<br />
<br />
The weekly schedule at UW features many seminars in the algebraic research areas of the faculty.<br />
<br />
[https://www.math.wisc.edu/webcalendar/month.php?user=alg_geom Algebraic Geometry Seminar] (Fridays at 2:30)<br />
<br />
[https://www.math.wisc.edu/webcalendar/month.php?user=liethy Lie theory seminar] (Mondays at 1:20 901VV)<br />
<br />
[http://www.math.wisc.edu/~terwilli/combsemsched.html Combinatorics Seminar] (Mondays at 2:25)<br />
<br />
[http://www.math.wisc.edu/~passman/seminars.html Group Theory Seminar] (Mondays at 3:30)<br />
<br />
[http://www.math.wisc.edu/wiki/index.php/NTS Number Theory Seminar (outside speakers)](Thursdays at 2:30)<br />
<br />
[http://www.math.wisc.edu/~masri/Spring2010a.html Number Theory Seminar (grad student speakers)] (Tuesdays at 2:30)<br />
<br />
'''Upcoming conferences in algebra held at UW'''<br />
<br />
Graduate student conference in algebraic geometry, Fall 2010<br />
<br />
'''Previous conferences in algebra held at UW'''<br />
<br />
[http://www.math.wisc.edu/~jeanluc/pAconf.html Workshop on Pseudo-Anosovs with Small Dilatation], April 2010<br />
<br />
[http://www.math.wisc.edu/~maxim/Sing10.html Singularities in the Midwest], March 2010<br />
<br />
[http://www.math.wisc.edu/~ellenber/mntcg/index.html Midwest Graduate Student Conference in Number Theory], November 2009<br />
<br />
[http://www.math.wisc.edu/~ellenber/MNTD09.html Midwest Number Theory Day], November 2009<br />
<br />
Miniconference on pro-p groups in number theory, April 2008<br />
<br />
[http://www.math.wisc.edu/~ellenber/ProPday.html Pro-p groups and pro-p algebras in number theory], April 2007<br />
<br />
'''Graduate study at UW-Madison in algebra'''<br />
<br />
Algebra is among the most popular specializations for UW Ph.D. students. Regularly offered courses include a four-semester sequence in number theory; a two-semester sequence in algebraic geometry; homological algebra; representation theory; advanced topics in group theory. We also regularly offer more advanced topics courses, which in recent years have included the Gross-Zagier formula, classification of algebraic surfaces, and p-adic Hodge theory. Here is [http://www.math.wisc.edu/gcourses_fall a list of this fall's graduate courses].<br />
<br />
The department holds an [http://www.nsf.gov/awardsearch/showAward.do?AwardNumber=0838210&version=noscript NSF-RTG grant in number theory and algebraic geometry], which funds several research assistantships for graduate students (U.S. citizens and permanent residents) working in those areas. <br />
<br />
Recent Ph.D. graduates from the group have been very successful on the job market; in the last few years, we have sent alumni to postdoctoral fellowships at Berkeley, Harvard, Imperial (UK), MIT, Princeton, Stanford, and UT-Austin, to tenure-track jobs at McGill, Wake Forest, Bucknell, the University of New Mexico, and the University of South Carolina, and to non-academic positions at places such as Credit Suisse and the Center for Communications Research, La Jolla.</div>Terwilli