Research at UW-Madison in Algebra: Difference between revisions
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UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, and representation theory. | UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, and representation theory. | ||
''' | '''Tenure-track faculty in algebra''' | ||
[http://www.math.wisc.edu/~boston/ Nigel Boston:] Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. | [http://www.math.wisc.edu/~boston/ Nigel Boston:] Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering. | ||
[http://www.math.wisc.edu/~andreic/ Andrei Caldararu:] Algebraic geometry, homological algebra, string theory. | |||
[http://www.math.yale.edu/~td252/ Tullia Dymarz:] (arrives Fall 2011) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. | [http://www.math.yale.edu/~td252/ Tullia Dymarz:] (arrives Fall 2011) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis. | ||
[http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] Arithmetic geometry and algebraic number theory. | [http://www.math.wisc.edu/~ellenber/ Jordan Ellenberg:] Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields. | ||
[http://www.math.ias.edu/~shamgar/ Shamgar Gurevich:] Geometric representation theory, with applications to harmonic analysis, | [http://www.math.ias.edu/~shamgar/ Shamgar Gurevich:] Geometric representation theory, with applications to harmonic analysis, | ||
signal processing, mathematical physics, and three-dimensional structuring of molecules. | signal processing, mathematical physics, and three-dimensional structuring of molecules. | ||
Martin Isaacs: Group theory, algebra. | |||
[http:// http://www.math.wisc.edu/~ono/ Ken Ono]: (on leave 2010-11) Combinatorics and number theory involving elliptic curves, L-functions, modular forms, Maass forms, and partitions. | |||
[http://www.math.wisc.edu/~passman/ Donald Passman:] Ring theory, group theory, group rings and enveloping algebras of Lie algebras. | |||
[http://www.math.wisc.edu/~terwilli/ Paul Terwilliger:] Combinatorics, representation theory and special functions. | |||
[http://www.math.wisc.edu/~thyang/ Tonghai Yang:] number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves. | |||
Revision as of 00:23, 27 July 2010
Research at UW-Madison in algebra
UW-Madison offers a large, active, and varied research group in algebra, including researchers in number theory, combinatorics, group theory, algebraic geometry, and representation theory.
Tenure-track faculty in algebra
Nigel Boston: Algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering.
Andrei Caldararu: Algebraic geometry, homological algebra, string theory.
Tullia Dymarz: (arrives Fall 2011) Geometric group theory, quasi-isometric rigidity, large scale geometry of finitely generated groups, solvable groups and quasiconformal analysis.
Jordan Ellenberg: Arithmetic geometry and algebraic number theory, especially rational points on varieties over global fields.
Shamgar Gurevich: Geometric representation theory, with applications to harmonic analysis, signal processing, mathematical physics, and three-dimensional structuring of molecules.
Martin Isaacs: Group theory, algebra.
[http:// http://www.math.wisc.edu/~ono/ Ken Ono]: (on leave 2010-11) Combinatorics and number theory involving elliptic curves, L-functions, modular forms, Maass forms, and partitions.
Donald Passman: Ring theory, group theory, group rings and enveloping algebras of Lie algebras.
Paul Terwilliger: Combinatorics, representation theory and special functions.
Tonghai Yang: number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.