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__NOTOC__


[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]
[[File:Marbling GFM.jpg|link=https://www.youtube.com/watch?v=yzlPvtDmtAE&ab_channel=AmericanPhysicalSociety|thumb|[https://www.youtube.com/watch?v=yzlPvtDmtAE&ab_channel=AmericanPhysicalSociety Fluid marbling in the Madison Applied Math Lab]]]<!-- Added by stechmann 2013-02-03 -->
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|Scattered rain clouds versus an organized storm (a squall line).]]
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|Jet striking an inclined plane.]]


__NOTOC__
= '''Applied and Computational Mathematics at UW-Madison''' =


= '''Applied Mathematics at UW-Madison''' =
Welcome to the Applied and Computational Mathematics Group at the University of Wisconsin, Madison.  Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, topology, and data science.


Welcome to the Applied Mathematics Group at the University of Wisconsin, Madison.  Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, and topology.
To pursue graduate studies in Applied and Computational Mathematics, see the [https://math.wisc.edu/graduate/ Mathematics Graduate Program].
 
__TOC__
 
== News and opportunities ==
 
Full a full list of recent events within the department, see the [https://math.wisc.edu/ Mathematics Department Website].
 
* '''Parvathi Kooloth''' (former Ph.D. student of Leslie Smith) has been awarded the Dissertation Prize of the Association for Women in Mathematics (AWM) (Fall 2023). <!-- Added by sam 2024-01-08 -->
 
* '''Anjali Nair''' (Ph.D. student of Qin Li) has accepted a postdoctoral position as Kruskal Instructor at the University of Chicago (Fall 2023). <!-- Added by sam 2024-01-08 -->
 
* '''Jason Torchinsky''' (Ph.D. student of Sam Stechmann) has accepted a postdoctoral position at Sandia National Lab (Fall 2023). <!-- Added by sam 2024-01-08 -->
 
* '''Yue Sun''' (Ph.D. student of Chris Rycroft) won the top prize in the Gallery of Fluid Motion for her video ([https://www.youtube.com/watch?v=yzlPvtDmtAE linked here]), based on work in the [https://people.math.wisc.edu/appliedmathlab/ AMEP lab] (Fall 2023). <!-- Added by saverio 2024-01-07 -->
 
* The [https://people.math.wisc.edu/appliedmathlab/ AMEP lab] appeared in [https://explore.wisc.edu/siftwinnow-december-2023 Sift and Winnow] and in the [https://ls.wisc.edu/news/top-5-l-s-stories-of-2023 Top 5 UW L&S stories of the year] (Fall 2023). <!-- Added by saverio 2024-01-07 -->
 
* '''Jean-Luc Thiffeault''' was named a fellow of the [https://www.aps.org/programs/honors/fellowships/archive-all.cfm American Physical Society] (Fall 2022). <!-- Added by Saverio 2024-01-07 -->
 
* '''Leslie Smith''' was named a fellow of the [https://www.ams.org/cgi-bin/fellows/fellows.cgi American Mathematical Society] (Fall 2022). <!-- Added by Saverio 2024-01-07 -->
 
* '''Maurice Fabien''' has joined the department (Fall 2022). <!-- Updated by saverio 2023-01-30 -->
 
* '''Chris Rycroft''' has joined the department (Fall 2022). <!-- Updated by saverio 2023-01-30 -->
 
* '''Tom Edwards''' (former Ph.D. student of Leslie Smith and Sam Stechmann) will begin a new job at Google in Fall 2021. <!-- Updated by sam 2021-11-09 -->
 
* '''Quanling Deng''' (former postdoc of Sam Stechmann and Nan Chen) has accepted a faculty position at the Australian National University to begin in January 2022. <!-- Updated by sam 2021-11-09 -->
 
* '''Ying Li''' (former Ph.D. student of Sam Stechmann) will begin as a Data Scientist at Wells Fargo Bank in November 2021. <!-- Updated by sam 2021-11-09 -->
 
* '''Leonardo Andrés Zepeda-Núñez''' has joined the department (Fall 2019). <!-- Updated by Saverio 2019-07-19 -->
 
* '''Amy Cochran''' has joined the department (Fall 2019). <!-- Updated by saverio 2019-07-19 -->
 
* '''Jason Torchinsky''' (Ph.D. student of Sam Stechmann) has been awarded a Computational Science Graduate Fellowship from the Department of Energy (Spring 2019). <!-- Added by stechmann 2019-07-21 -->
 
* '''Nan Chen''' has joined the department (Fall 2018). <!-- Updated by saverio 2019-07-19 -->
 
* '''Will Mitchell''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019. <!-- Updated by saverio 2019-03-18 -->
 
* '''Lei Li''' (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018. <!-- Updated by saverio 2019-03-18 -->
 
* '''Jean-Luc Thiffeault''' was featured in [https://www.washingtonpost.com/news/wonk/wp/2016/08/19/the-secret-mesmerizing-math-of-taffy-pulling/ Washington Post's Wonkblog] on his paper exploring the mathematical history of taffy pullers. [http://arxiv.org/pdf/1608.00152v1.pdf link to paper] <!-- Added by saverio 2016-09-16 -->
 
* '''Gheorghe Craciun''' was featured in [https://sinews.siam.org/DetailsPage/tabid/900/ArtMID/2243/ArticleID/781/Default.aspx SIAM News] on his recent proof of the Global Attractor Conjecture. [http://arxiv.org/pdf/1501.02860.pdf link to paper] <!-- Added by saverio 2016-09-16 -->
 
<!-- * '''Scott Hottovy''' (former postdoc of Sam Stechmann) has accepted a faculty position at the US Naval Academy to begin in Fall 2016. --> <!-- Added by stechmann 2019-07-21 -->
 
<!-- * '''Reed Ogrosky''' (former postdoc of Sam Stechmann) has accepted a faculty position at Virginia Commonwealth University to begin in Fall 2016. --> <!-- Added by stechmann 2019-07-21 -->
 
<!-- * '''Lei Li''' (Ph.D. student of Saverio Spagnolie) has accepted a postdoc offer from Duke University and will begin in Fall 2014. <!-- Added by saverio 2015-03-17  -->
 
<!-- * '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]! --> <!-- Added by jeanluc 2014-02-19 -->
 
<!-- * '''Sam Stechmann''' has been awarded a [http://www.sloan.org/sloan-research-fellowships/2014-sloan-research-fellows/ Sloan Fellowship]! -->  <!-- Added by jeanluc 2014-02-19 -->
 
<!-- * '''Zhennan Zhou''' (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014. --> <!-- Added by jeanluc 2014-02-14 -->
 
<!-- * '''Jingwei Hu''' (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014. --> <!-- Added by jeanluc 2014-02-14 -->
 
<!-- * '''Masanori Koyama''' (Ph.D. student of David Anderson) graduated in Fall 2014.  He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014. --> <!-- Added by Anderson 2014-02-10 -->
 
<!-- * '''Leland Jefferis''' (Ph.D. student of Shi Jin) was awarded an NSF Postdoctoral Fellowship and will be a postdoc at Department of Mathematics, Stanford University starting in Fall 2014. --> <!-- Added by jeanluc 2014-02-01 -->
 
<!-- * '''Shi Jin''' was elected to [http://fellows.siam.org/index.php?sort=year&value=2013 SIAM Fellow].  Last year he was part of the inaugural class of [http://www.ams.org/profession/fellows-list AMS Fellows]. -->  <!-- Added by jeanluc 2013-06-11 -->
 
== Workshops ==
 
* [https://indico.flatironinstitute.org/event/30/ Mathematical Fluids, Materials & Biology] Ann Arbor, MI, June 12-15, 2019
* [http://www.math.wisc.edu/apamrtg/?q=meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015
 
== Seminars ==
 
''Organized by Applied Math''
 
* [http://www.math.wisc.edu/wiki/index.php/Applied/ACMS Applied and Computational Math Seminar] (Fridays at 2:25pm, VV 901)
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Tuesdays at 4:00pm, VV B223)
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Rycroft/Spagnolie/Thiffeault) (Wednesdays at 4:00pm, VV 901)
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)
<!-- * Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811) -->
 
 
''Other seminar series of interest''
 
* [http://www.math.wisc.edu/wiki/index.php/Colloquia  Mathematics Colloquium] (Fridays at 4:00pm, VV B239)
* [http://www.math.wisc.edu/wiki/index.php/Probability_Seminar  Probability Seminar] (Thursdays at 2:25pm, VV 901)
* [http://silo.ece.wisc.edu/web/content/seminars SILO Seminar] (Wednesdays at 12:30pm, 3rd floor WID)
<!-- * [http://wid.wisc.edu/research/optimization/seminars/wid-dow/ WID-DOW Seminar] (Mondays at 4:00pm, 3rd floor WID) -->
* [http://sprott.physics.wisc.edu/Chaos-Complexity/ Chaos and Complex Systems Seminar] (Tuesdays at 12:05pm, 4274 Chamberlin Hall)
* [http://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)
* [http://today.wisc.edu/events/search?utf8=%E2%9C%93&search%5Bterm%5D=aos+colloquium AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)
* [http://www.astro.wisc.edu/news-events/events/category/1/1 Astronomy Colloquium] (Thursdays at 3:45 pm; 4421 Sterling Hall)


<br>
<br>
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== Tenured and tenure-track faculty ==
== Tenured and tenure-track faculty ==


[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability, mathematical/systems biology.
[http://www.math.wisc.edu/~anderson/ David Anderson:] (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.


[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.
[http://www.math.wisc.edu/~angenent/ Sigurd Angenent:] (Leiden, 1986) partial differential equations.


[http://www.math.wisc.edu/~assadi/ Amir Assadi:] (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.
[https://www.math.wisc.edu/~chennan/ Nan Chen:] (Courant, 2016) uncertainty quantification, data assimilation, geophysics, stochastic modeling, and data science.
 
[https://sites.google.com/site/amylouisecochran/home Amy Cochran:] (Cornell, 2013) population health science, computational psychiatry.
 
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.
 
[https://sites.google.com/site/albertodelpia/ Alberto Del Pia]: (Padova, 2009) mathematical optimization, discrete optimization, data science, theoretical computer science


[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.
[http://www.mauricefabien.com/ Maurice Fabien:] (Rice, 2019) high-performance scientific computing, numerical analysis


[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) math biology, biomolecular chemistry.
[http://www.math.wisc.edu/~shamgar/ Shamgar Gurevich:] (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.


[http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics.
[http://www.math.wisc.edu/~qinli/ Qin Li:] (Wisconsin, 2012) applied & computational mathematics.


[http://www.math.wisc.edu/~kiselev/ Alex Kiselev:] (CalTech, 1997) Fourier analysis and Schr&ouml;dinger operators.
[https://hanbaeklyu.com/ Hanbaek Lyu] (Ohio State, 2018) discrete probability, dynamical systems, networks, optimization, machine learning


[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.
[http://www.math.wisc.edu/~maribeff/ Gloria Mari-Beffa:] (Minnesota, 1991) differential geometry, applied math.


[http://www.math.wisc.edu/~milewski/ Paul Milewski:] (MIT, 1993) applied mathematics, fluid dynamics.
[https://sites.google.com/a/umn.edu/math-laurelohm/home Laurel Ohm] (University of Minnesota, 2020) Analysis of PDE arising in biofluid mechanics.
 
[http://www.math.wisc.edu/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.


[http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.
[https://people.math.wisc.edu/~chr/ Chris Rycroft:] (MIT, 2007) mathematical modeling, computational mathematics


[http://www.math.wisc.edu/~rossmani/ James Rossmanith:] (Washington, 2002) computational mathematics, hyperbolic conservation laws, plasma physics.
[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows. 


[http://www.math.wisc.edu/~lsmith/ Leslie Smith:] (MIT, 1988) applied mathematics.
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.


[http://www.math.wisc.edu/~stech/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) applied and computational math, climate and atmospheric science, scientific machine learning.


[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.
[http://www.math.wisc.edu/~jeanluc/ Jean-Luc Thiffeault:] (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.


[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied mathematics.
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.
 
[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda-Núñez:] (MIT, 2015) machine learning, numerical analysis, wave propagation, inverse problems.
 
 
 
 
<!-- [http://www.math.wisc.edu/~kiselev/ Alex (Sasha) Kiselev:] (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schr&ouml;dinger operators.-->
<!-- [http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials-->
<!-- [http://www.math.wisc.edu/~jin/ Shi Jin:] (Arizona, 1991) applied & computational mathematics. -->
<!-- [http://www.math.wisc.edu/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology. --><br>
 
== Postdoctoral fellows and researchers ==
 
[https://people.math.wisc.edu/~tgchandler/ Thomas Chandler:] (Oxford, 2021) soft matter, liquid crystals, complex fluids
 
[http://www.math.wisc.edu/~boonkasa Anakewit (Tete) Boonkasame:] (UW Madison, 2012)


<br>
[http://mbudisic.wordpress.com Marko Budi&#x161;i&#x107;:] (UC Santa Barbara, 2012) dynamical systems
 
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)
 
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids
 
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:] (University of Waterloo, 2011) dynamical systems
 
<!-- [https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions -->
 
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. -->


== Postdoctoral fellows ==


[http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation
== Current graduate students ==


<br>
{| class="wikitable sortable" style="margin-left: auto; margin-right: auto; border: none;"
|+ List of current graduate students (updated spring 2024).
|-
! Student !! Advisor (1) !! Advisor (2) !! Program Start Year !! Research Area
|-
| [https://math.wisc.edu/graduate-students/ Zinan Wang]                || Sigurd Angenent    ||              ||      || 
|-
| [https://ylzhang2447.github.io/ Yinling Zhang]                      || Nan Chen            ||              || 2021 ||
|-
| [https://math.wisc.edu/graduate-students/ Marios Andreou]            || Nan Chen            ||              || 2022 ||
|-
| [https://math.wisc.edu/graduate-students/ Zhongrui Wang]            || Nan Chen            ||              || 2023 ||
|-
| [https://math.wisc.edu/graduate-students/ Byran Xu]                  || Nan Chen            ||              || 2023 ||
|-
| [https://math.wisc.edu/graduate-students/ Haley Colgate]            || Amy Cochran        ||              || 2020 ||
|-
| [https://math.wisc.edu/graduate-students/ Enkhzaya "Eza" Enkhtaivan] || Amy Cochran        ||              ||      ||
|-
| [https://sites.google.com/view/jiaxinjin/ Jiaxin Jin]                || Gheorghe Craciun    || Chanwoo Kim  ||      ||
|-
| [https://sites.google.com/site/mathjennyy/ Jenny Yeon]              || Gheorghe Craciun    ||              ||      ||
|-
| [https://sites.google.com/view/pollyyu Polly Yu]                    || Gheorghe Craciun    ||              ||      ||
|-
| [https://math.wisc.edu/graduate-students/ Hongxu Chen]              || Chanwoo Kim        || Qin Li      ||      ||
|-
| [https://math.wisc.edu/graduate-students/ Shi Chen]                  || Qin Li              ||              ||      ||
|-
| [https://people.math.wisc.edu/~zding49/ Zhiyan Ding]                || Qin Li              ||              ||      ||
|-
| [https://sites.google.com/wisc.edu/nair-anjali/home Anjali Nair]    || Qin Li              ||              || 2018 ||
|-
| [https://math.wisc.edu/graduate-students/ Jenny Wei]                || Qin Li              || Yingyu Liang ||      ||
|-
| [https://borongzhang.com/ Borong Zhang]              || Qin Li              || Leonardo Zepeda-Núñez            ||      ||
|-
| [https://math.wisc.edu/graduate-students/ Parvathi Madathil Kooloth] || Leslie Smith        ||              ||      ||
|-
| [https://math.wisc.edu/graduate-students/ Varun Gudibanda]          || Leslie Smith        ||              || 2020 ||
|-
| [https://people.math.wisc.edu/~spagnolie/people.html Carsen Grote]                || Saverio Spagnolie  ||  || 2023 || Fluid-structure interactions
|-
| [https://people.math.wisc.edu/~spagnolie/people.html Jingyi Li]                || Saverio Spagnolie  ||  Laurel Ohm            || 2022 || Active suspensions in complex fluids
|-
| [https://people.math.wisc.edu/~spagnolie/people.html Hanzhang Mao]              || Saverio Spagnolie  ||              || 2023 || Free boundary problems in nonlinear elasticity
|-
| [https://math.wisc.edu/graduate-students/ Tianhong Huang]            || Samuel Stechmann    ||              ||      ||
|-
| [https://jasonltorchinsky.github.io/ Jason Torchinsky]              || Samuel Stechmann    ||              || 2018 || Data assimilation, multi-model communication, atmospheric modelling
|-
| [https://math.wisc.edu/graduate-students/ Carrie Hongfei Chen]      || Jean-Luc Thiffeault ||              ||      ||
|-
| [https://sites.google.com/wisc.edu/yufeng-webpage/home Yu Feng]      || Jean-Luc Thiffeault ||              ||      ||
|-
| [https://www.math.wisc.edu/~boakley/ Bryan Oakley]                  || Jean-Luc Thiffeault ||              ||      ||
|}


== Seminars ==


[http://www.math.wisc.edu/wiki/index.php/Applied/ACMS  Applied and Computational Math Seminar] (Fridays at 2:25pm, VV901)
<!-- Past students: -->
<!-- [https://math.wisc.edu/graduate-students/ Liu Liu:] Student of Shi Jin. -->
<!-- Yun Sun: Student of David Anderson.-->
<!-- [http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.-->
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.-->
<!-- [http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin. -->
<!-- [http://www.math.wisc.edu/~hu/ Jingwei Hu:] Student of Shi Jin. -->
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] Student of Shi Jin. -->
<!-- [http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie. -->
<!-- [http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie. -->
<!--Zhan Wang: Student of Paul Milewski.-->
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.-->
<!--Peng Qi: Student of Shi Jin. -->
<!--Li (Aug) Wang: Student of Shi Jin. -->
<!-- Lei Li: Student of Saverio Spagnolie. -->
<!--Li Wang: Student of Leslie Smith. -->
<!--David Seal: Student of James Rossmanith. -->
<!--E. Alec Johnson: Student of James Rossmanith. -->
<!--Hesam Dashti: MSc Student of Amir Assadi.-->
<!--Qiang Deng: Student of Leslie Smith.-->
<!--[http://www.math.wisc.edu/~matz/ Sarah Tumasz:] Student of Jean-Luc Thiffeault.-->
<!--[http://www.math.wisc.edu/~qinli/ Qin Li:] Student of Shi Jin.-->
<!--Yongtao Cheng: Student of James Rossmanith.-->
<!-- [http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault. -->


<br>
<br>
Line 59: Line 266:
== Graduate course offerings ==
== Graduate course offerings ==


Fall 2010:
=== Fall 2023 ===
* Math 703: [https://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics I] (L. Smith)
 
* Math 705: [https://www.math.wisc.edu/math-727-calculus-variations-0 Mathematical Fluid Dynamics] (J-L. Thiffeault)
* Math 632: Introduction to Stochastic Processes (David Keating, Sebastien Roch)
* Math/CS 714: [https://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (P. Milewski)
* Math 703: Methods of Applied Mathematics I (Leslie Smith)
* Math 801: [https://www.math.wisc.edu/801-waves-fluids Topics in Applied Mathematics] (J. Mitchell)
* Math 714: Methods of Computational Math I (Sam Stechmann)
* Math 819: [https://www.math.wisc.edu/math-819-partial-differential-equations Partial Differential Equations] (S. Angenent)
 
=== Spring 2024 ===
 
* Math 632: Introduction to Stochastic Processes (David Clancy)
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)
* Math 715: Methods of Computational Math II (Maurice Fabien)
* Math 717: Stochastic Computational Methods (Nan Chen)
* Math 801: Topics in Applied Mathematics
 
<!--=== Fall 2022 ===
 
* Math 632: Introduction to Stochastic Processes (David Keating, Erik Bates)
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)
* Math 714: Methods of Computational Math I (Sam Stechmann)
* Math 717: Stochastic Computational Methods (Nan Chen)


=== Spring 2023 ===
* Math 632: Introduction to Stochastic Processes (David Keating, Sebastien Roch)
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)
* Math 715: Methods of Computational Math II (Maurice Fabien)
* Math 801: Topics in Applied Mathematics: Computational Fluid Dynamics (Saverio Spagnolie) -->
<!--=== [http://www.math.wisc.edu/graduate/gcourses_fall Spring 2021] ===
* Math 632: Introduction to Stochastic Processes (Scott Smith, Erik Bates, Tetiana Shcherbyna)
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)
* Math 715: Methods of Computational Math II (Leonardo Andrés Zepeda-Núñez)
* Math 716: Ordinary Differential Equations (Sigurd Angenent)
* Math 801: Topics in Applied Mathematics (Gheorghe Craciun)
* Math 807: Dynamical Systems (Hung Tran)
* Math 820: Partial Differential Equations (Chanwoo Kim)
<!--=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2021] ===
* Math 623: Complex Analysis (Betsy Stovall)
* Math 627: Introduction to Fourier Analysis (Sergey Denisov)
* Math 632: Introduction to Stochastic Processes (Vadim Gorin, Benedek Valko)
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)
* Math 714: Methods of Computational Math I (Leonardo Andrés Zepeda-Núñez)
* Math 821: Advanced Topics in Real Analysis [Fluid Dynamics] (Mihaela Ifrim)
* Math 833: Topics in the Theory of Probability [Stochastic Computational Methods] (Nan Chen)
<!--=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2019] ===
* Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)
* Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)
* Math 705: Mathematical Fluid Dynamics (Leslie Smith)
* Math 714: Methods of Computational Math I (Sam Stechmann)
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2020] ===
* Math 632: Introduction to Stochastic Processes (TBA)
* Math 704: Methods of Applied Mathematics II (TBA)
* Math 715: Methods of Computational Math II (TBA)
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2016] ===
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)
* Math 632: Introduction to Stochastic Processes (Sebastien Roch)
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)
* Math 714: Methods of Computational Math I (Shi Jin)
* Math 801: Topics in Applied Mathematics: Hydrodynamic instabilities and bifurcations (Fabian Waleffe)
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2017] ===
* Math 632: Introduction to Stochastic Processes (Daniele Cappelletti, Jun Yin)
* Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)
* Math 715: Methods of Computational Math II (Qin Li)
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Benedek Valko)
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)
* Math 714: Methods of Computational Math I (Sam Stechmann)
* Math 801: Topics in Applied Mathematics (Shi Jin)
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2015] ===
* Math 632: Introduction to Stochastic Processes (Sebastien Roch, Jun Yin)
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)
* Math 715: Methods of Computational Math II (Saverio Spagnolie)
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) -->
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===
* Math 605: Stochastic Methods for Biology (David Anderson)
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)
* Math 714: Methods of Computational Math I (Shi Jin)
* Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2014] ===
* Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)
* Math 632: Introduction to Stochastic Processes (Gregory Shinault)
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)
* Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)
* Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie) -->
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2012] ===
* Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)
* Math 632: Introduction to Stochastic Processes (David Anderson)
* Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)
* Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)
* Math 714: Methods of Computational Math I (Shi Jin)
* Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)
* Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)
=== [http://www.math.wisc.edu/graduate/gcourses_spring Spring 2013] ===
* Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)
* Math 715: Methods of Computational Math II (Saverio Spagnolie)
* Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault) -->
<!-- === Spring 2012 ===
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (S. Stechmann) -->
<!--
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2011] ===
* Math 605: [http://www.math.wisc.edu/math-727-calculus-variations-0 Stochastic Methods for Biology] (D. Anderson)
* Math 703: [http://www.math.wisc.edu/math-703-methods-applied-mathematics-i Methods of Applied Mathematics II] (L. Smith)
* Math 707: [http://www.math.wisc.edu/math707-ema700-theory-elasticity Theory of Elasticity] (F. Waleffe)
* Math 714: [http://www.math.wisc.edu/math-714-scientific-computing Methods of Computational Math I] (J. Mitchell)
* Math 801: [http://www.math.wisc.edu/801-waves-fluids Comp Math Applied to Biology] (A. Assadi)
* Math 837: [http://www.math.wisc.edu/math-837-topics-numerical-analysis Topics in Numerical Analysis] (S. Jin)
-->
<!--
Spring 2011:
Spring 2011:
* Math 609: [https://www.math.wisc.edu/609-mathematical-methods-systems-biology Mathematical Methods for Systems Biology] (G. Craciun)
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)
* Math 704: [https://www.math.wisc.edu/704-methods-applied-mathematics-2 Methods of Applied Mathematics II] (S. Stechmann)
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)
* Math/CS 715: [https://www.math.wisc.edu/715-methods-computational-math-ii Methods of Computational Math II] (S. Jin)
* Math 801: [https://www.math.wisc.edu/math-801-hydrodynamic-instabilities-chaos-and-turbulence Hydrodynamic Instabilities, Chaos and Turbulence] (F. Waleffe)
* Math 826: [https://www.math.wisc.edu/826-Functional-Analysis Partial Differential Equations in Fluids and Biology] (A. Kiselev)
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)
* Math/CS 837: [https://www.math.wisc.edu/837-Numerical-Analysis Numerical Methods for Hyperbolic PDEs] (J. Rossmanith)
* [https://www.math.wisc.edu/advanced-topics-functional-analysis-and-differential-equations-partial-differential-equations-fluids Advanced Topics in Functional Analysis and Differential Equations: Partial differential equations in fluids and biology] (A. Kiselev)
-->


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Latest revision as of 19:54, 6 September 2024

Fluid marbling in the Madison Applied Math Lab
HMSS2013 highlight1.png
Scattered rain clouds versus an organized storm (a squall line).
Jet striking an inclined plane.

Applied and Computational Mathematics at UW-Madison

Welcome to the Applied and Computational Mathematics Group at the University of Wisconsin, Madison. Our faculty members, postdoctoral fellows, and students are involved in a variety of research projects, including fluid dynamics, partial and stochastic differential equations, scientific computing, biology, biochemistry, topology, and data science.

To pursue graduate studies in Applied and Computational Mathematics, see the Mathematics Graduate Program.

News and opportunities

Full a full list of recent events within the department, see the Mathematics Department Website.

  • Parvathi Kooloth (former Ph.D. student of Leslie Smith) has been awarded the Dissertation Prize of the Association for Women in Mathematics (AWM) (Fall 2023).
  • Anjali Nair (Ph.D. student of Qin Li) has accepted a postdoctoral position as Kruskal Instructor at the University of Chicago (Fall 2023).
  • Jason Torchinsky (Ph.D. student of Sam Stechmann) has accepted a postdoctoral position at Sandia National Lab (Fall 2023).
  • Yue Sun (Ph.D. student of Chris Rycroft) won the top prize in the Gallery of Fluid Motion for her video (linked here), based on work in the AMEP lab (Fall 2023).
  • Maurice Fabien has joined the department (Fall 2022).
  • Chris Rycroft has joined the department (Fall 2022).
  • Tom Edwards (former Ph.D. student of Leslie Smith and Sam Stechmann) will begin a new job at Google in Fall 2021.
  • Quanling Deng (former postdoc of Sam Stechmann and Nan Chen) has accepted a faculty position at the Australian National University to begin in January 2022.
  • Ying Li (former Ph.D. student of Sam Stechmann) will begin as a Data Scientist at Wells Fargo Bank in November 2021.
  • Leonardo Andrés Zepeda-Núñez has joined the department (Fall 2019).
  • Amy Cochran has joined the department (Fall 2019).
  • Jason Torchinsky (Ph.D. student of Sam Stechmann) has been awarded a Computational Science Graduate Fellowship from the Department of Energy (Spring 2019).
  • Nan Chen has joined the department (Fall 2018).
  • Will Mitchell (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019.
  • Lei Li (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018.
  • Gheorghe Craciun was featured in SIAM News on his recent proof of the Global Attractor Conjecture. link to paper






Workshops

Seminars

Organized by Applied Math


Other seminar series of interest


Tenured and tenure-track faculty

David Anderson: (Duke, 2005) probability and stochastic processes, computational methods for stochastic processes, biochemical networks, mathematical/systems biology.

Sigurd Angenent: (Leiden, 1986) partial differential equations.

Nan Chen: (Courant, 2016) uncertainty quantification, data assimilation, geophysics, stochastic modeling, and data science.

Amy Cochran: (Cornell, 2013) population health science, computational psychiatry.

Gheorghe Craciun: (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.

Alberto Del Pia: (Padova, 2009) mathematical optimization, discrete optimization, data science, theoretical computer science

Maurice Fabien: (Rice, 2019) high-performance scientific computing, numerical analysis

Shamgar Gurevich: (Tel Aviv, 2006) Representation theory of groups, algebraic geometry, applications to signal Processing, structural biology, mathematical physics.

Qin Li: (Wisconsin, 2012) applied & computational mathematics.

Hanbaek Lyu (Ohio State, 2018) discrete probability, dynamical systems, networks, optimization, machine learning

Gloria Mari-Beffa: (Minnesota, 1991) differential geometry, applied math.

Laurel Ohm (University of Minnesota, 2020) Analysis of PDE arising in biofluid mechanics.

Sébastien Roch: (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.

Chris Rycroft: (MIT, 2007) mathematical modeling, computational mathematics

Leslie Smith: (MIT, 1988) applied mathematics. Waves and coherent structures in oceanic and atmospheric flows.

Saverio Spagnolie: (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.

Sam Stechmann: (Courant, 2008) applied and computational math, climate and atmospheric science, scientific machine learning.

Jean-Luc Thiffeault: (Texas, 1998) fluid dynamics, mixing, biological swimming and mixing, topological dynamics.

Fabian Waleffe: (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.

Leonardo Andrés Zepeda-Núñez: (MIT, 2015) machine learning, numerical analysis, wave propagation, inverse problems.




Postdoctoral fellows and researchers

Thomas Chandler: (Oxford, 2021) soft matter, liquid crystals, complex fluids

Anakewit (Tete) Boonkasame: (UW Madison, 2012)

Marko Budišić: (UC Santa Barbara, 2012) dynamical systems

Yongyong Cai: (National University of Singapore, 2012)

Arthur Evans: (UCSD, 2011) soft matter, complex fluids

Matthew Johnston: (University of Waterloo, 2011) dynamical systems



Current graduate students

List of current graduate students (updated spring 2024).
Student Advisor (1) Advisor (2) Program Start Year Research Area
Zinan Wang Sigurd Angenent
Yinling Zhang Nan Chen 2021
Marios Andreou Nan Chen 2022
Zhongrui Wang Nan Chen 2023
Byran Xu Nan Chen 2023
Haley Colgate Amy Cochran 2020
Enkhzaya "Eza" Enkhtaivan Amy Cochran
Jiaxin Jin Gheorghe Craciun Chanwoo Kim
Jenny Yeon Gheorghe Craciun
Polly Yu Gheorghe Craciun
Hongxu Chen Chanwoo Kim Qin Li
Shi Chen Qin Li
Zhiyan Ding Qin Li
Anjali Nair Qin Li 2018
Jenny Wei Qin Li Yingyu Liang
Borong Zhang Qin Li Leonardo Zepeda-Núñez
Parvathi Madathil Kooloth Leslie Smith
Varun Gudibanda Leslie Smith 2020
Carsen Grote Saverio Spagnolie 2023 Fluid-structure interactions
Jingyi Li Saverio Spagnolie Laurel Ohm 2022 Active suspensions in complex fluids
Hanzhang Mao Saverio Spagnolie 2023 Free boundary problems in nonlinear elasticity
Tianhong Huang Samuel Stechmann
Jason Torchinsky Samuel Stechmann 2018 Data assimilation, multi-model communication, atmospheric modelling
Carrie Hongfei Chen Jean-Luc Thiffeault
Yu Feng Jean-Luc Thiffeault
Bryan Oakley Jean-Luc Thiffeault



Graduate course offerings

Fall 2023

  • Math 632: Introduction to Stochastic Processes (David Keating, Sebastien Roch)
  • Math 703: Methods of Applied Mathematics I (Leslie Smith)
  • Math 714: Methods of Computational Math I (Sam Stechmann)

Spring 2024

  • Math 632: Introduction to Stochastic Processes (David Clancy)
  • Math 704: Methods of Applied Mathematics II (Jean-Luc Thiffeault)
  • Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)
  • Math 715: Methods of Computational Math II (Maurice Fabien)
  • Math 717: Stochastic Computational Methods (Nan Chen)
  • Math 801: Topics in Applied Mathematics








Locations of visitors to this page (Clustermaps)

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