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= '''Applied and Computational Mathematics at UW-Madison''' =
= '''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, and topology.
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 [https://math.wisc.edu/graduate/ Mathematics Graduate Program].
To pursue graduate studies in Applied and Computational Mathematics, see the [https://math.wisc.edu/graduate/ Mathematics Graduate Program].
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Full a full list of recent events within the department, see the [https://math.wisc.edu/ Mathematics Department Website].
Full a full list of recent events within the department, see the [https://math.wisc.edu/ Mathematics Department Website].
* '''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 -->
* '''Leonardo Andrés Zepeda-Núñez''' has joined the department (Fall 2019). <!-- Updated by Saverio 2019-07-19 -->
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* '''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 -->
* '''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 -->
<!-- * '''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 -->
<!-- * '''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  -->
<!-- * '''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  -->
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<!-- * '''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 -->
<!-- * '''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 -->  
<!-- * '''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 ==
== Workshops ==
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[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda-Núñez:] (MIT, 2015) machine learning, numerical analysis, wave propagation, inverse problems.
[http://math.mit.edu/~lzepeda/ Leonardo Andrés Zepeda-Núñez:] (MIT, 2015) machine learning, numerical analysis, wave propagation, inverse problems.
[https://hanbaeklyu.com/ Hanbaek Lyu] (Ohio State, 2018) discrete probability, dynamical systems, networks, optimization, machine learning




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[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions


[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]
[https://people.math.wisc.edu/~tgchandler/ Thomas Chandler:] (Oxford, 2021) soft matter, complex fluids
(University of Waterloo, 2011) dynamical systems
 
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:] (University of Waterloo, 2011) dynamical systems


<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. -->
<!-- [http://www.math.wisc.edu/~dwei/ Dongming Wei:] (Maryland, 2007) nonlinear partial differential equations, applied analysis, and numerical computation. -->
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<br>
<br>


== Current Graduate Students ==
== Current graduate students ==


 
{| class="wikitable sortable" style="margin-left: auto; margin-right: auto; border: none;"
=== Students of David Anderson ===
|+ List of current graduate students (updated summer of 2021).
 
|-
 
! Student !! Advisor (1) !! Advisor (2) !! Program Start Year !! Research Area
 
|-
=== Students of Sigurd Angenent ===
| [https://math.wisc.edu/graduate-students/ Zinan Wang]               || Sigurd Angenent     ||              ||      || 
 
|-
[https://math.wisc.edu/graduate-students/ Zinan Wang:] Student of Sigurd Angenent.
| [https://math.wisc.edu/graduate-students/ Jeffrey Covington]         || Nan Chen           ||              || 2018 ||
 
|-
 
| [https://math.wisc.edu/graduate-students/ Xiao Hou]                 || Nan Chen           || Qin Li       ||      ||
=== Students of Nan Chen ===
|-
 
| [https://sites.google.com/wisc.edu/yingdali Yingda Li]               || Nan Chen           ||              ||      ||
 
|-
[https://math.wisc.edu/graduate-students/ Jeffrey Covington:] Student of Nan Chen.
| [https://math.wisc.edu/graduate-students/ Yuchen Li]                 || Nan Chen           ||              ||      ||
 
|-
[https://math.wisc.edu/graduate-students/ Varun Gudibanda:] Student of Nan Chen.
| [https://math.wisc.edu/graduate-students/ Haley Colgate]             || Amy Cochran         ||              || 2020 ||
 
|-
[https://math.wisc.edu/graduate-students/ Xiao Hou:] Student of Nan Chen and Qin Li.
| [https://math.wisc.edu/graduate-students/ Enkhzaya "Eza" Enkhtaivan] || Amy Cochran         ||              ||      ||
 
|-
[https://sites.google.com/wisc.edu/yingdali Yingda Li:] Student of Nan Chen.
| [https://sites.google.com/view/jiaxinjin/ Jiaxin Jin]               || Gheorghe Craciun   || Chanwoo Kim ||      ||
 
|-
[https://math.wisc.edu/graduate-students/ Yuchen Li:] Student of Nan Chen.
| [https://sites.google.com/site/mathjennyy/ Jenny Yeon]               || Gheorghe Craciun   ||              ||      ||
 
|-
=== Students of Amy Cochran ===
| [https://sites.google.com/view/pollyyu Polly Yu]                     || Gheorghe Craciun   ||              ||      ||
 
|-
[https://math.wisc.edu/graduate-students/ Haley Colgate:] Student of Amy Cochran.
| [https://math.wisc.edu/graduate-students/ Hongxu Chen]               || Chanwoo Kim        || Qin Li       ||      ||
 
|-
[https://math.wisc.edu/graduate-students/ Enkhzaya "Eza" Enkhtaivan:] Student of Amy Cochran.
| [https://math.wisc.edu/graduate-students/ Shi Chen]                 || Qin Li             ||              ||      ||
 
|-
 
| [https://people.math.wisc.edu/~zding49/ Zhiyan Ding]                 || Qin Li             ||              ||      ||
=== Students of Gheorghe Craciun ===
|-
 
| [https://sites.google.com/wisc.edu/nair-anjali/home Anjali Nair]     || Qin Li             ||              || 2018 ||
[https://sites.google.com/view/jiaxinjin/ Jiaxin Jin:] Student of Gheorghe Craciun and Chanwoo Kim.
|-
 
| [https://math.wisc.edu/graduate-students/ Jenny Wei]                 || Qin Li             || Yingyu Liang ||      ||
[https://sites.google.com/site/mathjennyy/ Jenny Yeon:] Student of Gheorghe Craciun.
|-
 
| [https://borongzhang.com/ Borong Zhang]              || Qin Li              || Leonardo Zepeda-Núñez            ||      ||
[https://sites.google.com/view/pollyyu Polly Yu:] Student of Gheorghe Craciun.
|-
 
| [https://math.wisc.edu/graduate-students/ Parvathi Madathil Kooloth] || Leslie Smith       ||              ||      ||
 
|-
=== Students of Shamgar Gurevich ===
| [https://math.wisc.edu/graduate-students/ Varun Gudibanda]          || Leslie Smith        ||              || 2020 ||
 
|-
 
| [https://www.physics.wisc.edu/directory/lough-wilson-bennett/ Wilson Lough]              || Saverio Spagnolie   ||              || 2018 ||
 
|-
=== Students of Qin Li ===
| [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/ Hongxu Chen:] Student of Qin Li and Chanwoo Kim.
|-
 
| [https://math.wisc.edu/graduate-students/ Carrie Hongfei Chen]       || Jean-Luc Thiffeault ||              ||      ||
[https://math.wisc.edu/graduate-students/ Shi Chen:] Student of Qin Li.
|-
 
| [https://sites.google.com/wisc.edu/yufeng-webpage/home Yu Feng]     || Jean-Luc Thiffeault ||              ||      ||
[https://people.math.wisc.edu/~zding49/ Zhiyan Ding:] Student of Qin Li.
|-
 
| [https://www.math.wisc.edu/~boakley/ Bryan Oakley]                   || Jean-Luc Thiffeault ||              ||      ||
[https://math.wisc.edu/graduate-students/ Xiao Hou:] Student of Nan Chen and Qin Li.
|}
 
[https://sites.google.com/wisc.edu/nair-anjali/home Anjali Nair:] Student of Qin Li.
 
[https://math.wisc.edu/graduate-students/ Jenny Wei:] Student of Qin Li and Yingyu Liang (of the Computer Science department).
 
 
=== Students of Gloria Mari-Beffa ===
 
 
=== Students of Sébastian Roch ===
 
 
=== Students of Leslie Smith ===
 
[https://math.wisc.edu/graduate-students/ Parvathi Madathil Kooloth:] Student of Leslie Smith.
 
 
 
=== Students of Saverio Spagnolie ===
 
 
 
=== Students of Samuel Stechmann ===
 
[https://math.wisc.edu/graduate-students/ Tianhong Huang:] Student of Samuel Stechmann.
 
[https://jasonltorchinsky.github.io/ Jason Torchinsky:] Student of Samuel Stechmann.
 
 
=== Students of Jean-Luc Thiffeault ===
 
[https://math.wisc.edu/graduate-students/ Carrie Hongfei Chen:] Student of Jean-Luc Thiffeault.
 
[https://sites.google.com/wisc.edu/yufeng-webpage/home Yu Feng:] Student of Jean-Luc Thiffeault.
 
[https://www.math.wisc.edu/~boakley/ Bryan Oakley:] Student of Jean-Luc Thiffeault.
 
 
=== Students of Fabian Waleffe ===
 
 
 
=== Students of Leonardo Andrés Zepeda-Núñez ===




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* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)
* Math 703: Methods of Applied Mathematics I (Gheorghe Craciun)
* Math 714: Methods of Computational Math I (Leonardo Andrés Zepeda-Núñez)
* Math 714: Methods of Computational Math I (Leonardo Andrés Zepeda-Núñez)
* Math 833: Topics in the Theory of Probability (Nan Chen)
* Math 821: Advanced Topics in Real Analysis [Fluid Dynamics] (Mihaela Ifrim)
 
* Math 833: Topics in the Theory of Probability [Stochastic Computational Methods] (Nan Chen)


=== Spring 2021 ===
=== Spring 2021 ===
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----
----
Return to the [http://www.math.wisc.edu/wiki/index.php Mathematics Department Wiki Page]
 


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Revision as of 14:57, 4 August 2022

Jet striking an inclined plane.
HMSS2013 highlight1.png
Scattered rain clouds versus an organized storm (a squall line).

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.

  • 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.

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.

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

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

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 math, stochastic modeling, fluid dynamics, atmospheric science, computational mathematics.

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.

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



Postdoctoral fellows and researchers

Majid Arabgol: HPC & Visualization Research Scholar

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

Prerna Gera: (Buffalo, 2018) fluid-structure interactions

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

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



Current graduate students

List of current graduate students (updated summer of 2021).
Student Advisor (1) Advisor (2) Program Start Year Research Area
Zinan Wang Sigurd Angenent
Jeffrey Covington Nan Chen 2018
Xiao Hou Nan Chen Qin Li
Yingda Li Nan Chen
Yuchen Li Nan Chen
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
Wilson Lough Saverio Spagnolie 2018
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 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)

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)








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