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(Applied and Computational Mathematics at UW-Madison)
 
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__NOTOC__
 
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|jet striking an inclined plane]]
 
  
__NOTOC__
+
[[Image:jet.jpg|link=http://www.math.wisc.edu/~jeanluc|frame|Jet striking an inclined plane.]]
 +
 
 
[[Image:HMSS2013_highlight1.png|link=http://dx.doi.org/10.1017/jfm.2012.597|frame]]
 
[[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)]]  <!-- Added by stechmann 2013-02-03 -->
+
[[Image:HMSS2013_highlight2.png|link=http://www.math.wisc.edu/~stechmann/research/|frame|Scattered rain clouds versus an organized storm (a squall line).]]  <!-- Added by stechmann 2013-02-03 -->
 +
 
 +
= '''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].
  
<br>
+
__TOC__
  
 
== News and opportunities ==
 
== News and opportunities ==
  
* '''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 -->
+
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 -->
  
* '''Gheorghe Craciun''' has received a [http://grad.wisc.edu/vilaswinners2013 Vilas Associate Award]!  <!-- Added by jeanluc 2014-02-19 -->
+
* '''Amy Cochran''' has joined the department (Fall 2019). <!-- Updated by saverio 2019-07-19 -->
  
* '''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 -->
+
* '''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 -->
  
* '''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 -->
+
* '''Nan Chen''' has joined the department (Fall 2018). <!-- Updated by saverio 2019-07-19 -->
  
* '''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 -->
+
* '''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 -->
  
* '''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 -->
+
* '''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 -->
  
* '''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 -->
+
* '''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 -->
  
* '''Qin Li''' (student of Shi Jin) graduated in Summer 2013. She was awarded an ''Excellence in Research'' award by the math department and has accepted a von Karman Instructor position at Caltech. <!-- Added by jeanluc 2013-06-11 -->
+
* '''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 -->
  
* '''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 -->
+
<!-- * '''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 -->
  
<br>
+
<!-- * '''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 ==
 
== Workshops ==
  
* [http://www.math.wisc.edu/apam/meetings/rtgseminars/turbulence RTG Workshop: Turbulent and Coherent Convection] 224 Ingraham Hall, May 27-29, 2015
+
* [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 ==
 
== Seminars ==
  
''organized by Applied Math''
+
''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/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] (Mondays at 3:40pm, VV 901)
+
* [http://www.math.wisc.edu/wiki/index.php/Applied/GPS Graduate Applied Math Seminar] (Mondays at 3:40pm, VV 901)
 
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)
 
* [http://www.math.wisc.edu/wiki/index.php/Applied/Physical_Applied_Math Physical Applied Math] Group Meeting (Spagnolie/Thiffeault) (Thursdays 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)
 
* [http://www.math.wisc.edu/wiki/index.php/Networks_Seminar Networks Seminar] (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)
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''other seminar series of interest''
+
''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/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://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://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://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://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://www.physics.wisc.edu/twap/view.php?name=PDC Physics Department Colloquium] (Fridays at 3:30 pm; 2241 Chamberlin Hall)
* [http://www.aos.wisc.edu/calendar/colloquium.htm AOS Colloquium] (Mondays at 3:30 pm; 811 AOSS building)
+
* [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)
 
* [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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[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.
  
[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.  
+
[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.
 
[http://www.math.wisc.edu/~craciun/ Gheorghe Craciun:] (Ohio State, 2002) mathematical biology, biochemical networks, biological interaction networks.
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[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/~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 (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/~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/~mitchell/ Julie Mitchell:] (Berkeley, 1998) computational mathematics, structural biology.
 
  
 
[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/~roch/ S&eacute;bastien Roch:] (Berkeley, 2007) applied probability, statistics and theoretical computer science, with emphasis on biological applications.
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[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.
 
[http://www.math.wisc.edu/~spagnolie/ Saverio Spagnolie:] (Courant, 2008) fluid dynamics, biological locomotion, soft matter, computational mathematics.
  
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) fluid dynamics, atmospheric science, computational mathematics.
+
[http://www.math.wisc.edu/~stechmann/ Sam Stechmann:] (Courant, 2008) applied math, stochastic modeling, fluid dynamics, atmospheric science, computational mathematics.
  
 
[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.
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[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.
 
[http://www.math.wisc.edu/~waleffe/ Fabian Waleffe:] (MIT, 1989) applied and computational mathematics. Fluid dynamics, hydrodynamic instabilities. Turbulence and unstable coherent flows.
  
[http://www.math.wisc.edu/~zlatos/ Andrej Zlatos:] (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials
+
[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>
 
<br>
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[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)
 
[http://www.math.wisc.edu/~caiy Yongyong Cai:] (National University of Singapore, 2012)
  
[http://www.math.wisc.edu/~sqchen/ Shengqian "Chessy" Chen:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science
+
[https://artioevans.wordpress.com/ Arthur Evans:] (UCSD, 2011) soft matter, complex fluids
  
[http://www.math.wisc.edu/~hernande Gerardo  Hernandez-Duenas:] (Michigan, 2011) geophysical fluid dynamics
+
[https://www.math.wisc.edu/~pgera/ Prerna Gera:] (Buffalo, 2018) fluid-structure interactions
 
 
[http://www.math.wisc.edu/~shottovy/ Scott Hottovy:] (Arizona, 2013) probability, stochastic processes, atmospheric science
 
  
 
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]
 
[http://www.math.wisc.edu/~mjohnston3 Matthew Johnston:]
 
(University of Waterloo, 2011) dynamical systems
 
(University of Waterloo, 2011) dynamical systems
 
[http://www.math.wisc.edu/~ogrosky/ Reed Ogrosky:] (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science
 
  
 
<!-- [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 ==
 
 
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/23-adel-ardalan Adel Ardalan:] Student of Amir Assadi.
 
 
 
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/24-hamisha-ardalani Hamisha Ardalani:] Student of Amir Assadi.
 
 
 
[http://www.math.wisc.edu/~jdbrunner/index.html James Brunner:] Student of Gheorghe Craciun.
 
 
 
[http://www.math.wisc.edu/~crompton/ Bryan Crompton:] Student of Saverio Spagnolie.
 
 
 
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/26-alireza-fotuhi-siahpirani Alireza Fotuhi:] Student of Amir Assadi.
 
 
 
[http://www.math.wisc.edu/~jhao8/ Jing Hao:] Student of Jean-Luc Thiffeault.
 
 
 
[http://www.math.wisc.edu/~jefferis/ Leland Jefferis:] Student of Shi Jin.
 
 
 
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/27-mohammad-khabazian Mohammad Khabbazian:] Student of Amir Assadi.
 
 
 
[http://www.math.wisc.edu/~koyama/ Masanori (Maso) Koyama:] Student of David Anderson.
 
 
 
[http://www.math.wisc.edu/~leili/ Lei Li:] Student of Saverio Spagnolie.
 
 
 
Liu Liu: Student of Shi Jin
 
 
 
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/32-hasti-mirkia Hasti Mirkia:] Student of Amir Assadi.
 
 
 
[http://www.math.wisc.edu/~whmitchell/ Will Mitchell:] Student of Saverio Spagnolie.
 
 
 
[http://www.math.wisc.edu/~mueller/ Peter Mueller:] Student of Jean-Luc Thiffeault.
 
  
[http://www.math.wisc.edu/~nan/ Ting-Ting Nan:] Student of Nigel Boston.
+
{| class="wikitable sortable" style="margin-left: auto; margin-right: auto; border: none;"
 +
|+ List of current graduate students (updated summer of 2021).
 +
|-
 +
! Student !! Advisor (1) !! Advisor (2) !! Program Start Year !! Research Area
 +
|-
 +
| [https://math.wisc.edu/graduate-students/ Zinan Wang]                || 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      ||      ||
 +
|-
 +
| [https://sites.google.com/wisc.edu/yingdali Yingda Li]              || Nan Chen            ||              ||      ||
 +
|-
 +
| [https://math.wisc.edu/graduate-students/ Yuchen Li]                || Nan Chen            ||              ||      ||
 +
|-
 +
| [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://www.physics.wisc.edu/directory/lough-wilson-bennett/ Wilson Lough]              || Saverio Spagnolie  ||              || 2018 ||
 +
|-
 +
| [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 ||              ||      ||
 +
|}
  
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/28-arash-sangari Arash Sangari:] Student of Amir Assadi.
 
  
[http://vv811a.math.wisc.edu/persepolis/index.php/members/10-members/29-ebru-selin-selen Ebru Selin Selen:] Student of Amir Assadi.
 
 
Yun Sun: Student of David Anderson.
 
 
[http://www.math.wisc.edu/~jskim/ Jinsu Kim:] Student of David Anderson.
 
 
[http://www.math.wisc.edu/~wen/ Huanyu Wen:] Student of Jean-Luc Thiffeault.
 
 
[http://www.math.wisc.edu/~skubak/ Elizabeth Skubak Wolf:] Student of David Anderson.
 
 
Qian You: Student of Sigurd Angenent.
 
 
[http://www.math.wisc.edu/~zhou/ Zhennan Zhou:] Student of Shi Jin.
 
  
 
<!-- Past students: -->
 
<!-- 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/~hu/ Jingwei Hu:] Student of Shi Jin. -->
 
<!-- [http://www.math.wisc.edu/~yan/ Bokai Yan:] 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.-->
 
<!--Zhan Wang: Student of Paul Milewski.-->
 
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.-->
 
<!--Anekewit (Tete) Boonkasame: Student of Paul Milewski.-->
 
<!--Peng Qi: Student of Shi Jin. -->
 
<!--Peng Qi: Student of Shi Jin. -->
 
<!--Li (Aug) Wang: Student of Shi Jin. -->
 
<!--Li (Aug) Wang: Student of Shi Jin. -->
 +
<!-- Lei Li: Student of Saverio Spagnolie. -->
 
<!--Li Wang: Student of Leslie Smith. -->
 
<!--Li Wang: Student of Leslie Smith. -->
 
<!--David Seal: Student of James Rossmanith. -->
 
<!--David Seal: Student of James Rossmanith. -->
Line 194: Line 235:
  
 
== Graduate course offerings ==
 
== 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)
 +
 +
<!--=== [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] ===
 
=== [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2014] ===
Line 208: Line 297:
 
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)
 
* Math 704: Methods of Applied Mathematics II (Sam Stechmann)
 
* Math 715: Methods of Computational Math II (Saverio Spagnolie)
 
* Math 715: Methods of Computational Math II (Saverio Spagnolie)
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun)
+
* Math 801: Topics in Applied Mathematics: Nonlinear dynamics and applications (Gheorghe Craciun) -->
 
   
 
   
 
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===
 
<!-- === [http://www.math.wisc.edu/graduate/gcourses_fall Fall 2013] ===

Latest revision as of 13:44, 9 November 2021

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.



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

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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