Applied and Computational Mathematics: Difference between revisions
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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 | 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 | == Current graduate students == | ||
{| 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/ Zinan Wang | | [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/ Jeffrey Covington | | [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/ Xiao Hou | | [https://math.wisc.edu/graduate-students/ Enkhzaya "Eza" Enkhtaivan] || Amy Cochran || || || | ||
|- | |||
[https://sites.google.com/wisc.edu/yingdali Yingda Li | | [https://sites.google.com/view/jiaxinjin/ Jiaxin Jin] || Gheorghe Craciun || Chanwoo Kim || || | ||
|- | |||
[https://math.wisc.edu/graduate-students/ Yuchen Li | | [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/ Haley Colgate | | [https://math.wisc.edu/graduate-students/ Hongxu Chen] || Chanwoo Kim || Qin Li || || | ||
|- | |||
[https://math.wisc.edu/graduate-students/ Enkhzaya "Eza" Enkhtaivan | | [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://sites.google.com/view/jiaxinjin/ Jiaxin Jin | |- | ||
| [https://math.wisc.edu/graduate-students/ Jenny Wei] || Qin Li || Yingyu Liang || || | |||
[https://sites.google.com/site/mathjennyy/ Jenny Yeon | |- | ||
| [https://borongzhang.com/ Borong Zhang] || Qin Li || Leonardo Zepeda-Núñez || || | |||
[https://sites.google.com/view/pollyyu Polly Yu | |- | ||
| [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/ Hongxu Chen | |- | ||
| [https://math.wisc.edu/graduate-students/ Carrie Hongfei Chen] || Jean-Luc Thiffeault || || || | |||
[https://math.wisc.edu/graduate-students/ Shi Chen | |- | ||
| [https://sites.google.com/wisc.edu/yufeng-webpage/home Yu Feng] || Jean-Luc Thiffeault || || || | |||
[https://people.math.wisc.edu/~zding49/ Zhiyan Ding | |- | ||
| [https://www.math.wisc.edu/~boakley/ Bryan Oakley] || Jean-Luc Thiffeault || || || | |||
|} | |||
[https://sites.google.com/wisc.edu/nair-anjali/home Anjali Nair | |||
[https://math.wisc.edu/graduate-students/ Jenny Wei | |||
[https://math.wisc.edu/graduate-students/ Parvathi Madathil Kooloth | |||
[https://math.wisc.edu/graduate-students/ Tianhong Huang | |||
[https://jasonltorchinsky.github.io/ Jason Torchinsky | |||
[https://math.wisc.edu/graduate-students/ Carrie Hongfei Chen | |||
[https://sites.google.com/wisc.edu/yufeng-webpage/home Yu Feng | |||
[https://www.math.wisc.edu/~boakley/ Bryan Oakley | |||
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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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[http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps]) | [http://www3.clustrmaps.com/stats/maps-no_clusters/www.math.wisc.edu-wiki-index.php-Applied-thumb.jpg Locations of visitors to this page] ([http://www3.clustrmaps.com/user/195f39ef Clustermaps]) |
Revision as of 14:57, 4 August 2022
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.
- Jean-Luc Thiffeault was featured in Washington Post's Wonkblog on his paper exploring the mathematical history of taffy pullers. link to paper
- Gheorghe Craciun was featured in SIAM News on his recent proof of the Global Attractor Conjecture. link to paper
Workshops
- Mathematical Fluids, Materials & Biology Ann Arbor, MI, June 12-15, 2019
- RTG Workshop: Turbulent and Coherent Convection 224 Ingraham Hall, May 27-29, 2015
Seminars
Organized by Applied Math
- Applied and Computational Math Seminar (Fridays at 2:25pm, VV 901)
- Graduate Applied Math Seminar (Mondays at 3:40pm, VV 901)
- Physical Applied Math Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)
- Networks Seminar (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)
Other seminar series of interest
- Mathematics Colloquium (Fridays at 4:00pm, VV B239)
- Probability Seminar (Thursdays at 2:25pm, VV 901)
- SILO Seminar (Wednesdays at 12:30pm, 3rd floor WID)
- Chaos and Complex Systems Seminar (Tuesdays at 12:05pm, 4274 Chamberlin Hall)
- Physics Department Colloquium (Fridays at 3:30 pm; 2241 Chamberlin Hall)
- AOS Colloquium (Mondays at 3:30 pm; 811 AOSS building)
- Astronomy Colloquium (Thursdays at 3:45 pm; 4421 Sterling Hall)
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
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)