Applied and Computational Mathematics

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Jet striking an inclined plane.
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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.

  • 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



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.

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 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

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

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

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 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
Sanchita Chakraborty Nan Chen 2022
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
Jingyi Li Saverio Spagnolie 2022
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 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 715: Methods of Computational Math II (Maurice Fabien)
  • Math 801: Topics in Applied Mathematics: Computational Fluid Dynamics (Saverio Spagnolie)

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