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 Mathematics at UW-Madison

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.

News and opportunities

  • Leonardo Andrés Zepeda-Núñez has joined the department (Fall 2019).
  • Amy Cochran has joined the department (Fall 2019).
  • Jason Turner (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
  • Scott Hottovy (former postdoc of Sam Stechmann) has accepted a faculty position at the US Naval Academy to begin in Fall 2016.
  • Reed Ogrosky (former postdoc of Sam Stechmann) has accepted a faculty position at Virginia Commonwealth University to begin in Fall 2016.
  • Zhennan Zhou (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014.
  • 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.
  • 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.
  • 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.



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.

Amir Assadi: (Princeton, 1978) computational & mathematical models in molecular biology & neuroscience.

Nigel Boston: (Harvard, 1987) algebraic number theory, group theory, arithmetic geometry, computational algebra, coding theory, cryptography, and other applications of algebra to electrical engineering.

Nan Chen: (Courant, 2016) contemporary applied mathematics, geophysics, applied stochastics, algorithms 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

Adel Ardalan: Student of Amir Assadi.

Hamisha Ardalani: Student of Amir Assadi.

James Brunner: Student of Gheorghe Craciun.

Alireza Fotuhi: Student of Amir Assadi.

Jing Hao: Student of Jean-Luc Thiffeault.

Mohammad Khabbazian: Student of Amir Assadi.

Masanori (Maso) Koyama: Student of David Anderson.

Liu Liu: Student of Shi Jin

Wilson Lough: Student of Saverio Spagnolie.

Hasti Mirkia: Student of Amir Assadi.

Thomas Morrell: Student of Saverio Spagnolie and Jean-Luc Thiffeault.

Ting-Ting Nan: Student of Nigel Boston.

Arash Sangari: Student of Amir Assadi.

Ebru Selin Selen: Student of Amir Assadi.

Jinsu Kim: Student of David Anderson.

Huanyu Wen: Student of Jean-Luc Thiffeault.

Elizabeth Skubak Wolf: Student of David Anderson.

Qian You: Student of Sigurd Angenent.

Graduate course offerings

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)

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)

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