Applied and Computational Mathematics

Jet striking an inclined plane.

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, and topology.

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.

• 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

• 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.

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.

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

Students of Sigurd Angenent

Zinan Wang: Student of Sigurd Angenent.

Students of Nan Chen

Jeffrey Covington: Student of Nan Chen.

Varun Gudibanda: Student of Nan Chen.

Xiao Hou: Student of Nan Chen and Qin Li.

Yingda Li: Student of Nan Chen.

Yuchen Li: Student of Nan Chen.

Students of Amy Cochran

Haley Colgate: Student of Amy Cochran.

Enkhzaya "Eza" Enkhtaivan: Student of Amy Cochran.

Students of Gheorghe Craciun

Jiaxin Jin: Student of Gheorghe Craciun and Chanwoo Kim.

Jenny Yeon: Student of Gheorghe Craciun.

Polly Yu: Student of Gheorghe Craciun.

Students of Qin Li

Hongxu Chen: Student of Qin Li and Chanwoo Kim.

Shi Chen: Student of Qin Li.

Zhiyan Ding: Student of Qin Li.

Xiao Hou: Student of Nan Chen and Qin Li.

Anjali Nair: Student of Qin Li.

Jenny Wei: Student of Qin Li and Yingyu Liang (of the Computer Science department).

Students of Leslie Smith

Parvathi Madathil Kooloth: Student of Leslie Smith.

Students of Samuel Stechmann

Tianhong Huang: Student of Samuel Stechmann.

Jason Torchinsky: Student of Samuel Stechmann.

Students of Jean-Luc Thiffeault

Carrie Hongfei Chen: Student of Jean-Luc Thiffeault.

Yu Feng: Student of Jean-Luc Thiffeault.

Bryan Oakley: Student of 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 833: Topics in the Theory of Probability (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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