Applied and Computational Mathematics

jet striking an inclined plane

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

• 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.

• 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.

• Shi Jin was elected to SIAM Fellow. Last year he was part of the inaugural class of AMS Fellows.

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)
• Joint Math/Atmospheric & Oceanic Sciences Informal Seminar (Thursdays at 3:45 pm, AOS 811)

other seminar series of interest

• Mathematics Colloquium (Fridays at 4:00pm, VV B239)
• SILO Seminar (Wednesdays at 12:30pm, 3rd floor WID)
• WID-DOW Seminar (Mondays at 4:00pm, 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)

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.

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.

Shi Jin: (Arizona, 1991) applied & computational mathematics.

Alex (Sasha) Kiselev: (CalTech, 1997) partial differential equations, Fourier analysis and applications in fluid mechanics, combustion, mathematical biology and Schrödinger operators.

Gloria Mari-Beffa: (Minnesota, 1991) differential geometry, applied math.

Julie Mitchell: (Berkeley, 1998) computational mathematics, structural biology.

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, computational mathematics.

Sam Stechmann: (Courant, 2008) 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.

Andrej Zlatos: (Caltech, 2003) partial differential equations, combustion, fluid dynamics, Schrödinger operators, orthogonal polynomials

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)

Shengqian "Chessy" Chen: (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science

Gerardo Hernandez-Duenas: (Michigan, 2011) geophysical fluid dynamics

Scott Hottovy: (Arizona, 2013) probability, stochastic processes, atmospheric science

Matthew Johnston: (University of Waterloo, 2011) dynamical systems

Reed Ogrosky: (UNC Chapel Hill, 2013) nonlinear waves, fluid dynamics, atmospheric science

Current Graduate Students

Adel Ardalan: Student of Amir Assadi.

Hamisha Ardalani: Student of Amir Assadi.

Claire Blackman: Student of Jean-Luc Thiffeault.

Bryan Crompton: Student of Saverio Spagnolie.

Alireza Fotuhi: Student of Amir Assadi.

Leland Jefferis: Student of Shi Jin.

Mohammad Khabbazian: Student of Amir Assadi.

Masanori (Maso) Koyama: Student of David Anderson.

Lei Li: Student of Saverio Spagnolie.

Hasti Mirkia: Student of Amir Assadi.

Will Mitchell: Student of Saverio Spagnolie.

Peter Mueller: Student of Jean-Luc Thiffeault.

Arash Sangari: Student of Amir Assadi.

Ebru Selin Selen: Student of Amir Assadi.

Yun Sun: Student of Shi Jin.

Elizabeth Skubak Wolf: Student of David Anderson.

Qian You: Student of Sigurd Angenent.

Zhennan Zhou: Student of Shi Jin.

Graduate course offerings

Fall 2013

• Math 605: Stochastic Methods for Biology (David Anderson)
• Math 632: Introduction to Stochastic Processes (Gregory Shinault)
• Math 703: Methods of Applied Mathematics 1 (Jean-Luc Thiffeault)
• Math 714: Methods of Computational Math I (Shi Jin)
• Math 826: Advanced Topics in Functional Analysis and Differential Equations (Alexander Kiselev)

Spring 2014

• Math 609: Mathematical Methods for Systems Biology (Gheorghe Craciun)
• Math 632: Introduction to Stochastic Processes (Gregory Shinault)
• Math 704: Methods of Applied Mathematics II (Sam Stechmann)
• Math 715: Methods of Computational Math II (Jean-Luc Thiffeault)
• Math 801: Topics in Applied Mathematics: Biological Continuum Mechanics (Saverio Spagnolie)

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