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

• Bokai Yan (PhD student with Shi Jin) graduated in Fall 2011 and is now a postdoc at UCLA.

• Funding opportunity for a graduate student to study persistence and multistability in biological networks (contact Gheorghe Craciun, supported by NIH).

• Funding opportunity for a graduate student to study mathematical analysis of mass spectrometry data and proteomics (contact Gheorghe Craciun, supported by NSF).

• Li Wang (PhD student with Leslie Smith) graduated and has a job at Epic.

• Funding opportunity for a graduate student to study waves in geophysical flows and tropical cyclogenesis (contact Leslie Smith, supported by NSF).

• Funding opportunity for a graduate student to study mixing by microorganisms (contact Jean-Luc Thiffeault, supported by NSF).

• Funding opportunity for a graduate student to study nonlinear critical layers and exact coherent states in turbulent shear flows (contact Fabian Waleffe, supported by NSF).

Seminars

organized by Applied Math

• Applied and Computational Math Seminar (Fridays at 2:25pm, VV 901)
• GPS Applied Math Seminar (Mondays at 2:25pm, B211 VV)
• 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)
• Chaos and Complex Systems Seminar (Tuesdays at 12:05pm, 4274 Chamberlin Hall)
• RRC Lecture (Fridays at 12:05pm, 1800 Engineering 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, 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.

Paul Milewski: (MIT, 1993) applied mathematics, fluid dynamics.

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

James Rossmanith: (Washington, 2002) computational mathematics, hyperbolic conservation laws, plasma physics.

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

Gerardo Hernandez-Duenas: (Michigan, 2011)

Current Graduate Students

Adel Ardalan: Student of Amir Assadi.

Claire Blackman: Student of Jean-Luc Thiffeault.

Anekewit (Tete) Boonkasame: Student of Paul Milewski.

Yongtao Cheng: Student of James Rossmanith.

Hesam Dashti: Student of Amir Assadi.

Qiang Deng: Student of Leslie Smith.

Alireza Fotuhi: Student of Amir Assadi.

Leland Jefferis: Student of Shi Jin.

E. Alec Johnson: Student of James Rossmanith.

Mohammad Khabbazian: Student of Amir Assadi.

Masanori (Maso) Koyama: Student of David Anderson.

Lei Li: Student of Shi Jin.

Qin Li: Student of Shi Jin.

Peter Mueller: Student of Jean-Luc Thiffeault.

Peng Qi: Student of Shi Jin.

Arash Sangari: Student of Amir Assadi.

David Seal: Student of James Rossmanith.

Ebru Selin Selen: Student of Amir Assadi.

Sarah Tumasz: Student of Jean-Luc Thiffeault.

Li Wang: Student of Leslie Smith.

Li (Aug) Wang: Student of Shi Jin.

Zhan Wang: Student of Paul Milewski.

Qian You: Student of Sigurd Angenent.

Zhennan Zhou: Student of Shi Jin.

Graduate course offerings

Spring 2012

• Math 714: Methods of Computational Math I (S. Stechmann)

Fall 2012

• Math 606: Mathematical Methods for Structural Biology (Julie Mitchell)
• Math 632: Introduction to Stochastic Processes (David Anderson)
• Math 703: Methods of Applied Mathematics 1 (Leslie Smith)
• Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)
• Math 714: Methods of Computational Math I (Shi Jin)
• Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean Luc Thiffeault)
• Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)

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