Applied and Computational Mathematics

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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

  • Funding opportunity for a graduate student to study dynamics of large-scale molecular systems, such as cell membranes (contact Julie Mitchell, supported by NSF).
  • Saverio Spagnolie has accepted a position as a tenure-track assistant professor in our department. Saverio will join us this Fall. Welcome to the group, Saverio!
  • 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 nonlinear critical layers and exact coherent states in turbulent shear flows (contact Fabian Waleffe, supported by NSF).


Seminars

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, 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.

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.

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.

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

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 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)

Spring 2013

  • Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean Luc Thiffeault)




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