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

  • 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.
  • Sarah Tumasz (student of Jean-Luc Thiffeault) was awarded the 2012/13 John Nohel Prize in Applied Mathematics for her thesis, "Topological stirring."
  • Qiang Deng (student of Leslie Smith) graduated in Summer 2012 and has a postdoc at Courant Abu-Dhabi starting Sept 2012.
  • Hesam Dashti (student of Amir Assadi) received an MSc in Computational Mathematics in May 2012 and continues his PhD in Biophysics at UW Madison.
  • Anakewit (Tete) Boonkasame (Ph.D. student of Paul Milewski) graduated in Summer 2012, and is now a postdoc with Leslie Smith and Fabian Waleffe.
  • Zhan Wang (Ph.D. student of Paul Milewski) graduated in Summer 2012, and is now a postdoc with Jean-Marc Vanden-Broeck at UCL.
  • Peng Qi (Ph.D. student of Shi Jin) graduated in Summer 2012 and took a Quantitative Associate position at Wells Fargo Bank in California.
  • Li (Aug) Wang (Ph.D. student of Shi Jin) graduated in Summer 2012 and is now an postdoctoral Assistant Professor at University of Michigan-Ann Arbor.
  • Research Projects in High Performance Computation and BIGDATA resources are available for graduate students taking courses or participating in Persepolis research projects.
  • Funding opportunity for a postdoctoral researcher in the area of stochastic and statistical modeling of climate (contact Sam Stechmann, supported by ONR, apply at mathjobs.org).
  • 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, 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, 2013)

Yongyong Cai: (National University of Singapore, 2012)

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

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



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 Shi Jin.

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 715: Methods of Computational Math II (Saverio Spagnolie)






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