# Applied and Computational Mathematics

**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.

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

**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).

**David Seal**(Ph.D. student with James Rossmanith) graduated in 2012 and is now a post-doc at Michigan State University.

**E. Alec Johnson**(Ph.D. student with James Rossmanith) graduated and is now a post-doc at the Centre for Plasma Astrophysics (KU-Leuven).

- Funding opportunity for a
**graduate student**to study dynamics of large-scale molecular systems, such as cell membranes (contact Julie Mitchell, supported by NSF).

- Funding opportunity for a
**graduate student**to study mathematics of fluids - regularity and mixing, more for information check http://www.math.wisc.edu/~kiselev/graduate.html (contact Sasha Kiselev, supported by NSF).

- Funding opportunity for a
**graduate student**to study chemotaxis and applications in mathematical biology, more for information check http://www.math.wisc.edu/~kiselev/graduate.html (contact Sasha Kiselev, 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*

- Applied and Computational Math Seminar (Fridays at 2:25pm, VV 901)
- GPS Applied Math Seminar (Fridays at 9:00am, 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)
- 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.

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 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 (Jean-Luc Thiffeault)
- Math 705: Mathematical Fluid Dynamics (Saverio Spagnolie)
- Math 714: Methods of Computational Math I (Shi Jin)
- Math 833: Topics in Probability - Stochastic Processes in Evolution and Genetics (Sebastien Roch)
- Math 842: Topics in Applied Algebra for EE/Math/CS students (Shamgar Gurevich)

### Spring 2013

- Math 704: Methods of Applied Mathematics 2 (Sam Stechmann)
- Math 715: Methods of Computational Math II (Saverio Spagnolie)
- Math 801: Topics in Applied Mathematics -- Mathematical Aspects of Mixing (Jean-Luc Thiffeault)

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