Applied and Computational Mathematics

jet striking an inclined plane

scattered rain clouds versus an organized storm (a squall line)

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

• Leonardo Andrés Zepeda-Núñez has joined the department (Fall 2019).

• Amy Cochran has joined the department (Fall 2019).

• Nan Chen has joined the department (Fall 2018).

• Will Mitchell (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Macalester College to begin in Fall 2019.

• Lei Li (former Ph.D. student of Saverio Spagnolie) has accepted a faculty position at Shanghai Jiao Tong University to begin in Fall 2018.

• Jean-Luc Thiffeault was featured in Washington Post's Wonkblog on his paper exploring the mathematical history of taffy pullers. link to paper

• Gheorghe Craciun was featured in SIAM News on his recent proof of the Global Attractor Conjecture. link to paper

• Gheorghe Craciun has received a Vilas Associate Award!

• Sam Stechmann has been awarded a Sloan Fellowship!

• Zhennan Zhou (Ph.D. student of Shi Jin) has accepted a postdoc offer from Duke University and will begin in Fall 2014.

• Jingwei Hu (former Ph.D. student of Shi Jin, currently a postdoc at Texas-Austin) has accepted a tenure-track assistant professor position at Purdue University and will begin in Fall 2014.

• Masanori Koyama (Ph.D. student of David Anderson) graduated in Fall 2014. He began a postdoc at the Department of Systems Science, Kyoto University starting in January 2014.

• 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.

Workshops

• Mathematical Fluids, Materials & Biology Ann Arbor, MI, June 12-15, 2019
• RTG Workshop: Turbulent and Coherent Convection 224 Ingraham Hall, May 27-29, 2015

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)
• Physical Applied Math Group Meeting (Spagnolie/Thiffeault) (Thursdays at 4:00pm, VV 901)
• Networks Seminar (Anderson/Johnston/Craciun) (Wednesdays at 2:25pm, VV 901)

other seminar series of interest

• Mathematics Colloquium (Fridays at 4:00pm, VV B239)
• Probability Seminar (Thursdays at 2:25pm, VV 901)
• SILO Seminar (Wednesdays at 12:30pm, 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)
• AOS Colloquium (Mondays at 3:30 pm; 811 AOSS building)
• Astronomy Colloquium (Thursdays at 3:45 pm; 4421 Sterling 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.

Nan Chen: (Courant, 2016) fluid dynamics, atmospheric science, computational mathematics.

Amy Cochran: (Cornell, 2013) population health science, computational psychiatry.

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.

Qin Li: (Wisconsin, 2012) applied & computational mathematics.

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

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, soft matter, 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.

Leonardo Andrés Zepeda-Núñez: (MIT, 2015) machine learning, numerical analysis, wave propagation, inverse problems.

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

Arthur Evans: (UCSD, 2011) soft matter, complex fluids

Prerna Gera: (Buffalo, 2018) fluid-structure interactions

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.

James Brunner: Student of Gheorghe Craciun.

Alireza Fotuhi: Student of Amir Assadi.

Jing Hao: Student of Jean-Luc Thiffeault.

Mohammad Khabbazian: Student of Amir Assadi.

Masanori (Maso) Koyama: Student of David Anderson.

Liu Liu: Student of Shi Jin

Wilson Lough: Student of Saverio Spagnolie.

Hasti Mirkia: Student of Amir Assadi.

Thomas Morrell: Student of Saverio Spagnolie and Jean-Luc Thiffeault.

Ting-Ting Nan: Student of Nigel Boston.

Arash Sangari: Student of Amir Assadi.

Ebru Selin Selen: Student of Amir Assadi.

Jinsu Kim: Student of David Anderson.

Huanyu Wen: Student of Jean-Luc Thiffeault.

Elizabeth Skubak Wolf: Student of David Anderson.

Qian You: Student of Sigurd Angenent.

Graduate course offerings

Fall 2019

• Math 632: Introduction to Stochastic Processes (David Anderson, Timo Seppalainen, Benedek Valko)
• Math 703: Methods of Applied Mathematics I (Saverio Spagnolie)
• Math 705: Mathematical Fluid Dynamics (Leslie Smith)
• Math 714: Methods of Computational Math I (Sam Stechmann)

Spring 2020

• Math 632: Introduction to Stochastic Processes (TBA)
• Math 704: Methods of Applied Mathematics II (TBA)
• Math 715: Methods of Computational Math II (TBA)

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