Department of Mathematics, University of Wisconsin, Madison WI
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Faculty
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Georghe Craciun Associate Professor Ohio State University, 2002 craciun at math dot wisc dot edu Research Interests: Mathematical Biology Research Description: I am interested in the use of dynamical systems, numerical analysis, and scientific computing for mathematical modeling in biology and medicine. In particular, I am interested in dynamical properties of biochemical reaction networks (such as multistability, oscillations, persistence and global stability), network identification, and mass spectrometry-based proteomics. |
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Sergeui Denissov Associate Professor Moscow State University, 1999 denissov at math dot wisc dot edu Research Interests: Analysis, Mathematical Physics Research Description: My area of research is Analysis. I work mainly in two classical areas: Approximation theory and Scattering theory. Recently, I have been also working on some projects related to two-dimensional fluid motion. The Approximation theory is a classical area in Analysis with links to almost any other branch of Mathematics. I am mostly interested in the behavior of polynomials orthogonal on the unit... |
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Mikhail Feldman Professor UC Berkeley, 1994 feldman@math.wisc.edu Research Interests: Nonlinear PDEs Research Description: I am interested in nonlinear PDE and free boundary problems. My recent research include study of shock reflection in gas dynamics, which involves study of free boundary problems for nonlinear degenerate-elliptic equations. I also work on semigestrophic system of PDE, which models atmospheric flows, and this work involves methods related to Monge-Kantorovich mass transport theory. |
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Andreas Seeger Professor Technische Hochschule Darmstadt, 1985 seeger at math dot wisc dot edu Research Interests: Harmonic Analysis Research Description: Andreas' research interests include singular integrals, pointwise convergence of Fourier series, Fourier and spectral multiplier transformations, function spaces, wave propagation, oscillatory and Fourier integral operators, maximal functions related to geometric questions, and other applications of harmonic analysis. |
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Leslie Smith Professor MIT, 1988 lsmith at math dot wisc dot edu Research Interests: Fluid Dynamics, Geophysical Fluid Dynamics Research Description: My research has focused on the nonlinear effects of inertia-gravity waves in atmosphere/ocean flows and the self-organization of waves and turbulence into large-scale coherent structures. Such structures are ubiquitous in nature, and include jets (the North American jet stream and the Gulf stream), vortices (low pressure areas, hurricanes, etc) and persistent layered flows (such as in the... |
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Saverio Spagnolie Assistant Professor Courant Institute, NYU, 2008 spagnolie at math dot wisc dot edu Research Interests: Biolocomotion, soft matter, complex fluids, numerical methods Research Description: Saverio Spagnolie's main research focus is at the interface between fluid and solid structures in soft biological matter. He investigates problems in biological propulsion, cell mechanics, and collective behavior using a number of techniques, from the application of classical methods of applied mathematics to the development of novel numerical methods. |
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Sam Stechman Associate Professor Courant Institute, NYU, 2008 stechman at math dot wisc dot edu Research Interests: Fluid dynamics, atmospheric science Research Description: Broadly speaking, my research is in applied math and climate science, and it involves a wide range of areas: stochastic models, multiscale asymptotics, partial differential equations (PDEs),and numerical models. These areas of mathematics play a crucial role in the Tropics, where clouds and storms – i.e., atmospheric convection – are organized through complex interactions with atmospheric... |
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Betsy Stovall Assistant Professor UC-Berkeley, 2009 stovall at math dot wisc dot edu Research Interests: Harmonic Analysis Research Description: Betsy Stovall's main research focus is on harmonic analysis. |
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Brian Street Assistant Professor Princeton University, 2007 street at math dot wisc dot edu Research Interests: Singular Integrals, Several Complex Variables, Linear PDE Research Description: I am interested in singular integrals as they relate to linear partial differential equations. For instance, if P is a partial differential operator, there is sometimes an inverse operator T with PT=I, where I denotes the identity. Much of my research revolves around studying operators like T. More precisely, under what conditions on P can we obtain a good picture of what T looks like. ... |
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Jean-Luc Thiffeault Professor University of Texas at Austin, 1998 jeanluc at math dot wisc dot edu Research Interests: Fluid Dynamics Research Description: Jean-Luc Thiffeault's main research focus is on mixing in fluid dynamics. Mixing is relevant to many areas of science and engineering, including the pharmaceutical and food industries, oceanography, atmospheric sciences, and environmental engineering. |
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Hung Tran Assistant Professor UC Berkeley, 2012 hung@math.wisc.edu Research Interests: Calculus of Variations, Nonlinear PDEs Research Description: Currently, I am interested in studying well-posedness and fine properties of some nonlinear PDEs such as Hamilton-Jacobi equations, fully nonlinear elliptic equations, front propagation, mean curvature flows, etc. In particular, I focus on some asymptotic problems (homogenization, large time behavior), duality nature, dynamical properties of solutions (connection to weak Kolmogorov-Arnold-... |
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Fabian Waleffe Professor MIT, 1989 waleffe at math dot wisc dot edu Research Interests: Coherent structures, Computational methods, Fluid dynamics Research Description: Fabian Waleffe's main research focus has been on `Exact Coherent States', how to calculate them and how they control turbulent flows. Exact coherent states are particular steady, traveling wave or periodic solutions of the governing partial differential equations (Navier-Stokes, Boussinesq) in physically realistic wall-bounded domains. These solutions are generally unstable, strongly... |
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Andrej Zlatoš Associate Professor Caltech, 2003 zlatos at math dot wisc dot edu Research Interests: Reaction-diffusion equations, Fluid dynamics, Spectral theory of Schrödinger operators, and Orthogonal polynomials Research Description: Professor Zlatoš works in the areas of applied analysis and partial differential equations (PDEs), where his interest is primarily in parabolic and elliptic PDEs and fluid dynamics. His recent work has been focused on reaction-diffusion and advection-diffusion equations. These model evolution of quantities such as densities of chemicals or animal species, or temperatures of combusting media,... |
Postdoctoral Fellows
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Jennifer Beichman Van Vleck Visiting Assistant Professor beichman at math dot wisc dot edu University of Michigan, 2013 Research Interests: Fluid Mechanics, Harmonic Analysis Research Description: My research considers the partial differential equations governing fluid motion. In particular, part of my research, joint with Sijue Wu of the University of Michigan, studies the type of initial data which leads to the formation of sharp corners in the surface of water. More recently, I have started studying the merging rates of vortex patches in 2D Euler flow with Sergey Denissov. |
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Brian Cook Van Vleck Visiting Assistant Professor bcook at math dot wisc dot edu University of British Columbia, 2013 Research Interests: Harmonic Analysis, Additive/Extremal Combinatorics, and Additive Number Theory Research Description: I am particularly interested in applications of combinatorial and classical / higher order Fourier analytic methods to problems in number theory, such as Diophantine equations in many variables, and analysis, such as geometric Ramsey type problems. |
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Jessica Lin Van Vleck Visiting Assistant Professor jessica at math dot wisc dot edu Chicago, 2014 Research Interests: Nonlinear Partial Differential Equations, Homogenization, Regularity Theory Research Description: My research is driven by the study of stochastic homogenization. In broad terms, stochastic homogenization refers to the study of macroscopic behavior subject to random microscopic effects. We capture this behavior by studying the asymptotic properties of solutions to certain partial differential equations modeling the phenomena. I am primarily interested in nonlinear and non-variational... |
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David Sondak Van Vleck Visiting Assistant Professor sondak at math dot wisc dot edu Rensselaer Polytechnic Institute, 2013 Research Interests: Applied Math, Fluid Mechanics, Numerical Methods Research Description: My research focuses on various aspects of fluid dynamics ranging from magnetohydrodynamic turbulence to atmospheric fluid dynamics. Applications range from nuclear fusion to the geodynamo problem to understanding our climate and weather. More specifically, I work on developing numerical techniques for computational studies of these phenomena. A trademark of the dynamics of these systems is... |
Graduate Fellows
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Laura Cladek Graduate Fellow cladek at math dot wisc dot edu Research Interests: Harmonic Analysis Research Description: I will be a second-year graduate student at UW-Madison this fall, and I am interested in harmonic analysis. My hobbies include traveling, hiking, and horseback riding. I also enjoy going out to eat at all the great restaurants here in Madison. |
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Tam Do Graduate Fellow tamdo at math dot wisc dot edu Research Interests: Analysis, Partial Differential Equations Research Description: I am interested in Partial Differential Equations and Analysis. Currently, I am studying active scalar equations. |
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Will Mitchell Graduate Fellow whmitchell at math dot wisc dot edu Research Interests: Fluid Dynamics, Computational Mathematics Research Description: I study problems related to numerical simulation of the slow flows of ice sheets and glaciers. |
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Keith Rush Graduate Fellow jkrush at math dot wisc dot edu Research Interests: Approximation theory, orthogonal polynomials and applications Research Description: |
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Jonathan Schroeder Graduate Fellow jschroeder at math dot wisc dot edu Research Interests: PDE, Analysis, Differential Geometry Research Description: I'm a first year student interested in Analysis. The topics I'd be interested in researching are still somewhat nebulous, but these days I'm particularly intrigued by erogdicity and mixing. |