People

William Beckner

Research Interests: Fourier Analysis, Symmetry Methods, Sharp Geometric Inequalities, Sobolev embedding, Heisenberg group, Hyperbolic Space, Analysis on Lie Groups

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Luis Caffarelli

Research Interests: Partial Differential Equations, Free Boundary Problems, Nonlocal operators

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Thomas Chen

Research interests: Spectral and dynamical problems in quantum field theory, random Schrödinger equations, renormalization group methods, scaling limits of quantum dynamics, nonlinear PDEs, Hamiltonian dynamics.

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Matias Delgadino

Research interests: Mathematical modeling through PDEs of self-organization phenomena in systems with a large number of particles/agents (e.g., dynamics of parameter training in commonly used machine learning algorithms).

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Irene Gamba

Research Interests: Applied and Computational analysis, Mathematical and Statistical Physics, non-linear Kinetic and Partial Differential Equations

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Maria Gualdani

Research interests: nonlinear partial differential equations, parabolic and elliptic equations, diffusion processes, kinetic theory, mean field games.

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Arie Israel

Research interests: Harmonic Analysis, Approximation Theory

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Francesco Maggi

Research Interests: Calculus of Variations, Geometric Analysis, Minimal and Constant Mean Curvature Surfaces, Isoperimetric and Capillarity Problems, Functional Inequalities.

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Natasa Pavlovic

Research interests: asymptotic dynamics for nonlinear PDE (including equations of fluid motion, dispersive and kinetic equations) and rigorous derivation of such equations from many particle systems

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Stefania Patrizi

Research Interests: Partial differential equations, homogenization, free boundary problems, eigenvalue problems, fully nonlinear equations, non-local operators

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Alexis Vasseur

Research Interests: Partial Differential Equations, Navier-Stokes equations, Hyperbolic conservation laws, Non local operators, Kinetic equations, hydrodynamic limits

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Postdoctoral Associates

Rene Cabrera

RTG Postdoctoral Fellow

Research Interests: Optimal transportation, partial differential equations, and calculus of variations

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Michael Novack

RTG Postdoctoral Fellow

Research Interests: Nonlinear partial differential equations; calculus of variations, in particular variational problems from materials science or physics

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Ben Seeger

RTG Postdoctoral Fellow

Research interests: Nonlinear stochastic partial differential equations, stochastic homogenization and other asymptotic problems, numerical methods, mean field games, and rough path theory.

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Mary Vaughan

RTG Postdoctoral Fellow

Research Interests: Partial differential equations, harmonic analysis, nonlocal equations, fractional derivatives, regularity theory.

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Past Postdoctoral Associates

Salvatore Stuvard

Bing Instructor 2018-21, then Assistant Professor at U Statale Milano.

Research interests: Plateau’s problem, regularity of minimal surfaces, analysis of harmonic maps, currents with coefficients in groups, branched transportation problems.

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Jackie Chong

RTG Postdoctoral Fellow

Research Interests: Harmonic analysis, dispersive PDEs and many-body dynamics.

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Laurent Lafleche

Bing Instructor

Research interests: Behavior of PDEs, kinetic models, fluid mechanics, quantum mechanics, semiclassical, diffusive and mean field limits, functional analysis, transportation theory.

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