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

Learn MoreResearch Interests: Partial Differential Equations, Free Boundary Problems, Nonlocal operators

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

Learn MoreResearch 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).

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

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

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

Learn MoreResearch 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

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

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

Learn MoreRTG Postdoctoral Fellow

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

Learn MoreRTG Postdoctoral Fellow

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

Learn MoreRTG Postdoctoral Fellow

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

Learn MoreRTG Postdoctoral Fellow

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

Learn MoreBing 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.

Learn MoreRTG Postdoctoral Fellow

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

Learn MoreBing Instructor

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

Learn MoreThis is a list of UT graduate students who earned their PhD in the past few years under the advice of some current (or recent) member of the Analysis group.

Tian Ding (2014, Ren)

Zhihui Xie (2014, Pavlovic)

Chenglong Zhang (2014, Gamba)

Denis Krivenstov (2015, Caffarelli)

Sarah Vallélian (2015, Ren)

Michel Harmon (2016, Gamba & Ren)

Rohit Jain (2016, Caffarelli)

Jose Morales Escalante (2016, Gamba)

Maja Tasković (2016, Gamba & Pavlovic)

Sona Akopian (2017, Gamba)

Javier Morales (2017, Caffarelli & Figalli)

Robin Neumayer (2017, Figalli & Maggi)

Hui Yu (2017, Caffarelli)

Rongting Zhang (2017, Ren)

Yimin Zhong (2017, Ren)

Hernan Vivas (2018, Caffarelli)

Luis Duque (2018, Caffarelli)

Cornelia Mihaila (2018, Maggi).

Matthew Novack (2018, Vasseur)

Jacob Carruth (2019, Israel)

Sam Krupa (2019, Vasseur)

Logan Stokols (2019, Vasseur)

Yijing Wu (2019, Caffarelli).

Ioakein Ampatzoglou (2020, Pavlovic)

Abraham Frei-Pearson (2020, Israel)

Matthew Rosenzweig (2020, Pavlovic)

Darren King (2021, Maggi)

Anna Szczekutowitz (2021, Gamba)