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Max Fathi

Welcome to my Homepage

I am a professor of mathematics at Université Paris Cité, where I am a member of the LJLL and LPSM.

Previously, I was a CNRS researcher at the Institut de Mathematiques de Toulouse, and before that, I was a postdoc in the Department of Mathematics at the University of California, Berkeley, under the supervision of Lawrence C. Evans and Fraydoun Rezakhanlou. I did my PhD in the LPMA, at the University Pierre et Marie Curie, in Paris under the supervision of Cedric Villani.

My main theme of research is applications of optimal transport in analysis, probability and statistical physics, with a focus on high-dimensional phenomenon. More broadly, topics I am interested in include interacting particle systems, functional inequalities, variational methods for PDEs, large deviations, Ricci curvature in discrete and continuous spaces, Stein's method for convergence of probability distributions, concentration of measure and numerical schemes for random dynamics.

I defended my habilitation in April 2019. The manuscript can be found here.