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Cédric Villani (born in1973) is a French mathematician working primarily on partial differential equations and mathematical physics. He was awarded the Fields Medal in 2010. Villani has worked on the theory of partial differential equations involved in statistical mechanics, specifically the Boltzmann equation, where, with Laurent Desvillettes, he was the first to prove how fast convergence occurred for initial values not near equilibrium. He has also written with Giuseppe Toscani on this subject. With Clément Mouhot, he has also worked on nonlinear Landau damping. He has worked on the theory of optimal transport and its applications to differential geometry, and with John Lott has defined a notion of bounded Ricci curvature for general measured length spaces. He received the Fields Medal for his work on Landau damping and the Boltzmann equation.