Cédric Villani
| Cédric Villani | |
|---|---|
Cédric Villani in 2015
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| Born |
5 October 1973 Brive-la-Gaillarde, France |
| Residence | Paris, France |
| Nationality | French |
| Fields | Mathematics |
| Institutions |
Institut Henri Poincaré, Pierre and Marie Curie University University of Lyon Institut Camille Jordan |
| Alma mater |
École Normale Supérieure Paris Dauphine University |
| Doctoral advisor | Pierre-Louis Lions |
| Doctoral students |
Alessio Figalli Clément Mouhot |
| Known for |
Boltzmann equation Kinetic theory Landau damping Transportation theory Otto–Villani theorem |
| Notable awards |
EMS Prize (2008) Fermat Prize (2009) Henri Poincaré Prize (2009) Fields Medal (2010) Joseph L. Doob Prize (2014) |
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Website cedricvillani |
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Cédric Patrice Thierry Villani (born 5 October 1973) is a French mathematician working primarily on partial differential equations, Riemannian geometry and mathematical physics. He was awarded the Fields Medal in 2010 and is the current director of Pierre and Marie Curie University's Institut Henri Poincaré.
After attending the Lycée Louis-le-Grand, Villani was admitted at the École normale supérieure in Paris and studied there from 1992 to 1996. He was later appointed an assistant professor in the same school. He received his doctorate at Paris Dauphine University in 1998, under the supervision of Pierre-Louis Lions, and became professor at the École normale supérieure de Lyon in 2000. He is now professor at the University of Lyon. He has been the director of Institut Henri Poincaré in Paris since 2009.
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 quickly convergence occurs for initial values not near equilibrium. He has written with Giuseppe Toscani on this subject. With Clément Mouhot, he has 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.
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