Past Member

Cédric Villani

Field of Study

His main research interests are in kinetic theory (Boltzmann and Vlasov equations and their variants), and optimal transport and its applications, a field in which he wrote the two reference books: Topics in Optimal Transportation (2003); Optimal Transport, old and new (2008). More generally, he is fond of subjects which combine several (if not all) of the following themes:

  • Evolution partial differential equations
  • Fluid mechanics
  • Statistical mechanics
  • Probability theory
  • Smooth and nonsmooth “metric” Riemannian geometry
  • Functional inequalities with geometric content. "Biography," (2017)

Fields Medalist, 2010

Dates at IAS

Member: Mathematics

1/20096/2009 Spring
University of Paris Ph.D., 1998
Fields Medal 2010