Cédric Villani

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Cédric Villani
Cedric Villani at his office 2015 n3.jpg
Cédric Villani in 2015
Born (1973-10-05) 5 October 1973 (age 44)
Brive-la-Gaillarde, France[1]
Residence Paris, France
Nationality French
Alma mater École Normale Supérieure
Paris Dauphine University
Known for Boltzmann equation
Kinetic theory
Landau damping
Transportation theory
Otto–Villani theorem
Awards EMS Prize (2008)
Fermat Prize (2009)
Henri Poincaré Prize (2009)
Fields Medal (2010)
Joseph L. Doob Prize (2014)
Scientific career
Fields Mathematics
Institutions Institut Henri Poincaré, Sorbonne University
University of Lyon
Institut Camille-Jordan
Thesis Contribution à l'étude mathématique des équations de Boltzmann et de Landau en théorie cinétique des gaz et des plasmas (1998)
Doctoral advisor Pierre-Louis Lions
Doctoral students Alessio Figalli
Clément Mouhot
Website cedricvillani.org

Cédric Patrice Thierry Villani (French: [se.dʁik pa.tʁis tjɛ.ʁi vi.la.ni]; born 5 October 1973) is a French mathematician and politician working primarily on partial differential equations, Riemannian geometry and mathematical physics. He was awarded the Fields Medal in 2010 and he was the director of Sorbonne University's Institut Henri Poincaré from 2009 to 2017.

Villani was elected to the National Assembly, the lower house of the French Parliament, during the 2017 legislative election. A member of La République En Marche! he represents Essonne's 5th constituency.[2] He was elected Vice President of the French Parliamentary Office for the Evaluation of Scientific and Technological Choices in July 2017.


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.[3][4]

He has held various visiting positions at Georgia Tech (Fall 1999), the University of California, Berkeley (Spring 2004), and the Institute for Advanced Study, Princeton (Spring 2009).[5]

Mathematical work[edit]

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.[4] He has written with Giuseppe Toscani on this subject. With Clément Mouhot, he has worked on nonlinear Landau damping.[6] 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.[7]

Villani received the Fields Medal for his work on Landau damping and the Boltzmann equation.[4] He described the development of his theorem in his autobiographical book Théorème vivant (2012), published in English translation as Birth of a Theorem: A Mathematical Adventure (2015). He gave a TED talk at the 2016 conference in Vancouver.[8]

Political career[edit]

In 2017, it was announced that Villani had been selected as a candidate for En Marche! in the French legislative election, 2017, for Essonne's 5th constituency.[9][10] In the first round of voting, Villani obtained 47% of the vote and was thus strongly placed for the second round[11] which he won with 69.36% of the vote.[12]

Awards and honours[edit]

Diplomas, titles and awards[edit]

Extra-academic distinctions[edit]

Selected writings[edit]


  1. ^ Sylvain Guilbaud; Antoine Walraet. "Cédric Villani", Encyclopædia Universalis.
  2. ^ Emmanuel Macron team announces candidates for France's June parliamentary election, ABC News Online, 12 May 2017
  3. ^ Mathematics Genealogy Project – Cédric Villani. Accessed on line 20 August 2010.
  4. ^ a b c "Fields Medal – Cédric Villani". Archived from the original on 29 August 2010. Retrieved 20 August 2010. 
  5. ^ "Curriculum Vitae (Cédric Villani)" (PDF). cedricvillani.org. Retrieved 24 May 2017. 
  6. ^ Clément Mouhot; Cédric Villani (2010). "Landau damping". Journal of Mathematical Physics. 51 (15204): 015204. arXiv:0905.2167Freely accessible. Bibcode:2010JMP....51a5204M. doi:10.1063/1.3285283. 
  7. ^ John Lott; Cedric Villani (2004). "Ricci curvature for metric-measure spaces via optimal transport". arXiv:math/0412127Freely accessible [math.DG]. 
  8. ^ "Cédric Villani: What's so sexy about math?". TED. Retrieved 8 June 2016. 
  9. ^ "France's Macron announces gender equal list of political outsiders". BBC News. 11 May 2017. Retrieved 11 May 2017. 
  10. ^ "Communiqué de presse – Liste des investis aux élections législatives | En Marche !". En Marche !. Retrieved 11 May 2017. 
  11. ^ "Cédric Villani : "L'idée, c'est d'avoir des compétences variées"". Libération. 15 Jun 2017. Retrieved 18 Jun 2017. 
  12. ^ l'Intérieur, Ministère de. "Elections législatives 2017". elections.interieur.gouv.fr. Retrieved 2017-06-19. 
  13. ^ Josiah Willard Gibbs Lectures – No. 86, January 2013, San Diego, CA; Cédric Villani Accessed on line 20 May 2015.
  14. ^ Joseph L. Doob Prize – Most Recent Prize: 2014 Accessed on line 20 May 2015.
  15. ^ Cédric Villani, new member of the French Academy of Science Accessed on line 20 May 2015.

External links[edit]