Pierre Cartier (mathematician)

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Pierre Cartier
Pierre Émile Cartier

(1932-06-10) 10 June 1932 (age 91)
Alma materUniversity of Paris
Known forCartier divisor
Cartier duality
Cartier isomorphism
Cartier operator
Cartier's theorem
Cartier–Foata matrices
AwardsPrix Peccot (1960)[1]
ICM Speaker (1970)
Prize Ampère (1978)
Scientific career
InstitutionsUniversity of Strasbourg
Institut des Hautes Études Scientifiques
Doctoral advisorHenri Cartan
André Weil
Doctoral studentsGuy Henniart

Pierre Émile Cartier (born 10 June 1932) is a French mathematician. An associate of the Bourbaki group and at one time a colleague of Alexander Grothendieck, his interests have ranged over algebraic geometry, representation theory, mathematical physics, and category theory.

He studied at the École Normale Supérieure in Paris under Henri Cartan and André Weil.[2] Since his 1958 thesis on algebraic geometry he has worked in a number of fields. He is known for the introduction of the Cartier operator in algebraic geometry in characteristic p, and for work on duality of abelian varieties and on formal groups. He is the eponym of Cartier divisors and Cartier duality.

From 1961 to 1971 he was a professor at the University of Strasbourg. In 1970 he was an Invited Speaker at the International Congress of Mathematicians in Nice.[3] He was awarded the 1978 Prize Ampère of the French Academy of Sciences.[4] In 2012 he became a fellow of the American Mathematical Society.[5]


  • Cartier, Pierre; Foata, Dominique (14 November 2006). Problèmes combinatoires de commutation et réarrangements. Springer. ISBN 9783540360940. (1st edition 1969)[6]
  • Waldschmidt, Michel; Moussa, Pierre; Luck, Jean-Marc; Itzykson, Claude, eds. (9 March 2013). "An introduction to zeta functions by Pierre Cartier". From Number Theory to Physics. Springer. pp. 1–63. ISBN 9783662028384. (1st edition 1992)
  • "A primer of Hopf algebras" (PDF). Report Number IHES-M-2006-40: 1–74. September 2006.
  • Freedom in Mathematics, Springer India, 2016 (with Cédric Villani, Jean Dhombres, Gerhard Heinzmann), ISBN 978-81-322-2786-1.[7]
    • Translation from the French language edition: Mathématiques en liberté, La Ville Brûle, Montreuil 2012, ISBN 978-23-601-2026-0.
  • Pierre Cartier: Alexander Grothendieck. A country known only by name. Notices AMS, vol. 62, 2015, no. 4, pp. 373–382, PDF.

as editor[edit]

See also[edit]


  1. ^ "Pierre Cartier". Institute for Advanced Study. 9 December 2019.
  2. ^ Pierre Cartier at the Mathematics Genealogy Project
  3. ^ Cartier, Pierre (1970). "Groupes formels, fonctions automorphes et fonctions zeta des courbes elliptiques" (PDF). In: Actes des Congrés intern. Math. Vol. tome 2. pp. 291–299. Archived from the original (PDF) on 2017-07-06. Retrieved 2017-11-14.
  4. ^ "40 ans du Prix Ampère" (PDF). Académie des sciences. 18 October 2016.
  5. ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-10.
  6. ^ "Commutation and Rearrangements, An electronic reedition of the monograph: Problèmes combinatoires de commutation et réarrangements by Pierre Cartier and Dominique Foata". European Mathematical Information Service (EMIS).
  7. ^ Glass, Darren (July 7, 2016). "Review of Freedom in Mathematics by Pierre Cartier, Jean Dhombres, Gerhard Heinzmann, and Cédric Villani". MAA Reviews, Mathematical Association of America.

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