Pierre Cartier (mathematician)

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Pierre Cartier
Pierre Cartier 2009.jpg
Born (1932-06-10) 10 June 1932 (age 86)
Sedan, Ardennes
Nationality France
Alma mater University of Paris
Known for Cartier divisor
Awards Ampere Prize (1979)
Scientific career
Fields Mathematics
Institutions Institut des Hautes Études Scientifiques
Doctoral advisor Henri Cartan
André Weil
Doctoral students Guy Henniart

Pierre Emile Cartier (born 10 June 1932) is a 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.[1] 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 at Strasbourg. In 1970 he was an Invited Speaker at the ICM in Nice.[2] He was awarded the Ampere Prize of the French Academy of Sciences in 1979. In 2012 he became a fellow of the American Mathematical Society.[3]


  • Freedom in Mathematics, Springer India, 2016 (with Cedric Villani, Jean Dhombres, Gerhard Heinzmann), ISBN 978-81-322-2786-1.
    • 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, Band 62, 2015, Nr. 4, S. 373, PDF.


  1. ^ Pierre Cartier at the Mathematics Genealogy Project
  2. ^ Cartier, Pierre (1970). "Groupes formels, fonctions automorphes et fonctions zeta des courbes elliptiques" (PDF). In: Actes des Congrés intern. Math. tome 2. pp. 291–299. 
  3. ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-10.

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