Pierre Émile Cartier (10 June 1932 – 17 August 2024) was 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.

Life and career

Cartier was born on 10 June 1932. He studied at the École Normale Supérieure in Paris under Henri Cartan and André Weil.[2] After his 1958 thesis on algebraic geometry, he 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 died in Marcoussis on 17 August 2024, at the age of 92.[6]

Publications

As editor

See also

References

  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. ^ Pierre Cartier, mathématicien français, est mort Le Monde (in French)
  7. ^ "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).
  8. ^ 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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