Back بيير كارتييه Arabic بيير كارتير ARZ Pierre Cartier Catalan Pierre Cartier (Mathematiker) German Pierre Cartier Spanish Pierre Cartier French Pierre Cartier Croatian Pierre Cartier HT ピエール・カルティエ Japanese 피에르 카르티에 Korean
Pierre Cartier | |
|---|---|
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| Born | Pierre Émile Cartier 10 June 1932 |
| Nationality | French |
| Alma mater | University of Paris |
| Known for | Cartier divisor Cartier duality Cartier isomorphism Cartier operator Cartier's theorem Cartier–Foata matrices Traces |
| Awards | Prix Peccot (1960)[1] ICM Speaker (1970) Prize Ampère (1978) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Strasbourg Institut des Hautes Études Scientifiques |
| Doctoral advisor | Henri Cartan André Weil |
| Doctoral students | Guy Henniart |
Pierre Émile Cartier (born 10 June 1932, died 17 August 2024[citation needed]) 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.
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]
- ^ "Pierre Cartier". Institute for Advanced Study. 9 December 2019.
- ^ Pierre Cartier at the Mathematics Genealogy Project
- ^ 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.
- ^ "40 ans du Prix Ampère" (PDF). Académie des sciences. 18 October 2016.
- ^ List of Fellows of the American Mathematical Society, retrieved 2012-11-10.