Pierre Cartier | |
---|---|

Born | Pierre Émile Cartier 10 June 1932 |

Nationality | France |

Alma mater | University of Paris |

Known for | Cartier divisor |

Awards | Prize Ampère (1979) |

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) 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.^{[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 a Professor at the University of Strasbourg. In 1970 he was an Invited Speaker at the International Congress of Mathematicians in Nice.^{[2]} He was awarded the Prize Ampère of the French Academy of Sciences in 1979. In 2012 he became a fellow of the American Mathematical Society.^{[3]}

## Publications

*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.

- Translation from the French language edition:
- Pierre Cartier:
*Alexander Grothendieck. A country known only by name.*Notices AMS, Band 62, 2015, Nr. 4, S. 373, PDF.

## References

**^**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*. tome 2. pp. 291–299.**^**List of Fellows of the American Mathematical Society, retrieved 2012-11-10.

## External links

- Cartier's website at the Institut des Hautes Études Scientifiques, with a photograph, CV, and list of publications
- Issue of Moscow Mathematical Journal dedicated to Pierre Cartier
- http://www-history.mcs.st-and.ac.uk/Biographies/Cartier.html