Mathematician:Jean-Pierre Albert Achille Serre

Mathematician
French mathematician who has made contributions to algebraic topology, algebraic geometry, and algebraic number theory.

Member of the.

Nationality
French

History

 * Born: 15 September 1926 in Bages, Pyrénées Orientales, France

Theorems and Definitions

 * Bass-Serre Theory (with )
 * Lyndon-Hochschild-Serre Spectral Sequence (with and )
 * Serre Class
 * Serre's Conjecture or Serre's Problem, now known as Quillen-Suslin Theorem (for and )
 * Serre's Conjecture concerning Galois Representations
 * Serre's Conjecture II concerning Linear Algebraic Groups
 * Serre's Criterion (there are several of them)
 * Serre Duality
 * Serre's FAC
 * Serre Fibration
 * Serre Group
 * Serre's Modularity Conjecture
 * Serre's Multiplicity Conjectures
 * Serre's Open Image Theorem
 * Serre's Property FA
 * Serre Relations
 * Serre Subcategory
 * Serre Functor
 * Serre Spectral Sequence
 * Serre-Swan Theorem (with )
 * Serre-Tate Theorem (with )
 * Serre's Theorem in Group Cohomology
 * Serre's Theorem on Affineness
 * Serre Twist Sheaf
 * Serre's Vanishing Theorem
 * Thin Set in the Sense of Serre

Publications

 * 1959: Groupes Algébriques et Corps de Classes
 * 1988: Algebraic Groups and Class Fields (translation of Groupes Algébriques et Corps de Classes from 1959)


 * 1962: Corps Locaux
 * 1980: Local Fields (translation of Corps Locaux from 1962)


 * 1964:
 * 1997: (translation of  from 1964)


 * 1965: Algèbre Locale, Multiplicités
 * 2000: Local Algebra (translation of Algèbre Locale, Multiplicités from 1965)


 * 1965: Lie algebras and Lie groups


 * 1966: Algèbres de Lie Semi-simples Complexes
 * 1987: Complex Semisimple Lie Algebras (translation of Algèbres de Lie Semi-simples Complexes from 1966)


 * 1968: Abelian $\ell$-Adic Representations and Elliptic Curves


 * 1970: Cours d'Arithmétique
 * 1973: A Course in Arithmetic (translation of Cours d'Arithmétique from 1970)


 * 1971: Représentations Linéaires des Groupes Finis
 * 1977: Linear Representations of Finite Groups (translation of Représentations Linéaires des Groupes Finis from 1971)


 * 1977: Arbres, amalgames, SL2
 * 1980: Trees (translation of Arbres, amalgames, SL2 from 1977)


 * 1986: Oeuvres/Collected Papers (three volumes)
 * 1990: Lectures on the Mordell-Weil Theorem
 * 1992: Topics in Galois Theory
 * 2000: Oeuvres/Collected Papers (volume IV)
 * 2003: Cohomological Invariants in Galois Cohomology (with and )
 * 2001: Exposés de séminaires 1950–1999
 * 2003: Grothendieck–Serre Correspondence, bilingual edition, edited with
 * 2012: Lectures on $\map {N_X} p$
 * 2015: Correspondance Serre-Tate edited with
 * 2016: Finite Groups: an Introduction

Also known as
Seen reported as Jean-Pierre Sevre, but that is probably a mistake.