# 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 Bourbaki group.

### Fields Medal

Jean-Pierre Albert Achille Serre was awarded a Fields Medal in $\text {1954}$ at the International Congress of Mathematicians in Amsterdam, Netherlands:

Achieved major results on the homotopy groups of spheres, especially in his use of the method of spectral sequences. Reformulated and extended some of the main results of complex variable theory in terms of sheaves.

### Wolf Prize

Jean-Pierre Albert Achille Serre was awarded a Wolf Prize for Mathematics in $\text {2000}$:

For his many fundamental contributions to topology, algebraic geometry, algebra, and number theory and for his inspirational lectures and writing.

### Abel Prize

Jean-Pierre Albert Achille Serre was awarded an Abel Prize in $\text {2003}$:

For playing a key role in shaping the modern form of many parts of mathematics, including topology, algebraic geometry and number theory.

French

## History

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

## Theorems and Definitions

Results named for Jean-Pierre Albert Achille Serre can be found here.

Definitions of concepts named for Jean-Pierre Albert Achille Serre can be found here.

## 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)
• 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 Skip Garibaldi and Alexander Merkurjev)
• 2001: Exposés de séminaires 1950–1999
• 2003: Grothendieck–Serre Correspondence, bilingual edition, edited with Pierre Colmez
• 2012: Lectures on $\map {N_X} p$
• 2015: Correspondance Serre-Tate edited with Pierre Colmez
• 2016: Finite Groups: an Introduction

## Also known as

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