Mathematician:André Abraham Weil

Mathematician

French mathematician who known for his foundational work in number theory and algebraic geometry.

Founding member and early leader of the Bourbaki group.

Brother of the philosopher Simone Weil.

Wolf Prize

André Abraham Weil was awarded a Wolf Prize for Mathematics in $\text {1979}$:

For his inspired introduction of algebraic-geometric methods to the theory of numbers.

Nationality

French

History

• Born: 6 May 1906, Paris, France
• Died: 6 August 1998 in Princeton, New Jersey, USA

Theorems and Definitions

• Borel-Bott-Weil Theorem (with Armand Borel and Raoul Bott) (also known as Borel-Weil-Bott Theorem)
• Mordell-Weil Theorem (with Louis Joel Mordell)

• Chern-Weil Theory (with Shiing-Shen Chern)
• Chern-Weil Homomorphism (with Shiing-Shen Chern)
• Weil-Deligne Group (with Pierre René Deligne)

Results named for André Abraham Weil can be found here.

Definitions of concepts named for André Abraham Weil can be found here.

Publications

• 1935: Arithmétique et géométrie sur les variétés algébriques
• 1937: Sur les espaces à structure uniforme et sur la topologie générale
• 1940: L'intégration dans les groupes topologiques et ses applications
• 1946: Foundations of Algebraic Geometry
• 1948: Sur les courbes algébriques et les variétés qui s’en déduisent
• 1948: Variétés abéliennes et courbes algébriques
• 1950: The future of mathematics (Amer. Math. Monthly Vol. 57, no. 5: pp. 295 – 306)  www.jstor.org/stable/2306198
• 1958: Introduction à l'étude des variétés kählériennes
• 1958: Discontinuous subgroups of classical groups
• 1967: Basic number theory
• 1971: Dirichlet Series and Automorphic Forms, Lezioni Fermiane
• 1975: Essais historiques sur la théorie des nombres
• 1976: Elliptic Functions According to Eisenstein and Kronecker
• 1979: Number Theory for Beginners (with Maxwell Rosenlicht)
• 1982: Adeles and Algebraic Groups
• 1984: Number Theory: An Approach Through History From Hammurapi to Legendre

Notable Quotes

If logic is the hygiene of the mathematician, it is not his source of food; the great problems furnish the daily bread on which he thrives.

-- May 1950: The future of mathematics (Amer. Math. Monthly Vol. 57, no. 5: pp. 295 – 306)  www.jstor.org/stable/2306198

Sources

• John J. O'Connor and Edmund F. Robertson: "André Abraham Weil": MacTutor History of Mathematics archive

• 2008: David Joyner: Adventures in Group Theory (2nd ed.) ... (previous) ... (next): Chapter $1$: Elementary, my dear Watson