Mathematician:Alexander Grothendieck

Mathematician

German-born mathematician of semi-Ukrainian ancestry who is usually credited with creating the modern field of algebraic geometry.

His collaborative seminar-driven approach had the result of making him one of the most influential thinkers of the 20th century.

Fields Medal

Alexander Grothendieck was awarded a Fields Medal in $\text {1966}$ at the International Congress of Mathematicians in Moscow, Russia:

Built on work of Weil and Zariski and effected fundamental advances in algebraic geometry. He introduced the idea of K-theory (the Grothendieck groups and rings). Revolutionized homological algebra in his celebrated 'Tôhoku paper'.

Nationality

German (of German / Ukrainian parentage)

History

• Born: 28 March 1928 in Berlin, Germany
• Died: 13 November 2014 in Ariège, near Lasserre in France

Theorems and Definitions

• Grothendieck Category
• Grothendieck Connection
• Grothendieck Constant
• Grothendieck Construction
• Grothendieck's Galois Theory
• Grothendieck Group
• Grothendieck's Relative Point of View
• Grothendieck Ring
• Grothendieck Space
• Grothendieck Spectral Sequence
• Grothendieck Topology
• Grothendieck Universe

• Tarski-Grothendieck Set Theory (with Alfred Tarski)
• Tutte-Grothendieck Invariant (with William Thomas Tutte)

• Grothendieck's Connectedness Theorem
• Grothendieck Inequality

• Ax-Grothendieck Theorem (independently of James Burton Ax)
• Birkhoff-Grothendieck Theorem (with George David Birkhoff)
• Grothendieck-Hirzebruch-Riemann-Roch Theorem (with Friedrich Ernst Peter Hirzebruch, Georg Friedrich Bernhard Riemann and Gustav Roch)
• Grothendieck-Katz p-Curvature Conjecture (with Nicholas Michael Katz)
• Nikodym-Grothendieck Boundedness Theorem (with Otton Marcin Nikodym)

Results named for Alexander Grothendieck can be found here.

Definitions of concepts named for Alexander Grothendieck can be found here.

Publications

• 1953: Résumé de la théorie métrique des produits tensoriels topologiques
• 1957: Sur la classification des fibres holomorphes sur la sphere de Riemann
• 1960 - 1969: Séminaire de Géométrie Algébrique du Bois Marie
• 1966: Éléments de géométrie algébrique
• 1981: La longue marche à travers la théorie de Galois
• 1981: Eloge
• 1983: A la poursuite des champs
• 1983: Esquisse d'un programme
• 1983 - 1985: Récoltes et Semailles
• 1986: La clef des songes
• 1987: Les dérivateurs

Also known as

His name is sometimes rendered Alexandre Grothendieck.

Sources

• John J. O'Connor and Edmund F. Robertson: "Alexander Grothendieck": MacTutor History of Mathematics archive