Mathematician:Alexander Grothendieck
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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
- Ax-Grothendieck Theorem (independently of James Burton Ax)
- Birkhoff-Grothendieck Theorem (with George David Birkhoff)
- Grothendieck Category
- Grothendieck's Connectedness Theorem
- Grothendieck Connection
- Grothendieck Construction
- Grothendieck's Galois Theory
- Grothendieck Group
- Grothendieck Inequality
- Grothendieck Constant
- Grothendieck-Katz p-Curvature Conjecture (with Nicholas Michael Katz)
- Grothendieck's Relative Point of View
- Grothendieck-Hirzebruch-Riemann-Roch Theorem (with Friedrich Ernst Peter Hirzebruch, Georg Friedrich Bernhard Riemann and Gustav Roch)
- Grothendieck Space
- Grothendieck Spectral Sequence
- Grothendieck Topology
- Grothendieck Universe
- Tarski-Grothendieck Set Theory (with Alfred Tarski)
- Tutte-Grothendieck Invariant (with William Thomas Tutte)
- 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.