Mathematician:Alexander Grothendieck

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.

Nationality
German (of German / Ukrainian parentage)

History

 * Born: 28 March 1928, Berlin, Germany

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)

Books, Publications, etc.

 * 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
 * 1983: Pursuing Stacks