Michael Artin | |
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Michael Artin (photo by George Bergman)
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Born |
Hamburg, Germany |
28 June 1934
Nationality | American |
Fields | Mathematics |
Institutions | MIT |
Alma mater |
Harvard University Princeton University |
Thesis | On Enriques' Surfaces (1960) |
Doctoral advisor | Oscar Zariski |
Doctoral students |
Eric Friedlander David Harbater Rick Miranda Zinovy Reichstein Amnon Yekutieli Jian James Zhang |
Notable awards |
Harvard Centennial Medal (2005) Steele Prize (2002) Wolf Prize (2013) National Medal of Science (2015) |
Michael Artin (German: [ˈaɐ̯tiːn]; born 28 June 1934) is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology mathematics department, known for his contributions to algebraic geometry.
Artin was born in Hamburg, Germany, and brought up in Indiana. His parents were Natalia Naumovna Jasny (Natascha) and Emil Artin, preeminent algebraist of the 20th century. Artin's parents had left Germany in 1937, because Michael Artin's maternal grandfather was Jewish.
Artin did his undergraduate studies at Princeton University, receiving an A.B. in 1955; he then moved to Harvard University, where he received a Ph.D. in 1960 under the supervision of Oscar Zariski, defending a thesis about Enriques surfaces.
In the early 1960s Artin spent time at the IHÉS in France, contributing to the SGA4 volumes of the Séminaire de géométrie algébrique, on topos theory and étale cohomology. His work on the problem of characterising the representable functors in the category of schemes has led to the Artin approximation theorem, in local algebra. This work also gave rise to the ideas of an algebraic space and algebraic stack, and has proved very influential in moduli theory. Additionally, he has made contributions to the deformation theory of algebraic varieties. He began to turn his interest from algebraic geometry to noncommutative algebra (noncommutative ring theory), especially geometric aspects, after a talk by Shimshon Amitsur and an encounter in Chicago with Claudio Procesi and Lance W. Small, "which prompted [his] first foray into ring theory".