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Michael Artin (; 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.〔(Faculty profile ), MIT mathematics department, retrieved 2011-01-03〕 ==Life and career== 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.〔 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 is working on noncommutative rings, especially geometric aspects.〔From the MacTutor biography: "His main research area changed from algebraic geometry to noncommutative ring theory".〕 In 2002, Artin won the American Mathematical Society's annual Steele Prize for Lifetime Achievement. In 2005, he was awarded the Harvard Centennial Medal. In 2013 he won the Wolf Prize in Mathematics. He is also a member of the National Academy of Sciences and a Fellow of the American Academy of Arts and Sciences (1969),〔(【引用サイトリンク】url=http://www.amacad.org/publications/BookofMembers/ChapterA.pdf )〕 the American Association for the Advancement of Science, the Society for Industrial and Applied Mathematics,〔 and the American Mathematical Society.〔(List of Fellows of the American Mathematical Society ), retrieved 2012-11-03.〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Michael Artin」の詳細全文を読む スポンサード リンク
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