Michael Artin

Michael Artin ( born June 28, 1934 in Hamburg) is an American mathematician with research focus in algebraic geometry and algebra.

Biography

Michael Artin was born in 1934 as the son of the famous mathematician Emil Artin in Hamburg. 1937 Germany left the family to the United States, as Artin had Jewish ancestors. He decided ( in his own words not influenced by his father ), to study mathematics and in 1960 received his doctorate from Harvard University with Oscar Zariski the dissertation On Enriques ' Surfaces. At Harvard and at the IHES, he took part in the seminar by Alexander Grothendieck. With Grothendieck and Jean- Louis Verdier, he wrote the fourth volume of the Séminaire de Géométrie algébrique du Bois Marie - 1963-64 on topos theory and etale cohomology. Later he was a professor at MIT.

With his concept of the " algebraic space", he extended the schema concept of Grothendieck, which was especially fruitful for the study of moduli spaces and algebraic geometry (deformation theory). Central here is the artinian Approximationstheorem on the approximation of formal power series with algebraic functions. With Peter Swinnerton - Dyer in 1973 he dissolved the Shafarevich -Tate conjecture for elliptic surfaces. From the 1980s he worked on noncommutative algebra and noncommutative algebraic geometry.

In 1966 he gave a plenary lecture at the International Congress of Mathematicians in Moscow (The etale topology of Schemes ) and in 1970 he was invited speaker at the ICM in Nice ( Construction techniques of algebraic spaces ). In 2002 he won for his life's work the Leroy P. Steele Prize. In 2013 he was awarded Wolf Prize in Mathematics. He is a Fellow of the American Mathematical Society.

Writings

  • Michael Artin: Algebra. Prentice Hall 1991, ISBN 0-13-004763-5.
  • Michael Artin, Barry Mazur etale Homotopy. Lecture Notes in Mathematics 100, Springer-Verlag 1969.
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