Maurice Auslander

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Maurice Auslander (born August 3, 1926 in Brooklyn , † November 18, 1994 in Trondheim ) was an American mathematician who studied algebra .

Life

Fremder studied at Columbia University with a bachelor's degree in 1949 and received his doctorate in 1954 under Robert L. Taylor with a dissertation in group theory ( Relative cohomology theory of groups and continuations of homomorphisms ). Before that, he became an instructor at the University of Chicago in 1953 and then at the University of Michigan . In 1956/57 he was at the Institute for Advanced Study . In 1957 he was assistant professor and 1960 associate professor at Brandeis University and was in 1960/61 the mathematics faculty. In 1961/62 he was visiting scholar at the University of Paris. In 1963 he became a professor at Brandeis University, which he remained until his death from cancer in 1994. Since 1992 he has also been an adjunct professor at Trondheim University , which he has attended regularly since 1978.

He has been a visiting professor and visiting scholar at numerous universities around the world, e. B. in Mexico, Uruguay and China and in Germany in Bielefeld and Paderborn.

Fremder dealt with representation theory of algebras , commutative and homological algebra .

He worked with David Buchsbaum (first in 1957) and with Idun riding (foreigner riding theory, foreigner riding quiver and foreigner riding episodes (= almost disintegrating episodes) in the 1970s).

He was invited speaker at the International Congress of Mathematicians in Stockholm in 1962 (Modules over unramified regular local rings) and in Berkeley in 1986 (The what, where and why of almost split sequences).

In 1963/64 he was a Sloan Research Fellow and 1978/79 Guggenheim Fellow . In 1994 he received a Humboldt Research Award . He was a member of the American Academy of Arts and Sciences (1971) and the Royal Norwegian Society of Science.

His doctoral students include Victor J. Katz , Sverre Smalø, Mark Bridger, Gordana Todorov, Lucien Szpiro (second speaker, in Paris).

His brother Louis Auslander was also a mathematician.

Fonts

  • Idun Riding, Sverre Smalø, Oyvind Solberg (Editor) Selected works of Maurice Auslander , 2 volumes, American Mathematical Society 1999
  • with David Buchsbaum Homological dimension in Noetherian rings , Transactions of the American Mathematical Society, Volume 85, 1957, pp. 390-405
  • Modules over unramified regular local rings , Illinois J. Math., Vol. 5, 1961, pp. 631-647
  • with Mark Bridger Stable module theory , American Mathematical Society 1969
  • with Buchsbaum Groups, rings, modules , Harper and Row 1974
  • Foreigners, Riding, Sverre O. Smalø Representation theory of Artin algebras , Cambridge Studies in Advanced Mathematics, 36, Cambridge University Press, 1997
  • with riding representation theory of Artin algebras. III. Almost split sequences , Communications in Algebra, Volume 3, 1975, pp. 239-294

See also

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ^ Mathematics Genealogy Project on Lucien Szpiro. In his CV, Szpiro states that his doctoral supervisor is Pierre Samuel and that his dissertation was influenced by seminars with Alexander Grothendieck, Claude Chevalley and Maurice Auslander.