Maurice Auslander

Maurice Auslander (August 3, 1926 – November 18, 1994) was an American mathematician[1] who worked on commutative algebra and homological algebra. He proved the Auslander–Buchsbaum theorem that regular local rings are factorial, the Auslander–Buchsbaum formula, and introduced Auslander–Reiten theory and Auslander algebras.

Born in Brooklyn, New York, Auslander received his bachelor's degree and his Ph.D. (1954) from Columbia University. He was a visiting scholar at the Institute for Advanced Study in 1956-57.[2] He was a professor at Brandeis University from 1957 until his death in Trondheim, Norway aged 68.[3] He was elected a Fellow of the American Academy of Arts and Sciences in 1971.[4]

Upon his death he was survived by his widow, a daughter, and a son.[3] His son Philip Auslander is a professor in the School of Literature, Media, and Communication at Georgia Tech.[5]

Selected publications



  • with Mark Bridger: Stable module theory, American Mathematical Society 1969
  • with David Buchsbaum: Groups, rings, modules, Harper and Row 1974; Dover reprint. 2014.[6]
  • with Idun Reiten and Sverre O. Smalø: Representation theory of Artin algebras, Cambridge Studies in Advanced Mathematics, 36, Cambridge University Press, 1995 ISBN 0-521-41134-3[7]


  1. O'Connor & Robertson, Maurice Auslander.
  2. Institute for Advanced Study: A Community of Scholars Archived 2013-01-06 at the Wayback Machine
  3. "Maurice Auslander, Mathematician, 68". New York Times. December 10, 1994. Retrieved 27 April 2011.
  4. "Book of Members, 1780-2010: Chapter A" (PDF). American Academy of Arts and Sciences. Retrieved 27 April 2011.
  5. "Philip Auslander". School of Literature, Media, and Communication, Georgia Tech.
  6. Stenger, Allen (26 November 2014). "Review of Groups, rings, modules by Maurice Auslander and David Buchsbaum". MAA Reviews, Mathematical Association of America.
  7. Ringel, Claus Michael (1996). "Review of Representation theory of Artin algebras by Maurice Auslander, Idun Reiten, and Sverre Smalø" (PDF). Bull. Amer. Math. Soc. (N.S.). 33 (4): 509–517.

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