Maurice Auslander Explained
Maurice Auslander (August 3, 1926 – November 18, 1994) was an American mathematician who worked on commutative algebra, homological algebra and the representation theory of Artin algebras (e.g. finite-dimensional associative algebras over a field). He proved the Auslander–Buchsbaum theorem that regular local rings are factorial, the Auslander–Buchsbaum formula, and, in collaboration with Idun Reiten, 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.[1] He was a professor at Brandeis University from 1957 until his death in Trondheim, Norway aged 68.[2] He was elected a Fellow of the American Academy of Arts and Sciences in 1971.[3]
Upon his death he was survived by his mother, his widow, a daughter, and a son.[2] His widow Bernice L. Auslander (November 21, 1931 - June 18, 2022) was a professor emerita of mathematics at University of Massachusetts at Boston.[4] [5] As of 2022, his son Philip Auslander is a professor in the School of Literature, Media, and Communication at Georgia Tech,[6] and his daughter Leora Auslander is a professor of history at the University of Chicago.[7] Maurice Auslander's brother Louis Auslander was also a mathematician.
Selected publications
Articles
- with David Buchsbaum: Homological dimension in Noetherian rings, Trans. Amer. Math. Soc., vol. 85, 1957, pp. 390–405
- with Oscar Goldman: The Brauer group of a commutative ring, Trans. Amer. Math. Soc., vol. 97, no. 3, 1960, pp. 367–409
- Modules over unramified regular local rings, Illinois J. Math., vol. 5, 1961, pp. 631–647
- with Idun Reiten: Representation theory of Artin algebras. III. Almost split sequences, Communications in Algebra, vol. 3, 1975, pp. 239–294
- with Idun Reiten: On a generalized version of the Nakayama conjecture, Proc. Amer. Math. Soc., vol. 52, 1975, pp. 69–74
Books
- with Mark Bridger: Stable module theory, American Mathematical Society 1969
- with David Buchsbaum: Groups, rings, modules, Harper and Row 1974; Book: Dover reprint. 2014. [8]
- with Idun Reiten and Sverre O. Smalø: Representation theory of Artin algebras, Cambridge Studies in Advanced Mathematics, 36, Cambridge University Press, 1995 [9]
References
- Notes
- Sources
External links
Notes and References
- http://www.ias.edu/people/cos/frontpage?page=6 Institute for Advanced Study: A Community of Scholars
- Web site: Maurice Auslander, Mathematician, 68. New York Times. December 10, 1994. 27 April 2011.
- Web site: Book of Members, 1780-2010: Chapter A. American Academy of Arts and Sciences. 27 April 2011.
- Web site: June 18, 2022. Bernice Auslander. Chicago Jewish Funerals - Skokie Chapel; Chicago Tribune. June 19, 2022.
- Web site: Boston Globe. Pierce, Kathleen. February 26, 2012. Should it stay, or should it go? Downsizing during a move means making difficult decisions about what to keep . January 26, 2020.
- Web site: Philip Auslander. School of Literature, Media, and Communication, Georgia Tech.
- Web site: Leora Auslander Professor of European Social History . University of Chicago Department of History . March 11, 2012 . dead . https://web.archive.org/web/20120319165951/http://history.uchicago.edu/faculty/auslander.shtml . March 19, 2012 .
- Web site: Stenger, Allen. 26 November 2014. Review of Groups, rings, modules by Maurice Auslander and David Buchsbaum. MAA Reviews, Mathematical Association of America.
- Ringel, Claus Michael. Claus Michael Ringel. Review of Representation theory of Artin algebras by Maurice Auslander, Idun Reiten, and Sverre Smalø. Bull. Amer. Math. Soc. (N.S.). 1996. 33. 4. 509–517. 10.1090/S0273-0979-96-00683-0. free.