Maurice Auslander
{{short description|American mathematician}}
Maurice Auslander (August 3, 1926 – November 18, 1994) was an American mathematician{{Sfnm|1a1=O'Connor|1a2=Robertson|1loc=[http://www-history.mcs.st-andrews.ac.uk/Biographies/Auslander.html Maurice Auslander]}} 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.[http://www.ias.edu/people/cos/frontpage?page=6 Institute for Advanced Study: A Community of Scholars] {{webarchive|url=https://web.archive.org/web/20130106144400/http://www.ias.edu/people/cos/frontpage?page=6 |date=2013-01-06 }}
He was a professor at Brandeis University from 1957 until his death in Trondheim, Norway aged 68.{{cite web|title=Maurice Auslander, Mathematician, 68|url=https://www.nytimes.com/1994/12/10/obituaries/maurice-auslander-mathematician-68.html|work=New York Times|date=December 10, 1994|accessdate=27 April 2011}} He was elected a Fellow of the American Academy of Arts and Sciences in 1971.{{cite web|title=Book of Members, 1780-2010: Chapter A|url=http://www.amacad.org/publications/BookofMembers/ChapterA.pdf|publisher=American Academy of Arts and Sciences|accessdate=27 April 2011}}
Upon his death he was survived by his mother, his widow, a daughter, and a son. His widow Bernice L. Auslander (November 21, 1931 - June 18, 2022) was a professor emerita of mathematics at University of Massachusetts at Boston.{{cite web| date=June 18, 2022| title=Bernice Auslander| publisher=Chicago Jewish Funerals - Skokie Chapel; Chicago Tribune| url=https://www.legacy.com/us/obituaries/chicagotribune/name/bernice-auslander-obituary?id=35280742| accessdate=June 19, 2022}}{{cite web| publisher=Boston Globe| author=Pierce, Kathleen| date=February 26, 2012| title=Should it stay, or should it go? Downsizing during a move means making difficult decisions about what to keep |url=http://archive.boston.com/business/personalfinance/articles/2012/02/26/downsizing_forces_difficult_decisions_about_keepsakes_and_sentimental_treasures/| accessdate=January 26, 2020}} As of 2022, his son Philip Auslander is a professor in the School of Literature, Media, and Communication at Georgia Tech,{{cite web|title=Philip Auslander|website=School of Literature, Media, and Communication, Georgia Tech|url=https://www.lmc.gatech.edu/people/person/philip-auslander}} and his daughter Leora Auslander is a professor of history at the University of Chicago.{{cite web | url=http://history.uchicago.edu/faculty/auslander.shtml | title=Leora Auslander Professor of European Social History | publisher=University of Chicago Department of History | accessdate=March 11, 2012 | url-status=dead | archiveurl=https://web.archive.org/web/20120319165951/http://history.uchicago.edu/faculty/auslander.shtml | archivedate=March 19, 2012 }} Maurice Auslander's brother Louis Auslander was also a mathematician.{{Sfnm|1a1=O'Connor|1a2=Robertson|1loc=[http://www-history.mcs.st-andrews.ac.uk/Biographies/Auslander_Louis.html Louis Auslander]}}
Selected publications
{{Scholia}}
=Articles=
- with David Buchsbaum: Homological dimension in Noetherian rings, Trans. Amer. Math. Soc., vol. 85, 1957, pp. 390–405 {{doi|10.2307/1992937}}
- with Oscar Goldman: The Brauer group of a commutative ring, Trans. Amer. Math. Soc., vol. 97, no. 3, 1960, pp. 367–409 {{doi|10.2307/1993378}}
- [http://projecteuclid.org/euclid.ijm/1255631585 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 {{doi|10.1080/00927877508822046}}
- with Idun Reiten: On a generalized version of the Nakayama conjecture, Proc. Amer. Math. Soc., vol. 52, 1975, pp. 69–74 {{doi|10.1090/S0002-9939-1975-0389977-6}}
=Books=
- with Mark Bridger: [https://books.google.com/books?id=YsrTCQAAQBAJ Stable module theory], American Mathematical Society 1969
- with David Buchsbaum: Groups, rings, modules, Harper and Row 1974; {{cite book|title=Dover reprint|year=2014|isbn=978-0-486-49082-3 |url=https://books.google.com/books?id=VW2TAwAAQBAJ |last1=Auslander |first1=Maurice |last2=Buchsbaum |first2=David |publisher=Courier Corporation }}{{cite web|author=Stenger, Allen|date=26 November 2014|title=Review of Groups, rings, modules by Maurice Auslander and David Buchsbaum|website=MAA Reviews, Mathematical Association of America|url=https://www.maa.org/press/maa-reviews/groups-rings-modules}}
- 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}}{{cite journal|author=Ringel, Claus Michael|authorlink=Claus Michael Ringel|title=Review of Representation theory of Artin algebras by Maurice Auslander, Idun Reiten, and Sverre Smalø|journal=Bull. Amer. Math. Soc. (N.S.)|year=1996|volume=33|issue=4|pages=509–517|doi=10.1090/S0273-0979-96-00683-0|url=https://www.ams.org/journals/bull/1996-33-04/S0273-0979-96-00683-0/S0273-0979-96-00683-0.pdf|doi-access=free}}
References
;Notes
{{Reflist}}
;Sources
- {{Citation | last1=Auslander | first1=Maurice | editor1-last=Reiten | editor1-first=Idun | editor2-last=Smalø | editor2-first=Sverre O. | editor3-last=Solberg | editor3-first=Øyvind | title=Selected works of Maurice Auslander. Part 1 | url=https://books.google.com/books?isbn=0821809989 | publisher=American Mathematical Society | location=Providence, R.I. | isbn=978-0-8218-0998-3 | mr=1674397 | year=1999}}
- {{Citation | last1=Auslander | first1=Maurice | editor1-last=Reiten | editor1-first=Idun | editor2-last=Smalø | editor2-first=Sverre O. | editor3-last=Solberg | editor3-first=Øyvind | title=Selected works of Maurice Auslander. Part 2 | url=https://books.google.com/books?isbn=0821810006 | publisher=American Mathematical Society | location=Providence, R.I. | isbn=978-0-8218-1000-2 | mr=1674401 | year=1999}}
- {{Citation | last1=Peskine | first1=Christian | last2=Reiten | first2=Idun | title=Maurice Auslander (1926–1994) | url=https://www.ams.org/notices/199504/maurice.pdf | mr=1319276 | year=1995 | journal=Notices of the American Mathematical Society | issn=0002-9920 | volume=42 | issue=4 | pages=450–453}}
External links
- [https://web.archive.org/web/20110116150158/http://www.math.neu.edu/seminars/annual-events/auslander-lectures Maurice Auslander Distinguished Lectures]
- [https://www.nytimes.com/1994/12/10/obituaries/maurice-auslander-mathematician-68.html Maurice Auslander, Mathematician, 68], New York Times obituary
- {{MacTutor|id=Auslander|title=Maurice Auslander}}
- {{MathGenealogy|id=7568}}
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Category:20th-century American mathematicians
Category:Brandeis University faculty
Category:Columbia University alumni
Category:Fellows of the American Academy of Arts and Sciences
Category:Institute for Advanced Study visiting scholars
Category:Mathematicians from Brooklyn
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