Maurice Auslander was an American mathematician who worked on commutative algebra and homological algebra. He proved the Auslander–Buchsbaum theorem

Auslander–Buchsbaum theorem

In commutative algebra, the Auslander–Buchsbaum theorem states that regular local rings are unique factorization domains.The theorem was first proved by . They showed that regular local rings of dimension 3 are unique factorization domains, and had previously shown that this implies that all...

 that regular local rings are factorial, the Auslander–Buchsbaum formula

Auslander–Buchsbaum formula

In commutative algebra, the Auslander–Buchsbaum formula, introduced by , states that if R is a commutative Noetherian local ring and M is a finitely generated R-module of finite projective dimension, then...

, and introduced Auslander–Reiten theory

Auslander–Reiten theory

In algebra, Auslander–Reiten theory studies the representation theory of Artinian rings using techniques such as Auslander–Reiten sequences and Auslander–Reiten quivers. Auslander–Reiten theory was introduced by and developed by them in several subsequent papers.For survey articles on...

 and Auslander algebra

Auslander algebra

In mathematics, the Auslander algebra of an algebra A is the endomorphism ring of the sum of the indecomposable modules of A. It was introduced by ....

s.

Born in Brooklyn

Brooklyn

Brooklyn is the most populous of New York City's five boroughs, with nearly 2.6 million residents, and the second-largest in area. Since 1896, Brooklyn has had the same boundaries as Kings County, which is now the most populous county in New York State and the second-most densely populated...

, New York

New York

New York is a state in the Northeastern region of the United States. It is the nation's third most populous state. New York is bordered by New Jersey and Pennsylvania to the south, and by Connecticut, Massachusetts and Vermont to the east...

, Auslander received his bachelor's degree and his Ph.D. (1954) from Columbia University

Columbia University

Columbia University in the City of New York is a private, Ivy League university in Manhattan, New York City. Columbia is the oldest institution of higher learning in the state of New York, the fifth oldest in the United States, and one of the country's nine Colonial Colleges founded before the...

. He was a professor at Brandeis University

Brandeis University

Brandeis University is an American private research university with a liberal arts focus. It is located in the southwestern corner of Waltham, Massachusetts, nine miles west of Boston. The University has an enrollment of approximately 3,200 undergraduate and 2,100 graduate students. In 2011, it...

 from 1957 until his death in Trondheim

Trondheim

Trondheim , historically, Nidaros and Trondhjem, is a city and municipality in Sør-Trøndelag county, Norway. With a population of 173,486, it is the third most populous municipality and city in the country, although the fourth largest metropolitan area. It is the administrative centre of...

, Norway

Norway

Norway , officially the Kingdom of Norway, is a Nordic unitary constitutional monarchy whose territory comprises the western portion of the Scandinavian Peninsula, Jan Mayen, and the Arctic archipelago of Svalbard and Bouvet Island. Norway has a total area of and a population of about 4.9 million...

 aged 68. He was elected a Fellow of the American Academy of Arts and Sciences

American Academy of Arts and Sciences

The American Academy of Arts and Sciences is an independent policy research center that conducts multidisciplinary studies of complex and emerging problems. The Academy’s elected members are leaders in the academic disciplines, the arts, business, and public affairs.James Bowdoin, John Adams, and...

 in 1971.

External links

• Maurice Auslander Distinguished Lectures
• Maurice Auslander, Mathematician, 68, New York Times obituary