George Mark Bergman
|Born||July 22, 1943|
|Alma mater||Harvard University|
|Institutions||University of California, Berkeley|
|Doctoral advisor||John Tate Jr|
George Mark Bergman, born on 22 July 1943 in Brooklyn, New York, is an American mathematician. He attended Stuyvesant High School in New York City and received his Ph.D. from Harvard University in 1968, under the direction of John Tate. The year before he had been appointed Assistant Professor of mathematics at the University of California, Berkeley, where he has taught ever since, being promoted to Associate Professor in 1974 and to Professor in 1978.
His primary research area is algebra, in particular associative rings, universal algebra, category theory and the construction of counterexamples. Mathematical logic is an additional research area. Bergman officially retired in 2009, but is still teaching. His interests beyond mathematics include subjects as diverse as third-party politics and the works of James Joyce.
- An Invitation to General Algebra and Universal Constructions (updated 2016)
- Homomorphic images of pro-nilpotent algebras. Illinois J. Math., 55, 719-748. (2011)
- Generating infinite symmetric groups. Bull. London Math. Soc. 38 429-440. (2006)
- (with Adam O. Hausknecht) Co-groups and co-rings in categories of associative rings. Mathematical Surveys and Monographs, Vol. 45. American Mathematical Society Providence, RI x+388. (1996)
- Embedding rings in completed graded rings. IV. Commutative algebras. J. Algebra 84 No.1, 62-106. (1983)
- The diamond lemma for ring theory. Adv. in Math. 29 No.2, 178-218. (1978)
- Rational relations and rational identities in division rings. II. J. Algebra 43 No.1, 267-297. (1976)
- Coproducts and some universal ring constructions. Trans. Amer. Math. Soc. 200 33-88. (1974)