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American mathematician
George Mark Bergman , born on 22 July 1943 in
Brooklyn ,
New York ,
[1] is an American
mathematician . He attended
Stuyvesant High School in
New York City
[2] 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.
[3] His interests beyond mathematics include subjects as diverse as
third-party politics and the works of
James Joyce .
He was designated a member of the Inaugural Class of Fellows of the
American Mathematical Society in 2013.
[4]
Selected bibliography
An Invitation to General Algebra and Universal Constructions , Universitext, Springer, 2015,
doi :
10.1007/978-3-319-11478-1 ,
ISBN
978-3-319-11477-4 (
updated 2016 )
Bergman, George M. (2011), "Homomorphic images of pro-nilpotent algebras",
Illinois Journal of Mathematics , 55 (3): 719–748,
arXiv :
0912.0020 ,
doi :
10.1215/ijm/1369841782
Bergman, George M. (2006), "Generating infinite symmetric groups", Bulletin of the London Mathematical Society , 38 (3): 429–440,
arXiv :
math/0401304 ,
doi :
10.1112/S0024609305018308 ,
S2CID
1892679
(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, 1996,
ISBN
0-8218-0495-2
Bergman, George M. (1983), "Embedding rings in completed graded rings 4. Commutative algebras",
Journal of Algebra , 84 (1): 62–106,
doi :
10.1016/0021-8693(83)90068-6
Bergman, George M. (1978), "The diamond lemma for ring theory",
Advances in Mathematics , 29 (2): 178–218,
doi :
10.1016/0001-8708(78)90010-5
Bergman, George (1976), "Rational relations and rational identities in division rings. II",
Journal of Algebra , 43 (1): 267–297,
doi :
10.1016/0021-8693(76)90160-5
Bergman, George M. (1974), "Coproducts and some universal ring constructions", Transactions of the American Mathematical Society , 200 : 33–88,
doi :
10.1090/S0002-9947-1974-0357503-7
References
External links
International National Academics People Other