George Bergman
{{Short description|American mathematician (born 1943)}}
{{Infobox scientist
| name = George Mark Bergman
| image = Bergman 2011.jpeg
| caption =
| birth_date = July 22, 1943
| birth_place = Brooklyn, New York
| death_date =
| death_place =
| nationality = American
| fields = Mathematics
| workplaces = University of California, Berkeley
| alma_mater = Harvard University
| doctoral_advisor = John Tate Jr
| doctoral_students =
| known_for = Bergman's diamond lemma
| awards =
}}
George Mark Bergman, born on 22 July 1943 in Brooklyn, New York,[http://math.berkeley.edu/~gbergman/misc/CV.txt CV Berkeley] is an American mathematician. He attended Stuyvesant High School in New York City{{Cite web |url=http://www.ourstrongband.org/history/timeline-1950.html |title=The Campaign for Stuyvesant |access-date=2014-08-09 |archive-url=https://web.archive.org/web/20150418040634/http://www.ourstrongband.org/history/timeline-1950.html |archive-date=2015-04-18 |url-status=usurped }} 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.[http://math.berkeley.edu/people/faculty/george-m-bergman Faculty website] His interests beyond mathematics include subjects as diverse as [http://math.berkeley.edu/~gbergman/misc/3rd_party.html 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.
{{cite web|url=https://www.ams.org/profession/ams-fellows/rnoti-p631.pdf
|title=Fellows of the AMS: Inaugural Class
|author=Jackson, Allyn
|publisher=American Mathematical Society
|date=2013-05-01
|access-date=2018-09-05}}
Selected bibliography
- {{citation
| title=An Invitation to General Algebra and Universal Constructions
| series=Universitext
| publisher=Springer
| date=2015
| doi=10.1007/978-3-319-11478-1| isbn=978-3-319-11477-4
}} ([http://math.berkeley.edu/~gbergman/245/3.3.pdf updated 2016])
- {{citation
| title=Homomorphic images of pro-nilpotent algebras
| journal=Illinois Journal of Mathematics
| volume=55
| issue=3
| pages=719–748
| date=2011
| doi=10.1215/ijm/1369841782 | doi-access=free| last1=Bergman
| first1=George M.
| arxiv=0912.0020
}}
- {{citation
| title=Generating infinite symmetric groups
| journal=Bulletin of the London Mathematical Society
| volume=38
| pages=429–440
| date=2006
| doi=10.1112/S0024609305018308
| arxiv=math/0401304| last1=Bergman
| first1=George M.
| issue=3
| s2cid=1892679
}}
- (with Adam O. Hausknecht) {{citation
| title=Co-groups and co-rings in categories of associative rings
| series=Mathematical Surveys and Monographs
| volume=45
| publisher=American Mathematical Society Providence, RI
| date=1996
| isbn=0-8218-0495-2}}
- {{citation
| title=Embedding rings in completed graded rings 4. Commutative algebras
| journal=Journal of Algebra
| volume=84
| issue=1
| pages=62–106
| date=1983
| doi=10.1016/0021-8693(83)90068-6 | doi-access=free| last1=Bergman
| first1=George M.
}}
- {{citation
| title=The diamond lemma for ring theory
| journal=Advances in Mathematics
| volume=29
| issue=2
| pages=178–218
| date=1978
| doi=10.1016/0001-8708(78)90010-5 | doi-access=free| last1=Bergman
| first1=George M.
}}
- {{citation
| title=Rational relations and rational identities in division rings. II
| journal=Journal of Algebra
| volume=43
| issue=1
| pages=267–297
| date=1976
| doi=10.1016/0021-8693(76)90160-5 | doi-access=free| last1=Bergman
| first1=George
}}
- {{citation
| title=Coproducts and some universal ring constructions
| journal=Transactions of the American Mathematical Society
| volume=200
| pages=33–88
| date=1974
| doi=10.1090/S0002-9947-1974-0357503-7 | doi-access=free| last1=Bergman
| first1=George M.
}}
References
External links
- {{MathGenealogy|32848}}
- [https://blogs.wsj.com/numbersguy/when-numbers-add-up-to-more-than-math-829/ Wall Street Journal article, Oct 27, 2009]
- [http://math.berkeley.edu/~gbergman/ UC Berkeley website]
{{Authority control}}
{{DEFAULTSORT:Bergman, George}}
Category:University of California, Berkeley College of Letters and Science faculty
Category:20th-century American mathematicians
Category:21st-century American mathematicians
Category:Stuyvesant High School alumni
Category:Harvard University alumni
Category:Academics from Brooklyn