George Bergman

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.

He was designated a member of the Inaugural Class of Fellows of the American Mathematical Society in 2013.

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