Kevin McCrimmon
{{short description|American mathematician}}
Kevin Mor McCrimmon (born September 1941) is an American mathematician, specializing in Jordan algebras. He is known for his introduction of quadratic Jordan algebras in 1966.
McCrimmon attended secondary school in Champaign-Urbana, Illinois and then received his bachelor's degree in mathematics in 1960 from Reed College in Portland, Oregon.{{cite web|url=http://pi.math.virginia.edu/Faculty/McCrimmon/bio.htm|title=Kevin McCrimmon, Biographical Sketch|website=pi.math.virginia.edu/Faculty}} He received his Ph.D. from Yale University in 1965 with thesis Norms and Noncommutative Jordan Algebras supervised by Nathan Jacobson.{{MathGenealogy|id=7969|name=Kevin Mor McCrimmon}} McCrimmon spent his final year as a graduate student at the University of Chicago, when Nathan Jacobson spent a year of unpaid leave visiting Chicago and Japan for the academic year 1964–1965.{{MacTutor Biography|id=Jacobson|title=Nathan Jacobson}} As a postdoc, McCrimmon was at Massachusetts Institute of Technology from 1965 to 1967, for one year as an Air Force Research Laboratory Postdoctoral Fellow and for the next year as a C. L. E. Moore instructor. He became in 1967 a member of the Center for Advanced Studies at the University of Virginia (UVA), in 1968 an associate professor at UVA, and in 1972, a full professor at UVA, retiring there as professor emeritus. He was chair of the mathematics department from 1972 to 1975.
McCrimmon was a Sloan Fellow in 1968 and an Invited Speaker of the International Congress of Mathematicians in 1974 in Vancouver.McCrimmon, Kevin. "Quadratic methods in nonassociative algebras." In International Congress of Mathematicians, Vancouver, 1974. Proceedings, vol. 1, pp. 325–330. 1975. He spent several years on sabbatical in Europe. He was elected a Fellow of the American Mathematical Society in 2017.
Selected publications
- with Richard D. Schafer: {{cite journal
| title=On a class of noncommutative Jordan algebras
| journal=Proceedings of the National Academy of Sciences of the United States of America
| volume=56
| issue=1
| date=1966
| pages=1–4
| pmc=285663
| doi=10.1073/pnas.56.1.1 | doi-access=free
| last1=McCrimmon
| first1=K.
| last2=Schafer
| first2=R. D.
| pmid=5338591
| bibcode=1966PNAS...56....1M
}}
- {{cite journal
| title=A general theory of Jordan rings
| journal=Proceedings of the National Academy of Sciences of the United States of America
| volume=56
| issue=4
| date=1966
| pages=1072–1079
| pmc=220000
| doi=10.1073/pnas.56.4.1072 | doi-access=free
| last1=McCrimmon
| first1=Kevin
| pmid=16591377
| bibcode=1966PNAS...56.1072M
}}
- {{cite journal
| title=The radical of a Jordan algebra
| journal=Proceedings of the National Academy of Sciences of the United States of America
| volume=62
| issue=3
| date=1969
| pages=671–678
| pmc=223650
| doi=10.1073/pnas.62.3.671 | doi-access=free
| last1=McCrimmon
| first1=Kevin
| pmid=16591736
| bibcode=1969PNAS...62..671M
}}
- {{cite journal
| title=The Freudenthal-Springer-Tits constructions of exceptional Jordan algebras
| journal=Transactions of the American Mathematical Society
| volume=139
| date=1969
| pages=495–510
| doi=10.2307/1995337 | jstor=1995337
| doi-access=free
| last1=McCrimmon
| first1=Kevin
}}
- {{cite journal
| title=On Herstein's theorems relating Jordan and associative algebras
| journal=Journal of Algebra
| volume=13
| issue=3
| date=1969
| pages=382–392
| doi=10.1016/0021-8693(69)90081-7 | doi-access=free
| last1=McCrimmon
| first1=Kevin
}}
- {{cite journal
| title=Noncommutative Jordan rings
| journal=Transactions of the American Mathematical Society
| volume=158
| date=1971
| pages=1–33
| doi=10.1090/S0002-9947-1971-0310024-7 | doi-access=free
| last1=McCrimmon
| first1=Kevin
}}
- {{cite journal
| title=Inner ideals in quadratic Jordan algebras
| journal=Transactions of the American Mathematical Society
| volume=159
| date=1971
| pages=445–468
| doi=10.1090/S0002-9947-1971-0279145-1 | doi-access=free
| last1=McCrimmon
| first1=Kevin
}}
- {{cite journal
| title=Jordan algebras and their applications
| journal=Bulletin of the American Mathematical Society
| volume=84
| issue=4
| date=1978
| pages=612–627
| doi=10.1090/S0002-9904-1978-14503-0 | doi-access=free
| last1=McCrimmon
| first1=Kevin
}}
- with Leslie Hogben: {{cite journal
| title=Maximal modular inner ideals and the Jacobson radical of a Jordan algebra
| journal=Journal of Algebra
| volume=68
| issue=1
| date=1981
| pages=155–169
| doi=10.1016/0021-8693(81)90291-X | doi-access=free
| last1=Hogben
| first1=Leslie
| last2=McCrimmon
| first2=Kevin
}}
- with Ephim Zel'manov: {{cite journal
| title=The structure of strongly prime quadratic Jordan algebras
| journal=Advances in Mathematics
| volume=69
| issue=2
| date=1988
| pages=133–222
| doi=10.1016/0001-8708(88)90001-1 | doi-access=free
| last1=McCrimmon
| first1=Kevin
| last2=Zel'Manov
| first2=Ephim
}}
- {{cite book
| title=A taste of Jordan algebras
| publisher=Springer Science & Business Media
| series=Universitext
| date=2006
| doi=10.1007/b97489 | isbn=0-387-95447-3
| doi-access=free}}{{cite journal|author=Bertram, Wolfgang|title=Review of A Taste of Jordan Algebras by Kevin McCrimmon|journal=SIAM Review|date=March 2005|volume=47|issue=1|pages=172–174|jstor=20453611|url=http://www.iecl.univ-lorraine.fr/~Wolfgang.Bertram/siam.pdf|access-date=2018-02-07|archive-date=2018-02-08|archive-url=https://web.archive.org/web/20180208064159/http://www.iecl.univ-lorraine.fr/~Wolfgang.Bertram/siam.pdf|url-status=dead}}{{cite web|author=Berg, Michael|date=19 November 2004|title=Joint review of Mathematical Foundations of Quantum Mechanics by George W. Mackey and A Taste of Jordan Algebras by Kevin McCrimmon|website=MAA Reviews, maa.org|url=http://www.maa.org/publications/maa-reviews/a-taste-of-jordan-algebras}}[http://www.bokus.com/bok/9781441930033/a-taste-of-jordan-algebras/ "A Taste of Jordan Algebras" by Kevin McCrimmon, bokus.com]
References
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Category:20th-century American mathematicians
Category:21st-century American mathematicians
Category:Yale University alumni
Category:University of Virginia faculty
Category:Sloan Research Fellows
Category:Fellows of the American Mathematical Society
Category:Massachusetts Institute of Technology School of Science faculty