Kevin McCrimmon

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Kevin Mor McCrimmon (* 1941 ) is an American mathematician .

McCrimmon grew up in Champaign-Urbana. In 1960 he received his bachelor's degree from Reed College in Portland and received his doctorate in 1965 with Nathan Jacobson at Yale University (Norms and Noncommutative Jordan Algebras). In 1964/65 he spent a year in algebra at the University of Chicago , where alongside Nathan Jacobson the algebraists Abraham Adrian Albert , Irving Kaplansky , Israel Herstein , Shimshon Amitsur , Daniel Zelinsky , Richard Schafer and Paul Cohn taught. As a post-doctoral studenthe was at MIT with Richard Schafer, where he was a Moore instructor in 1966. From 1967 he was at the University of Virginia , where he was an associate professor in 1968 and a professor in 1972. From 1972 to 1975 he headed the mathematics faculty. In 1968 he received a research grant from the Alfred P. Sloan Foundation ( Sloan Research Fellowship ).

He deals with Jordan algebras . In 1966 he introduced quadratic Jordan algebras.

In 1974 he was a lecturer at the International Congress of Mathematicians in Vancouver (Quadratic methods in nonassociative algebras). In 1977 he was awarded a Humboldt Research Prize at the University of Münster with Max Koecher . In 1984 he was visiting scholar in Munich with Kurt Meyberg and in 1990 in Ottawa, Bombay and Oxford. Since 1982 he has also been the co-organizer of conferences on Jordan algebras in Oberwolfach. In 2017 he became a Fellow of the American Mathematical Society .

Fonts

  • with Richard D. Schafer: On a class of noncommutative Jordan algebras, Proceedings of the National Academy of Sciences USA, Volume 56, 1966, pp. 1-4
  • A general theory of Jordan rings, Proceedings of the National Academy of Sciences USA, Vol. 56, 1966, pp. 1072-1079
  • The radical of a Jordan algebra, Proceedings of the National Academy of Sciences USA, Vol. 62, 1969, pp. 671-678
  • The Freudenthal-Springer-Tits constructions of exceptional Jordan algebras, Transactions of the American Mathematical Society, Volume 139, 1969, pp. 495-510
  • On Herstein's theorems relating Jordan and associative algebras, Journal of Algebra, Volume 13, 1969, pp. 382-392.
  • Noncommutative Jordan rings, Transactions of the American Mathematical Society, Volume 158, 1971, pp. 1-33.
  • Inner ideals in quadratic Jordan algebras, Transactions of the American Mathematical Society, Volume 159, 1971, pp. 445-468.
  • Jordan algebras and their applications, Bulletin of the American Mathematical Society, Volume 84, 1978, pp. 612-627
  • with Leslie Hogben: "Maximal modular inner ideals and the Jacobson radical of a Jordan algebra, Journal of Algebra, Volume 68, 1981, pp. 155-169.
  • with Efim Zelmanov : The structure of strongly prime quadratic Jordan algebras, Advances in Mathematics, Volume 69, 1988, pp. 133-222.
  • A taste of Jordan algebras, Springer 2006

Web links

Individual evidence

  1. ↑ Kevin McCrimmon in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME McCrimmon, Kevin
ALTERNATIVE NAMES McCrimmon, Kevin Mor
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1941