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Kevin McCrimmon

January 14, 2023

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.[1] He received his Ph.D. from Yale University in 1965 with thesis Norms and Noncommutative Jordan Algebras supervised by Nathan Jacobson.[2] McCrimmon spent his final year as a graduate student at the University of Chicago,[1] when Nathan Jacobson spent a year of unpaid leave visiting Chicago and Japan for the academic year 1964–1965.[3] 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.[1] He was chair of the mathematics department from 1972 to 1975.[1]

McCrimmon was a Sloan Fellow in 1968 and an Invited Speaker of the International Congress of Mathematicians in 1974 in Vancouver.[4] He spent several years on sabbatical in Europe.[1] He was elected a Fellow of the American Mathematical Society in 2017.

Selected publications

  • with Richard D. Schafer: "On a class of noncommutative Jordan algebras". Proceedings of the National Academy of Sciences of the United States of America. 56 (1): 1–4. 1966. doi:10.1073/pnas.56.1.1. PMC 285663.
  • "A general theory of Jordan rings". Proceedings of the National Academy of Sciences of the United States of America. 56 (4): 1072–1079. 1966. doi:10.1073/pnas.56.4.1072. PMC 220000.
  • "The radical of a Jordan algebra". Proceedings of the National Academy of Sciences of the United States of America. 62 (3): 671–678. 1969. doi:10.1073/pnas.62.3.671. PMC 223650.
  • "The Freudenthal-Springer-Tits constructions of exceptional Jordan algebras". Transactions of the American Mathematical Society. 139: 495–510. 1969. doi:10.2307/1995337.
  • "On Herstein's theorems relating Jordan and associative algebras". Journal of Algebra. 13 (3): 382–392. 1969. doi:10.1016/0021-8693(69)90081-7.
  • "Noncommutative Jordan rings". Transactions of the American Mathematical Society. 158: 1–33. 1971. doi:10.1090/S0002-9947-1971-0310024-7.
  • "Inner ideals in quadratic Jordan algebras". Transactions of the American Mathematical Society. 159: 445–468. 1971. doi:10.1090/S0002-9947-1971-0279145-1.
  • "Jordan algebras and their applications". Bulletin of the American Mathematical Society. 84 (4): 612–627. 1978. doi:10.1090/S0002-9904-1978-14503-0.
  • with Leslie Hogben: "Maximal modular inner ideals and the Jacobson radical of a Jordan algebra". Journal of Algebra. 68 (1): 155–169. 1981. doi:10.1016/0021-8693(81)90291-X.
  • with Ephim Zel'manov: "The structure of strongly prime quadratic Jordan algebras". Advances in Mathematics. 69 (2): 133–222. 1988. doi:10.1016/0001-8708(88)90001-1.
  • A taste of Jordan algebras. Universitext. Springer Science & Business Media. 2006. doi:10.1007/b97489.[5][6][7]

References

  1. ^ a b c d e "Kevin McCrimmon, Biographical Sketch". pi.math.virginia.edu/Faculty.
  2. ^ Kevin Mor McCrimmon at the Mathematics Genealogy Project
  3. ^ O'Connor, John J.; Robertson, Edmund F., "Nathan Jacobson", MacTutor History of Mathematics archive, University of St Andrews
  4. ^ McCrimmon, Kevin. "Quadratic methods in nonassociative algebras." In International Congress of Mathematicians, Vancouver, 1974. Proceedings, vol. 1, pp. 325–330. 1975.
  5. ^ Bertram, Wolfgang (March 2005). "Review of A Taste of Jordan Algebras by Kevin McCrimmon" (PDF). SIAM Review. 47 (1): 172–174. JSTOR 20453611.
  6. ^ Berg, Michael (19 November 2004). "Joint review of Mathematical Foundations of Quantum Mechanics by George W. Mackey and A Taste of Jordan Algebras by Kevin McCrimmon". MAA Reviews, maa.org.
  7. ^ "A Taste of Jordan Algebras" by Kevin McCrimmon, bokus.com

January 14, 2023
kevin, mccrimmon, kevin, mccrimmon, born, september, 1941, american, mathematician, specializing, jordan, algebras, known, introduction, quadratic, jordan, algebras, 1966, mccrimmon, attended, secondary, school, champaign, urbana, illinois, then, received, bac. 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 1 He received his Ph D from Yale University in 1965 with thesis Norms and Noncommutative Jordan Algebras supervised by Nathan Jacobson 2 McCrimmon spent his final year as a graduate student at the University of Chicago 1 when Nathan Jacobson spent a year of unpaid leave visiting Chicago and Japan for the academic year 1964 1965 3 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 1 He was chair of the mathematics department from 1972 to 1975 1 McCrimmon was a Sloan Fellow in 1968 and an Invited Speaker of the International Congress of Mathematicians in 1974 in Vancouver 4 He spent several years on sabbatical in Europe 1 He was elected a Fellow of the American Mathematical Society in 2017 Selected publications Editwith Richard D Schafer On a class of noncommutative Jordan algebras Proceedings of the National Academy of Sciences of the United States of America 56 1 1 4 1966 doi 10 1073 pnas 56 1 1 PMC 285663 A general theory of Jordan rings Proceedings of the National Academy of Sciences of the United States of America 56 4 1072 1079 1966 doi 10 1073 pnas 56 4 1072 PMC 220000 The radical of a Jordan algebra Proceedings of the National Academy of Sciences of the United States of America 62 3 671 678 1969 doi 10 1073 pnas 62 3 671 PMC 223650 The Freudenthal Springer Tits constructions of exceptional Jordan algebras Transactions of the American Mathematical Society 139 495 510 1969 doi 10 2307 1995337 On Herstein s theorems relating Jordan and associative algebras Journal of Algebra 13 3 382 392 1969 doi 10 1016 0021 8693 69 90081 7 Noncommutative Jordan rings Transactions of the American Mathematical Society 158 1 33 1971 doi 10 1090 S0002 9947 1971 0310024 7 Inner ideals in quadratic Jordan algebras Transactions of the American Mathematical Society 159 445 468 1971 doi 10 1090 S0002 9947 1971 0279145 1 Jordan algebras and their applications Bulletin of the American Mathematical Society 84 4 612 627 1978 doi 10 1090 S0002 9904 1978 14503 0 with Leslie Hogben Maximal modular inner ideals and the Jacobson radical of a Jordan algebra Journal of Algebra 68 1 155 169 1981 doi 10 1016 0021 8693 81 90291 X with Ephim Zel manov The structure of strongly prime quadratic Jordan algebras Advances in Mathematics 69 2 133 222 1988 doi 10 1016 0001 8708 88 90001 1 A taste of Jordan algebras Universitext Springer Science amp Business Media 2006 doi 10 1007 b97489 5 6 7 References Edit a b c d e Kevin McCrimmon Biographical Sketch pi math virginia edu Faculty Kevin Mor McCrimmon at the Mathematics Genealogy Project O Connor John J Robertson Edmund F Nathan Jacobson MacTutor History of Mathematics archive University of St Andrews McCrimmon Kevin Quadratic methods in nonassociative algebras In International Congress of Mathematicians Vancouver 1974 Proceedings vol 1 pp 325 330 1975 Bertram Wolfgang March 2005 Review of A Taste of Jordan Algebras by Kevin McCrimmon PDF SIAM Review 47 1 172 174 JSTOR 20453611 Berg Michael 19 November 2004 Joint review of Mathematical Foundations of Quantum Mechanics by George W Mackey and A Taste of Jordan Algebras by Kevin McCrimmon MAA Reviews maa org A Taste of Jordan Algebras by Kevin McCrimmon bokus com Retrieved from https en wikipedia org w index php title Kevin McCrimmon amp oldid 1124128686, wikipedia, wiki, book, books, library,

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