Kevin McCrimmon

Q: What Schools Are Affiliated With Kevin McCrimmon

Kevin McCrimmon is affiliated with the following schools: University of California, Berkeley, Reed College, Yale University, Stanford University, University of Virginia

Kevin McCrimmon's AcademicInfluence.com Rankings

Kevin McCrimmon

Mathematics

#3209

World Rank

#4789

Historical Rank

Measure Theory

#2642

World Rank

#3162

Historical Rank

mathematics Degrees

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Mathematics

Kevin McCrimmon's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley

Why Is Kevin McCrimmon Influential?

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According to Wikipedia, Kevin Mor McCrimmon 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. He received his Ph.D. from Yale University in 1965 with thesis Norms and Noncommutative Jordan Algebras supervised by Nathan Jacobson. 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. 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 , 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.

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Kevin McCrimmon's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A Taste of Jordan Algebras (2003) (444)
The Freudenthal-Springer-Tits constructions of exceptional Jordan algebras (1969) (153)
The structure of strongly prime quadratic Jordan algebras (1988) (127)
A general theory of jordan rings. (1966) (94)
On Herstein's theorems relating Jordan and associative algebras (1969) (67)
The radical of a jordan algebra. (1969) (66)
Inner ideals in quadratic Jordan algebras (1971) (65)
Jordan algebras and their applications (1978) (63)
Nonassociative algebras with scalar involution (1985) (57)
Maximal modular inner ideals and the Jacobson radical of a Jordan algebra (1981) (53)
Homotopes of alternative algebras (1971) (47)
The Local Algebras of Jordan Systems (1995) (46)
Seminormality and root closure in polynomial rings and algebraic curves (1979) (46)
The Freudenthal-Springer-Tits constructions revisited (1970) (45)
Speciality and non-speciality of two Jordan superalgebras (1992) (44)
Noncommutative Jordan rings (1971) (43)
Structure and representations of noncommutative Jordan algebras (1966) (43)
Norms and noncommutative Jordan algebras (1965) (42)
The Range of a Structural Projection (1996) (37)
A characterization of the radical of a Jordan algebra (1971) (34)
The Zelmanov approach to Jordan homomorphisms of associative algebras (1989) (33)
An elemental characterization of strong primeness in Jordan systems (1996) (31)
Compatible Peirce decompositions of Jordan triple systems (1982) (28)
The Structure of Quadratic Jordan Systems of Clifford Type (2000) (28)
Quadratic Jordan algebras and cubing operations (1971) (27)
Generically algebraic algebras (1967) (27)
The kantor doubling process revisited (1995) (25)
Speciality of jordan triple systems (1977) (22)
Peirce ideals in Jordan triple systems. (1979) (22)
Macdonald’s theorem for quadratic Jordan algebras (1970) (21)
Zelmanov's prime theorem for quadratic Jordan algebras (1982) (19)
Coordinatization of jordan triple systems (1981) (18)
Macdonald's theorem with inverses. (1967) (18)
A characterization of the Jacobson-Smiley radical (1971) (16)
Axioms for inversion in Jordan algebras (1977) (16)
Representations of quadratic Jordan algebras (1971) (16)
Finite power-associative division rings (1966) (15)
Strong Primeness of Hermitian Jordan Systems (1997) (14)
Peirce ideals in Jordan algebras. (1978) (14)
Jordan algebras of degree 1 (1964) (13)
The Zelmanov annihilator and nilpotence of the Nil radical in quadratic Jordan algebras with chain conditions (1980) (13)
Speciality of quadratic Jordan algebras (1971) (12)
A proof of Schafer's conjecture for infinite-dimensional forms admitting composition (1967) (11)
Amitsur shrinkage of jordan radicals (1984) (11)
Alternative algebras satisfying polynomial identities (1973) (11)
Quadratic forms permitting triple composition (1983) (11)
Nondegenerate Jordan rings are von Neumann regular (1969) (10)
Quadratic Jordan algebras whose elements are all invertible or nilpotent (1972) (10)
Malcev's theorem for jordan algebras (1977) (10)
Jordan algebras :: proceedings of the conference held in Oberwolfach, Germany, August 9-15, 1992 (1994) (9)
Reduced elements in Jordan triple systems (1985) (9)
Localization of jordan algebras (1978) (9)
Derivations and Cayley derivations of generalized Cayley-Dickson algebras (1985) (9)
Minimal ideals in quadratic Jordan algebras (1983) (9)
A note on finite division rings (1969) (8)
Jordan algebras with interconnected idempotents (1968) (8)
Absolute zero divisors and local nilpotence in alternative algebras (1975) (8)
Deep Matrices and their Frankenstein Actions (2006) (8)
Coordinatization of triangulated Jordan systems (1988) (8)
Middle nucleus=center in semiprime Jordan algebras (1982) (7)
Speciality and reflexivity of quadratic jordan algebras (1977) (7)
A note on quasi-associative algebras (1966) (7)
Imbedding nondegenerate Jordan algebras in semiprimitive algebras (1988) (7)
Bimodules for composition algebras. (1966) (6)
The Zelmanov nilpotence theorem for quadratic Jordan algebras (1980) (6)
Adjoints and jordan algebras (1985) (6)
On a class of noncommutative Jordan algebras. (1966) (6)
Finitely Deep Matrices (2008) (5)
The splittest Kac superalgebra K10 (2007) (5)
Malcev's theorem for alternative algebras (1974) (5)
Outer fractions in quadratic Jordan algebras (2007) (5)
Homotopes of noncommutative Jordan algebras (1971) (5)
Koecher’s principle for quadratic Jordan algebras (1971) (4)
Martindale quotients of Jordan algebras (2009) (4)
A NOTE ON REDUCED JORDAN ALGEBRAS (1968) (4)
Outer Inheritance of Simplicity in Jordan Systems (2004) (3)
The Role of Identities in Jordan AIgebras (2004) (3)
Properness, strictness, and nilness in jordan systems (1999) (3)
Imbedding Jordan systems in primitive systems (2016) (3)
Grassmann speciality of Jordan supersystems (2004) (3)
Generic Jordan Polynomials (2008) (3)
Enumeration of the Positive Rationals (1960) (2)
Involutions on Rectangular Jordan Pairs (2000) (2)
Little jordan clofford algebras (1999) (2)
Semiprimeness of special Jordan algebras (1986) (2)
Noncommutative Jordan division algebras (1972) (2)
Outer inheritance in jordan algebras (1999) (2)
Finite-dimensional left Moufang algebras (1976) (1)
G8 and G9 are equivalent jordan S-identities (1989) (1)
Strong nilpotence of solvable ideals in quadratic Jordan algebras (1983) (1)
Invariance of jordan radicals (1984) (1)
Review: Ottmar Loos, Jordan pairs (1978) (1)
Strict proper nilness modulo an absorber (1999) (1)
Trivial minimal ideals of Jordan systems (2011) (1)
A basic associativity theorem for alternative algebras (1979) (1)
The Role of Identities in (2012) (0)
Associative systems generated by symmetric elements of a system with involution (2019) (0)
Graded Lie Algebras Defined by Jordan Algebras and Their Representations (2004) (0)
( 1910 – 1999 ) (2000) (0)
Quadratic Jordan algebras whose elements are all regular or nilpotent (1974) (0)
KOECHER'S PRINCIPLE FOR QUADRATIC (2010) (0)
KOECHER'S PRINCIPLE FOR QUADRATIC (2010) (0)
OF THE AMERICAN MATHEMATICAL SOCIETY Volume 84 , Number 4 , July 1978 JORDAN ALGEBRAS AND THEIR APPLICATIONS BY (2007) (0)
Errata List for “A Taste of Jordan Algebras” (2008) (0)

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What Schools Are Affiliated With Kevin McCrimmon?

Kevin McCrimmon is affiliated with the following schools:

Kevin McCrimmon's Academic­Influence.com Rankings