David Kent Harrison (original) (raw)

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American mathematician

David Kent Harrison (6 April 1931, Massachusetts – 21 December 1999, Barnstable, Massachusetts) was an American mathematician, specializing in algebra, particularly homological algebra and valuation theory.

He completed his Ph.D. at Princeton University in 1957; his dissertation, titled On torsion free abelian groups, was written under the supervision of Emil Artin.[1]

Harrison was a faculty member from 1959 to 1963 at the University of Pennsylvania[2] and from 1963 to 1993 at the University of Oregon, retiring there as professor emeritus in 1993.[3]

He developed a commutative cohomology theory for commutative algebras.[4] Along with his colleague Marie A. Vitulli, he developed a unified valuation theory for rings with zero divisors that generalized both Krull and Archimedean valuations.[5]

He was a Guggenheim Fellow for the academic year 1963–1964.[6] He supervised 28 doctoral students including Joel Cunningham.[1] Ann Hill Harrison endowed the Harrison Memory Award for outstanding mathematical students at the University of Oregon.[3] He is survived by his son, composer and pianist Michael Harrison, a Guggenheim Fellow for the academic year 2018–2019,[7] and his daughter Jo Ellen Harrison.

Selected publications

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• Harrison, D. K. (1959). "Infinite abelian groups and homological methods". Annals of Mathematics. 69 (2): 366–391. doi:10.2307/1970188. hdl:10338.dmlcz/101186. JSTOR 1970188.
• Harrison, D. K. (1963). "Abelian extensions of arbitrary fields". Transactions of the American Mathematical Society. 106 (2): 230–235. doi:10.1090/S0002-9947-1963-0142545-X.
• with J. M. Irwin, C. L. Peercy, and E. A. Walker: Harrison, D. K.; Irwin, J. M.; Peercy, C. L.; Walker, E. A. (1963). "High extensions of Abelian groups". Acta Mathematica Hungarica. 14 (3–4): 319–330. doi:10.1007/BF01895718. S2CID 117185748.
• "On the structure of Ext". In: Abelian Groups (Proc. Sympos., New Mexico State Univ., 1962). 1963. pp. 195–209.
• Abelian extensions of commutative rings. American Mathematical Society. 1965.
• with Stephen U. Chase and Alex F. T. W. Rosenberg: Galois theory and cohomology of commutative rings. American Mathematical Society. 1965.
• Finite and infinite primes for rings and fields. Memoirs of the American Mathematical Society, No. 68. 1966; 62 pp.{{[cite book](/wiki/Template:Cite%5Fbook "Template:Cite book")}}: CS1 maint: postscript (link)
• with Joel Cunningham: Witt rings. Department of Mathematics, University of Kentucky. 1970.
• with Hoyt D. Warner: Harrison, David; Warner, Hoyt (1973). "Infinite primes of fields and completions". Pacific Journal of Mathematics. 45 (1): 201–216. doi:10.2140/pjm.1973.45.201.
• Harrison, D.K (1975). "A Grothendieck ring of higher degree forms" (PDF). Journal of Algebra. 35 (1–3): 123–138. doi:10.1016/0021-8693(75)90039-3.
• Harrison, David (1979). "Double coset and orbit spaces". Pacific Journal of Mathematics. 80 (2): 451–491. doi:10.2140/pjm.1979.80.451.
• Harrison, D. K. (1985). "Bipowers in number fields". Proceedings of the American Mathematical Society. 95 (2): 174–178. doi:10.1090/S0002-9939-1985-0801318-2.
  • Harrison, D. K. (1986). "Erratum to: Bipowers in number fields". Proceedings of the American Mathematical Society. 97 (2): 378. doi:10.1090/S0002-9939-1986-0835904-1.
• with Cornelius Greither: "A Galois correspondence for radical extensions of fields" (PDF). Journal of Pure and Applied Algebra. 46: 257–270. 1986.
• with Bodo Pareigis: "Witt rings of higher degree forms". Communications in Algebra. 16 (6): 1275–1313. 1985.
• with M. A. Vitulli: Harrison, D.K.; Vltulli, M A. (1989). "Complex-valued places and CMC subsets of a field". Communications in Algebra. 17 (10): 2529–2537. doi:10.1080/00927878908823860.
• with Frank DeMeyer and Rick Miranda: Demeyer, Frank; Harrison, David; Miranda, Rick (1989). Quadratic forms over Q and Galois extensions of commutative rings. Memoirs of the American Mathematical Society, Volume 77, Number 394. Providence, Rhode Island. ISBN 9780821824573.{{[cite book](/wiki/Template:Cite%5Fbook "Template:Cite book")}}: CS1 maint: location missing publisher (link)
• with C. Greither: Greither, Cornelius; Harrison, D. K. (1989). "On the monoid of tame extensions". Transactions of the American Mathematical Society. 311 (2): 657–682. doi:10.1090/S0002-9947-1989-0978371-7.

1. ^ a b David Kent Harrison at the Mathematics Genealogy Project
2. ^ "Faculty History". Department of Mathematics, University of Pennsylvania.
3. ^ a b "Former Faculty". Department of Mathematics, University of Oregon.
4. ^ Harrison, D. K. (1962). "Commutative Algebras and Cohomology". Transactions of the American Mathematical Society. 104 (2): 191–204. doi:10.1090/S0002-9947-1962-0142607-6. MR 0142607. Retrieved 3 April 2020.
5. ^ Harrison, D. K.; Vitulli, Marie A. (1989). "V-Valuations of a Commutative Ring I". J. Algebra. 65 (3): 264–292. doi:10.1016/0021-8693(89)90305-0. MR 1024992.
6. ^ "David Kent Harrison". John Simon Guggenheim Memorial Foundation.
7. ^ "Michael Harrison". John Simon Guggenheim Memorial Foundation.

• "Princeton University (1953-1956). Mathematics & Physics". "Biographical Sketch of Hugh Everett, III" by Eugene Shikhovtsev, space.mit.edu. (1955 photograph of, left to right, Charles W. Misner, Hale Trotter, Niels Bohr, Hugh Everett III, and David Harrison)
• David K. Harrisons's Author Profile Page on MathSciNet