David Kent Harrison

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

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.

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

He was a Guggenheim Fellow for the academic year 1963–1964. His doctoral students include Joel Cunningham. Ann Hill Harrison endowed the Harrison Memory Award for outstanding mathematical students at the University of Oregon.

Selected publications

• "Infinite abelian groups and homological methods". Annals of Mathematics. 69 (2): 366–391. 1959. doi:10.2307/1970188.
• "Commutative algebras and cohomology". Trans. Amer. Math. Soc. 104: 191–204. 1962. doi:10.1090/S0002-9947-1962-0142607-6.
• "Abelian extensions of arbitrary fields". Trans. Amer. Math. Soc. 106: 230–235. 1963. doi:10.1090/S0002-9947-1963-0142545-X.
• with J. M. Irwin, C. L. Peercy, and E. A. Walker: "High extensions of Abelian groups". Acta Mathematica Hungarica. 14 (3–4): 319–330. 1963. doi:10.1007/BF01895718.
• "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}}: CS1 maint: postscript (link)
• with Joel Cunningham: Witt rings. Department of Mathematics, University of Kentucky. 1970.
• with Hoyt D. Warner: "Infinite primes of fields and completions". Pacific Journal of Mathematics. 45 (1): 201–216. 1973. doi:10.2140/pjm.1973.45.201.
• "A Grothendieck ring of higher degree forms" (PDF). Journal of Algebra. 35 (1–3): 123–138. 1975.
• "Double coset and orbit spaces". Pacific Journal of Mathematics. 80 (2): 451–491. 1979. doi:10.2140/pjm.1979.80.451.
• "Bipowers in number fields". Proc. Amer. Math. Soc. 95: 174–178. 1985. doi:10.1090/S0002-9939-1985-0801318-2.
  • "Erratum to: Bipowers in number fields". Proc. Amer. Math. Soc. 97: 378. 1986. 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 Mathematics. 46: 257–270. 1986.
• with Bodo Pareigis: "Witt rings of higher degree forms". Communications in Algebra. 16 (6): 1275–1313. 1985.
• with Marie A. Vitulli: "V-valuations of a commutative ring, I" (PDF). Journal of Algebra. 126 (2): 264–292. 1989.
• with M. A. Vitulli: "Complex-valued places and CMC subsets of a field". Communications in Algebra. 17 (10): 2529–2537. 1989. doi:10.1080/00927878908823860.
• with Frank DeMeyer and Rick Miranda: Quadratic forms over Q and Galois extensions of commutative rings. Memoirs of the American Mathematical Society, Volume 77, Number 394. Providence, Rhode Island. 1989.{{cite book}}: CS1 maint: location missing publisher (link)
• with C. Greither: "On the monoid of tame extensions". Trans. Amer. Math. Soc. 311: 657–682. 1989. doi:10.1090/S0002-9947-1989-0978371-7.

External links

• "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)