David Kent Harrison

Born| 6 April 1931

Massachusetts

Died| 21 December 1999

Barnstable, Massachusetts

Alma mater| Princeton University
Occupation| mathematician
Awards| Guggenheim Fellowship

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 1970188.366-391&rft.date=1959&rft_id=info:hdl/10338.dmlcz/101186&rft_id=https://www.jstor.org/stable/1970188#id-name=JSTOR&rft_id=info:doi/10.2307/1970188&rft.aulast=Harrison&rft.aufirst=D.+K.&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* 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.230-235&rft.date=1963&rft_id=info:doi/10.1090/S0002-9947-1963-0142545-X&rft.aulast=Harrison&rft.aufirst=D.+K.&rft_id=https://doi.org/10.1090%2FS0002-9947-1963-0142545-X&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* 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 117185748.3–4&rft.pages=319-330&rft.date=1963&rft_id=info:doi/10.1007/BF01895718&rft_id=https://api.semanticscholar.org/CorpusID:117185748#id-name=S2CID&rft.aulast=Harrison&rft.aufirst=D.+K.&rft.au=Irwin,+J.+M.&rft.au=Peercy,+C.+L.&rft.au=Walker,+E.+A.&rft_id=https://doi.org/10.1007%2FBF01895718&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* "On the structure of Ext". In: Abelian Groups (Proc. Sympos., New Mexico State Univ., 1962). 1963. pp. 195–209.195-209&rft.date=1963&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* 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: Harrison, David; Warner, Hoyt (1973). "Infinite primes of fields and completions". Pacific Journal of Mathematics. 45 (1): 201–216\. doi:10.2140/pjm.1973.45.201.201-216&rft.date=1973&rft_id=info:doi/10.2140/pjm.1973.45.201&rft.aulast=Harrison&rft.aufirst=David&rft.au=Warner,+Hoyt&rft_id=https://doi.org/10.2140%2Fpjm.1973.45.201&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* 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)90039-3.1–3&rft.pages=123-138&rft.date=1975&rft_id=info:doi/10.1016/0021-8693(75)90039-3&rft.aulast=Harrison&rft.aufirst=D.K&rft_id=http://core.ac.uk/download/pdf/82089961.pdf&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* Harrison, David (1979). "Double coset and orbit spaces". Pacific Journal of Mathematics. 80 (2): 451–491\. doi:10.2140/pjm.1979.80.451.451-491&rft.date=1979&rft_id=info:doi/10.2140/pjm.1979.80.451&rft.aulast=Harrison&rft.aufirst=David&rft_id=https://doi.org/10.2140%2Fpjm.1979.80.451&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* Harrison, D. K. (1985). "Bipowers in number fields". Proceedings of the American Mathematical Society. 95 (2): 174–178\. doi:10.1090/S0002-9939-1985-0801318-2.174-178&rft.date=1985&rft_id=info:doi/10.1090/S0002-9939-1985-0801318-2&rft.aulast=Harrison&rft.aufirst=D.+K.&rft_id=https://doi.org/10.1090%2FS0002-9939-1985-0801318-2&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* 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\. 1986.257-270&rft.date=1986&rft_id=http://core.ac.uk/download/pdf/82551655.pdf&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* with Bodo Pareigis: "Witt rings of higher degree forms". Communications in Algebra. 16 (6): 1275–1313\. 1985.1275-1313&rft.date=1985&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* 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:10.1080/00927878908823860.2529-2537&rft.date=1989&rft_id=info:doi/10.1080/00927878908823860&rft.aulast=Harrison&rft.aufirst=D.K.&rft.au=Vltulli,+M+A.&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
* 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}}`: 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/S0002-9947-1989-0978371-7.657-682&rft.date=1989&rft_id=info:doi/10.1090/S0002-9947-1989-0978371-7&rft.aulast=Greither&rft.aufirst=Cornelius&rft.au=Harrison,+D.+K.&rft_id=https://doi.org/10.1090%2FS0002-9947-1989-0978371-7&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">

## References

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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 2020.191-204&rft.date=1962&rft_id=info:doi/10.1090/S0002-9947-1962-0142607-6&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=0142607#id-name=MR&rft.aulast=Harrison&rft.aufirst=D.+K.&rft_id=https://www.ams.org/journals/tran/1962-104-02/S0002-9947-1962-0142607-6/home.html&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
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 1024992.264-292&rft.date=1989&rft_id=info:doi/10.1016/0021-8693(89)90305-0&rft_id=https://mathscinet.ams.org/mathscinet-getitem?mr=1024992#id-name=MR&rft.aulast=Harrison&rft.aufirst=D.+K.&rft.au=Vitulli,+Marie+A.&rft_id=https://doi.org/10.1016%2F0021-8693%2889%2990305-0&rfr_id=info:sid/en.wikipedia.org:David+Kent+Harrison" class="Z3988">
6. ^ "David Kent Harrison". John Simon Guggenheim Memorial Foundation.
7. ^ "Michael Harrison". John Simon Guggenheim Memorial Foundation.

## External links

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* "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

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