David Kent Harrison
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| birth_date = 6 April 1931
| birth_place = Massachusetts
| death_date = 21 December 1999
| death_place = Barnstable, Massachusetts
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| alma_mater = Princeton University
| occupation = mathematician
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| awards = Guggenheim Fellowship
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{{short description|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.{{MathGenealogy|id=12418}}
Harrison was a faculty member from 1959 to 1963 at the University of Pennsylvania{{cite web|title=Faculty History|website=Department of Mathematics, University of Pennsylvania|url=http://www.math.upenn.edu/about/department-history/faculty-history}} and from 1963 to 1993 at the University of Oregon, retiring there as professor emeritus in 1993.{{cite web|title=Former Faculty|website=Department of Mathematics, University of Oregon|url=http://math.uoregon.edu/people/former-faculty}}
He developed a commutative cohomology theory for commutative algebras.{{cite journal |last1=Harrison |first1=D. K. |title=Commutative Algebras and Cohomology |journal=Transactions of the American Mathematical Society |date=1962 |volume=104| issue=2 |pages=191–204 |mr=0142607 |doi=10.1090/S0002-9947-1962-0142607-6 |url=https://www.ams.org/journals/tran/1962-104-02/S0002-9947-1962-0142607-6/home.html |accessdate=3 April 2020|doi-access=free }} 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.{{cite journal |last1=Harrison |first1=D. K. |last2=Vitulli |first2=Marie A. |title=V-Valuations of a Commutative Ring I |journal=J. Algebra |date=1989 |volume=65 |issue=3 |pages=264–292 |mr=1024992| doi=10.1016/0021-8693(89)90305-0 |doi-access=free }}
He was a Guggenheim Fellow for the academic year 1963–1964.{{cite web|title=David Kent Harrison|website=John Simon Guggenheim Memorial Foundation|url=https://www.gf.org/fellows/all-fellows/david-kent-harrison/}} He supervised 28 doctoral students including Joel Cunningham. Ann Hill Harrison endowed the Harrison Memory Award for outstanding mathematical students at the University of Oregon. He is survived by his son, composer and pianist Michael Harrison, a Guggenheim Fellow for the academic year 2018–2019,{{cite web|title=Michael Harrison|website=John Simon Guggenheim Memorial Foundation|url=https://www.gf.org/fellows/all-fellows/michael-harrison/}} and his daughter Jo Ellen Harrison.
Selected publications
- {{cite journal|year=1959|title=Infinite abelian groups and homological methods|journal=Annals of Mathematics|volume=69|issue=2|pages=366–391|doi=10.2307/1970188|jstor=1970188|last1=Harrison|first1=D. K.|hdl=10338.dmlcz/101186|hdl-access=free}}
- {{cite journal|year=1963|doi=10.1090/S0002-9947-1963-0142545-X|title=Abelian extensions of arbitrary fields|journal=Transactions of the American Mathematical Society|volume=106|issue=2|pages=230–235|last1=Harrison|first1=D. K.|doi-access=free}}
- with J. M. Irwin, C. L. Peercy, and E. A. Walker: {{cite journal|year=1963|title=High extensions of Abelian groups|journal=Acta Mathematica Hungarica|volume=14|issue=3–4|pages=319–330|doi=10.1007/BF01895718|doi-access=free|last1=Harrison|first1=D. K.|last2=Irwin|first2=J. M.|last3=Peercy|first3=C. L.|last4=Walker|first4=E. A.|s2cid=117185748}}
- {{cite book|chapter=On the structure of Ext|title=In: Abelian Groups (Proc. Sympos., New Mexico State Univ., 1962)|year=1963|pages=195–209}}
- {{cite book|year=1965|title=Abelian extensions of commutative rings|publisher=American Mathematical Society}}
- with Stephen U. Chase and Alex F. T. W. Rosenberg: {{cite book|year=1965|title=Galois theory and cohomology of commutative rings|publisher=American Mathematical Society}}
- {{cite book|year=1966|title=Finite and infinite primes for rings and fields|series=Memoirs of the American Mathematical Society, No. 68|postscript=; 62 pp.}}
- with Joel Cunningham: {{cite book|year=1970|title=Witt rings|publisher=Department of Mathematics, University of Kentucky}}
- with Hoyt D. Warner: {{cite journal|year=1973|title=Infinite primes of fields and completions|journal=Pacific Journal of Mathematics|volume=45|issue=1|pages=201–216|doi=10.2140/pjm.1973.45.201|last1=Harrison|first1=David|last2=Warner|first2=Hoyt|doi-access=free}}
- {{cite journal|year=1975|title=A Grothendieck ring of higher degree forms|journal=Journal of Algebra|volume=35|issue=1–3|pages=123–138|url=http://core.ac.uk/download/pdf/82089961.pdf|doi=10.1016/0021-8693(75)90039-3|last1=Harrison|first1=D.K|doi-access=free}}
- {{cite journal|title=Double coset and orbit spaces|year=1979|journal=Pacific Journal of Mathematics|volume=80|issue=2|pages=451–491|doi=10.2140/pjm.1979.80.451|last1=Harrison|first1=David|doi-access=free}}
- {{cite journal|year=1985|doi=10.1090/S0002-9939-1985-0801318-2|title=Bipowers in number fields|journal=Proceedings of the American Mathematical Society|volume=95|issue=2|pages=174–178|last1=Harrison|first1=D. K.|doi-access=free}}
- {{cite journal|year=1986|doi=10.1090/S0002-9939-1986-0835904-1|title=Erratum to: Bipowers in number fields|journal=Proceedings of the American Mathematical Society|volume=97|issue=2|page=378|last1=Harrison|first1=D. K.|doi-access=free}}
- with Cornelius Greither: {{cite journal|year=1986|title=A Galois correspondence for radical extensions of fields|journal=Journal of Pure and Applied Algebra|volume=46|pages=257–270|url=http://core.ac.uk/download/pdf/82551655.pdf}}
- with Bodo Pareigis: {{cite journal|year=1985|title=Witt rings of higher degree forms|journal=Communications in Algebra|volume=16|issue=6|pages=1275–1313}}
- with M. A. Vitulli: {{cite journal|year=1989|title=Complex-valued places and CMC subsets of a field|journal=Communications in Algebra|volume=17|issue=10|pages=2529–2537|doi=10.1080/00927878908823860|last1=Harrison|first1=D.K.|last2=Vltulli|first2=M A.}}
- with Frank DeMeyer and Rick Miranda: {{cite book|year=1989|title=Quadratic forms over Q and Galois extensions of commutative rings|series=Memoirs of the American Mathematical Society, Volume 77, Number 394|location=Providence, Rhode Island|url=https://books.google.com/books?id=GV7UCQAAQBAJ|isbn=9780821824573|last1=Demeyer|first1=Frank|last2=Harrison|first2=David|last3=Miranda|first3=Rick}}
- with C. Greither: {{cite journal|year=1989|title=On the monoid of tame extensions|journal=Transactions of the American Mathematical Society|volume=311|issue=2|pages=657–682|doi=10.1090/S0002-9947-1989-0978371-7|last1=Greither|first1=Cornelius|last2=Harrison|first2=D. K.|doi-access=free}}
References
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External links
- {{cite web|title=Princeton University (1953-1956). Mathematics & Physics|website="Biographical Sketch of Hugh Everett, III" by Eugene Shikhovtsev, space.mit.edu|url=http://space.mit.edu/home/tegmark/everett/everett04_princeton.html}} (1955 photograph of, left to right, Charles W. Misner, Hale Trotter, Niels Bohr, Hugh Everett III, and David Harrison)
- David K. Harrisons's [https://www.ams.org/mathscinet/MRAuthorID/81665 Author Profile Page] on MathSciNet
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Category:20th-century American mathematicians
Category:Mathematicians from Massachusetts