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Daniel E. Gorenstein (January 1, 1923 – August 26, 1992) was an American
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
. He earned his undergraduate and graduate degrees at
Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of high ...
, where he earned his Ph.D. in 1950 under
Oscar Zariski , birth_date = , birth_place = Kobrin, Russian Empire , death_date = , death_place = Brookline, Massachusetts, United States , nationality = American , field = Mathematics , work_institutions = ...
, introducing in his dissertation a duality principle for plane curves that motivated Grothendieck's introduction of
Gorenstein ring In commutative algebra, a Gorenstein local ring is a commutative Noetherian local ring ''R'' with finite injective dimension as an ''R''-module. There are many equivalent conditions, some of them listed below, often saying that a Gorenstein ring is ...
s. He was a major influence on the
classification of finite simple groups In mathematics, the classification of the finite simple groups is a result of group theory stating that every finite simple group is either cyclic, or alternating, or it belongs to a broad infinite class called the groups of Lie type, or else i ...
. After teaching mathematics to military personnel at Harvard before earning his doctorate, Gorenstein held posts at Clark University and Northeastern University before he began teaching at
Rutgers University Rutgers University (; RU), officially Rutgers, The State University of New Jersey, is a public land-grant research university consisting of four campuses in New Jersey. Chartered in 1766, Rutgers was originally called Queen's College, and was ...
in 1969, where he remained for the rest of his life. He was the founding director of
DIMACS The Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) is a collaboration between Rutgers University, Princeton University, and the research firms AT&T, Bell Labs, Applied Communication Sciences, and NEC. It was founded in ...
in 1989, and remained as its director until his death.A history of mathematics at Rutgers
Charles Weibel. Gorenstein was awarded many honors for his work on finite simple groups. He was recognised, in addition to his own research contributions such as work on signalizer functors, as a leader in directing the classification proof, one of the largest collaborative pieces of pure mathematics ever attempted. In 1972 he was a Guggenheim Fellow and a Fulbright Scholar; in 1978 he gained membership in the National Academy of Sciences and the
American Academy of Arts and Sciences The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, a ...
, and in 1989 won the Steele Prize for mathematical exposition.


See also

* Gorenstein–Harada theorem *
Gorenstein–Walter theorem In mathematics, the Gorenstein–Walter theorem, proved by , states that if a finite group ''G'' has a dihedral Sylow 2-subgroup, and ''O''(''G'') is the maximal normal subgroup of odd order, then ''G''/''O''(''G'') is isomorphic to a 2-group, or ...
*
Peterson–Gorenstein–Zierler algorithm In coding theory, the Bose–Chaudhuri–Hocquenghem codes (BCH codes) form a class of cyclic error-correcting codes that are constructed using polynomials over a finite field (also called ''Galois field''). BCH codes were invented in 1959 ...


Notes


External links

* *
Obituary: Professor Daniel Gorenstein

Daniel Gorenstein, 1923-1992
- A Biographical Memoir by Michael Aschbacher 20th-century American mathematicians 1923 births 1992 deaths Group theorists Harvard University alumni Rutgers University faculty Members of the United States National Academy of Sciences {{US-mathematician-stub