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Daniel E. Gorenstein
Born
(1923-01-01)January 1, 1923
Boston, Massachusetts, US
Died
August 26, 1992(1992-08-26) (aged 69)
Martha's Vineyard, Massachusetts
Nationality
American
Alma mater
Harvard University (A.B., M.A., Ph.D.)
Known for
Gorenstein rings Classification of simple finite groups
Awards
Steele Prize (1989)
Scientific career
Fields
Mathematics
Institutions
Clark University Northeastern University Rutgers University
Doctoral advisor
Oscar Zariski
Doctoral students
Michael O'Nan
Daniel E. Gorenstein (January 1, 1923 – August 26, 1992) was an American mathematician best remembered for his contribution to the classification of finite simple groups.[1]
Gorenstein mastered calculus at age 12 and subsequently matriculated at Harvard University,[2] where he earned his bachelor's and master's degrees.[1] During the Second World War, he taught mathematics to military personnel.[2] After the war, he stayed at Harvard and earned his PhD 1950 under the supervision of Oscar Zariski. In his dissertation, Gorenstein introduced a duality principle for plane curves that motivated Alexander Grothendieck's introduction of Gorenstein rings. Gorenstein held posts at Clark University and Northeastern University, before moving to Rutgers University in 1969, where he remained for the rest of his life. He became the founding director of the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) at Rutgers in 1989, and remained at this post until his death.[3]
He was recognized, in addition to his own research contributions such as work on signalizer functors, as a leader in directing the classification of finite simple groups, one of the largest collaborative pieces of pure mathematics ever attempted.[1] 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. In 1989 Gorenstein won the Steele Prize in mathematical exposition from the American Mathematical Society for his book, Finite Simple Groups: An Introduction to Their Classification (1982).[1] In 1985, he wrote an article explaining his mathematical work to the layperson for the Scientific American.[4]
He died in 1992 after a brief illness. He was 69 years old.[1]
^ abcdeSaxon, Wolfgang (August 28, 1992). "Daniel Gorenstein, Who Charted Math's Densest Fields, Dies at 69". The New York Times. Archived from the original on May 26, 2015. Retrieved April 27, 2024.
^ abDangerfield, Jan; Davis, Heather; Farndon, John; Griffiths, Jonny; Jackson, Tom; Patel, Mukul; Pope, Sue; Parker, Matt (2019). The Math Book Big Ideas Simply Explained. New York: DK Publishing. p. 319. ISBN 978-1-4654-8024-8.
^Martel, Michelle. "A History of Mathematics at Rutgers". Department of Mathematics. Rutgers University. Retrieved April 27, 2024.
^Gorenstein, Daniel (December 1985). "The Enormous Theorem". Scientific American. 253 (6): 104–115. doi:10.1038/scientificamerican1285-104.
Daniel E. Gorenstein (January 1, 1923 – August 26, 1992) was an American mathematician best remembered for his contribution to the classification of finite...
by checking each family of simple groups and each sporadic group. DanielGorenstein announced in 1983 that the finite simple groups had all been classified...
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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...
classification of finite simple groups was declared accomplished in 1983 by DanielGorenstein, though some problems surfaced (specifically in the classification...
of the American Mathematical Society. Vol. 51, no. 7. pp. 736–740. DanielGorenstein (1985), "The Enormous Theorem", Scientific American, December 1, 1985...
the University of East Anglia in the UK. Daniel Quillen formulates higher algebraic K-theory. DanielGorenstein announces a 16-step program for completing...
and the Natural World: changing attitudes in England, 1500–1800. DanielGorenstein (with Richard Lyons) proves the trichotomy theorem for finite simple...
Management Decision Support. Past directors have included Fred S. Roberts, DanielGorenstein, András Hajnal, and Rebecca N. Wright. DIMACS sponsors implementation...
("restricted" version). Thomas Godfrey (1704–1749) Ralph E. Gomory (b. 1929) DanielGorenstein (1923–1992) Ronald Graham (1935–2020) Evelyn Boyd Granville (1924–2023)...
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Endliche Gruppen, this group is called a "Quasidiedergruppe". In DanielGorenstein's text, Finite Groups, this group is called the "semidihedral group"...
students S. S. Abhyankar Michael Artin Iacopo Barsotti Irvin Cohen DanielGorenstein Robin Hartshorne Heisuke Hironaka Steven Kleiman Joseph Lipman David...
and Ordinary Characters for Simple Groups." Oxford, England 1985. DanielGorenstein, Richard Lyons, Ronald Solomon The Classification of the Finite Simple...
Gårding Israel Gelfand Ronald Kay Getoor Jean Giraud George Glauberman DanielGorenstein Phillip Griffiths Pierre Grisvard [fr] Detlef Gromoll M. L. Gromov...
University was the scene from 1969 to 1973 of his collaboration with DanielGorenstein on the classification challenge in finite groups. In 1971 he first...
mathematics Israel Gelfand (1913–2009), professor of mathematics DanielGorenstein (1923–1992), professor of mathematics Samuel L. Greitzer (1905–1988)...
Distinguished Alumni Award from IIT, Delhi, India, in 1994, and the DanielGorenstein Memorial Award from Rutgers in 2010. He was the Editor of ASME Journal...
"even type" in the sense of the revision of the classification by DanielGorenstein, Richard Lyons, and Ronald Solomon, then the only extra group that...
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