Daniel Gorenstein

Daniel E. Gorenstein (born 1 January 1923 in Boston, † August 26 1992 in the United States) was an American mathematician who had a leading role in the classification of finite simple groups program in the 1980s a preliminary conclusion was. He dealt with the theory of finite groups and commutative algebra. According to him, the Gorenstein rings are named, although he always claimed to not even understand the definition.

Gorenstein studied at Harvard, among others, by Saunders MacLane. In 1950 he was there his doctorate under Oscar Zariski. After his dissertation, he went in 1951 to Clark University, where he remained until a visiting professor 1958/59 at Cornell University until 1964, when he moved to Northeastern University in Boston. In 1968/69 he was at the Institute for Advanced Study. From 1969 he was a professor at Rutgers University, where he remained until his death. 1975 to 1981 he was chairman of the mathematics department there. From 1989 he was there the founder and first director of the National Science Foundation Science Technology Center in discrete mathematics and computer science ( DIMACS ).

His move from algebraic geometry to group theory was (partly under the influence of Israel Herstein ) about place in 1957 and his involvement in the classification program of the finite simple groups in " Group Theory Year" 1960/61, at the University of Chicago, where John Griggs Thompson and Walter Feit developed their Auflösbarkeitsbeweis for groups of odd order. Gorenstein was supplemented both by own work than by his organizational talent and his energetic personality is the driving force behind the program classification of finite simple groups in the 1970s by Michael Aschbacher. At the meeting of the AMS in 1981 announced Gorenstein, that the classification program was completed, but still turned out to be premature in the course of the decade.

1972/73 he was a Guggenheim Fellow and Fulbright Fellow. Since 1978 he was a member of the National Academy of Sciences and the American Academy of Arts and Sciences. In 1989 he won the Leroy P. Steele Prize for his textbooks. In 1978 he gave a plenary lecture at the ICM in Helsinki (The Classification of Finite Simple Groups) and in 1970 he was invited speaker at the ICM in Nice ( Centralizers of involution in finite simple groups).

His doctoral counts Michael O'Nan.

Writings

  • Finite Groups. Harper and Row, 1968, AMS Chelsea Publishing, 2007.
  • Finite simple groups: An introduction to Their classification. Kluwer / Plenum, New York 1982.
  • Type The local structure of finite groups of characteristic 2: with Richard Lyons. 1983
  • Richard Lyons, Ronald Solomon: The classification of the finite simple groups. AMS, 6 volumes, 1994-2005
  • The classification of finite simple groups I. Simple groups and local analysis. In: Bulletin of the AMS. 1979, No. 1
Harvard University Saunders Mac Lane Israel Nathan Herstein Walter Feit American Mathematical Society Richard Lyons (mathematician)
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