Michael Aschbacher

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Michael Aschbacher

Michael George Aschbacher (born April 8, 1944 in Little Rock , Arkansas ) is an American mathematician who played a leading role in the program of the classification of finite simple groups , which came to a preliminary conclusion in the 1980s. He deals with the theory of finite groups, combinatorics and algebraic groups.

Aschbacher studied at Caltech (Bachelor 1966) and at the University of Wisconsin – Madison , where he received his doctorate in 1969 under Richard Bruck ( Collineation Groups of Symmetric Block Designs ). In 1969/70 he was a post-doctoral student at the University of Illinois . From 1970 he was back at Caltech, where he received a full professorship in 1976. In 1973 he became a Sloan Research Fellow . He is currently “Shaler Arthur Hanisch Professor of Mathematics” at Caltech.

Aschbacher was a driving force in the classification of simple finite groups. A remaining gap in the evidence, the case of the “quasithin groups”, he closed in 2004 with Stephen D. Smith . This work alone comprises around 1300 pages.

In 2012 he received the Leroy P. Steele Prize with Richard Lyons , Stephen D. Smith and Ronald Solomon for their book Classification of finite simple groups: Groups of characteristic 2-type (AMS 2011), which is a continuation and update of Daniel Gorenstein's overview of the classification program of 1983 was intended (and shows the program using the example of groups of characteristic 2).

In 1980 he received the Cole Prize in Algebra (for his work A characterization of Chevalley groups over fields of odd order ). He was elected to the National Academy of Sciences in 1990 and has been a member of the American Academy of Arts and Sciences since 1992 . In 2011 he was awarded the Rolf Schock Prize for Mathematics by the Royal Swedish Academy of Sciences in Stockholm. In 2012 he received the Wolf Prize in Mathematics (together with Luis Caffarelli ). In 1978 he was invited speaker at the International Congress of Mathematicians in Helsinki ( A survey of the classification program of finite simple groups of even characteristic ).

From 1996 to 1998 he was Vice President of the American Mathematical Society (AMS), of which he is a fellow.

Fonts

  • with Stephen D. Smith: The classification of quasithin groups I and II. AMS, 2004, ISBN 0-8218-3410-X and ISBN 0-8218-3411-8 .
  • Finite group theory. Cambridge University Press 2000, ISBN 0-521-78675-4 .
  • Sporadic groups. Cambridge University Press 1994, ISBN 0-521-42049-0 .
  • 3-transposition groups. Cambridge University Press 1997, ISBN 0-521-57196-0 .
  • The finite simple groups and their classification. Yale University Press 1980, ISBN 0-300-02449-5 .
  • Overgroups of Sylow subgroups in sporadic groups. Memoirs of the AMS, 1986, ISBN 0-8218-2344-2 .
  • with Lyons, Smith, Solomon Classification of finite simple groups: groups of characteristic 2-type , AMS 2011

Web links

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personal data
SURNAME Aschbacher, Michael
ALTERNATIVE NAMES Aschbacher, Michael George
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH April 8, 1944
PLACE OF BIRTH Little Rock , Arkansas