Anthony W. Knapp

Anthony William Knapp ( born December 2, 1941 in Morristown, New Jersey) is an American mathematician who is engaged in the infinite-dimensional representation theory of Lie groups.

Life

Knapp studied at Dartmouth College and at Princeton University, where he received his doctorate in 1965 at Salomon Bochner with the dissertation Distal Functions on Abelian Groups. 1965 to 1967 he was a Moore Instructor at MIT. In 1966 the book denumerable Markov chains from him, John G. Kemeny and J. Laurie Snell (he had both heard the lectures in Dartmouth ). In 1967, he went to Cornell University. Since 1986 he was a professor at the State University of New York at Stony Brook, where he is now professor emeritus.

With Elias Stein ( Princeton ), he developed the theory of Intertwining Operators for constructing unitary representations. With Gregg Zuckerman he completed the classification of the tempered irreducible representations ( tempered representations ) of semisimple Lie groups (1975 ), which were used by Harish - Chandra for his Plancherel theorem. He is known in the U.S. for his textbooks.

In 1974 he was Invited Speaker ( A discrete Szegö kernel for series) at the International Congress of Mathematicians in Vancouver. 1982/83 he was a Guggenheim Fellow. In 1997 he received the Leroy P. Steele Prize for one of his textbooks ( Representation Theory of Semi Simple Groups). 1998 to 2001 he was editor of the Notices of the American Mathematical Society. He is a Fellow of the American Mathematical Society.

He has been married since 1963 and has two children.

Writings

  • Representation Theory of Semi Simple Groups: An Overview Based on Examples. Princeton Landmarks in Mathematics, Princeton University Press, 2001, ISBN 0-691-09089-0.
  • Lie Groups Beyond an Introduction. 2nd edition. Progress in Mathematics, Vol 140, Birkhauser, Boston, 2002. ISBN 0-8176-4259-5.
  • DA Vogan: Cohomological Induction and Unitary Representations. Princeton Mathematical Series, Vol 45, Princeton University Press, Princeton, New Jersey in 1995.
  • Elliptic Curves. Princeton University Press 1992.
  • Introduction to the Langlands Program, in TN Bailey, AW Knapp ( Ed.) Representation theory and Automorphic Forms, Edinburgh 1996, Proc. Symp Pure Math, Volume 61, AMS 1997, pp. 245-302
Morristown (New Jersey) C.L.E. Moore instructor Stony Brook University Harish-Chandra Mathematics Genealogy Project Integrated Authority File
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