Anthony William Knapp (born 2 December 1941, Morristown, New Jersey)[1] is an American mathematician and professor emeritus at the State University of New York, Stony Brook working in representation theory.
Education edit
Knapp received his Ph.D. in 1965 from Princeton University under the supervision of Salomon Bochner.[2]
Research edit
In a series of papers from 1976 to 1984, Knapp and Gregg Zuckerman gave the classification of tempered representations of semisimple Lie groups.[3][4][5][6]
Awards and honors edit
He won the Leroy P. Steele Prize for Mathematical Exposition in 1997.[7] In 2012 he became a fellow of the American Mathematical Society.[8]
Selected publications edit
- Knapp, Anthony William (2006). Basic algebra. Cornerstones. Boston, MA: Birkhäuser Boston Springer e-books Imprint: Birkhäuser. ISBN 978-0-8176-4529-8.[9] (Book review) by Werner Kleinert (1945–2019), Humboldt University of Berlin
- Knapp, Anthony W. (2007). Advanced algebra. Cornerstones. Boston, Mass. London: Birkhauser Springer [distributor]. ISBN 978-0-8176-4613-4.[10] (Book review) by Werner Kleinert
- Elliptic curves. – Princeton, 1992[11] (Mathematical notes; 40) ISBN 0-691-08559-5 Zbl.0804.14013
- Representation theory of semisimple groups : An overview based on examples, (Originally publ. 1986)[12] Princeton: University Press, 2001. (Princeton Landmarks in Mathematics) ISBN 0-691-09089-0.
- Lie Groups: Beyond an Introduction, (Originally publ. 1996)[13] Second Edition, Progress in Mathematics, Vol. 140, Birkhäuser, Boston, 2002. ISBN 0-8176-4259-5.[14]
- (with David A. Vogan) Cohomological Induction and Unitary Representations, Princeton Mathematical Series 45, Princeton University Press, Princeton, New Jersey, 1995.
- (with Gregg Zuckerman) Classification of irreducible tempered representations of semisimple Lie groups Proceedings of the National Academy of Sciences of the United States of America 73, No. 7 (Jul. 1976), pp. 2178–2180
- (with Gregg Zuckerman) "Classification of irreducible tempered representations of semisimple groups" Annals of Mathematics 116 (1982) 389–501, correction 119 (1984) 639.
References edit
- ^ American Men and Women of Science, Thomson Gale
- ^ Anthony W. Knapp at the Mathematics Genealogy Project
- ^ Knapp, Anthony W.; Zuckerman, Gregg (1976), "Classification of irreducible tempered representations of semi-simple Lie groups", Proceedings of the National Academy of Sciences of the United States of America, 73 (7): 2178–2180, Bibcode:1976PNAS...73.2178K, doi:10.1073/pnas.73.7.2178, ISSN 0027-8424, JSTOR 65732, MR 0460545, PMC 430485, PMID 16592331
- ^ Knapp, Anthony W.; Zuckerman, Gregg J. (1982), "Classification of irreducible tempered representations of semisimple groups. Part I", Annals of Mathematics, Second Series, 116 (2): 389–455, doi:10.2307/2007066, ISSN 0003-486X, JSTOR 2007066, MR 0672840
- ^ Knapp, Anthony W.; Zuckerman, Gregg J. (1982), "Classification of irreducible tempered representations of semisimple groups. Part II", Annals of Mathematics, Second Series, 116 (3): 457–501, doi:10.2307/2007019, ISSN 0003-486X, JSTOR 2007019, MR 0672840
- ^ Knapp, Anthony W.; Zuckerman, Gregg J. (1984), "Correction", Annals of Mathematics, Second Series, 119 (3): 639, doi:10.2307/2007089, ISSN 0003-486X, JSTOR 2007089, MR 0744867
- ^ "1997 Steele Prizes" (PDF). Notices of the AMS.
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-27.
- ^ Berg, Michael (May 18, 2007). "review of Basic Algebra by Anthony W. Knapp". MAA Reviews, Mathematical Association of America (MAA).
- ^ Berg, Michael (January 12, 2008). "review of Advanced Algebra by Anthony W. Knapp". MAA Reviews, Mathematical Association of America (MAA).
- ^ Langlands, Robert P. (1994). "Review: Elliptic curves, by Anthony W. Knapp". Bulletin of the American Mathematical Society. New Series. 30 (1): 96–100. doi:10.1090/s0273-0979-1994-00455-0.
- ^ Vogan, David A. (1987). "Review: Representation theory of semisimple groups. An overview based on examples, by Anthony W. Knapp". Bulletin of the American Mathematical Society. New Series. 17 (2): 392–396. doi:10.1090/s0273-0979-1987-15612-6.
- ^ Vogan Jr., David A. (1999). "Review: Lie groups: Beyond an introduction, by A. W. Knapp". Bull. Amer. Math. Soc. New Series. 36 (4): 483–488. doi:10.1090/S0273-0979-99-00790-9.
- ^ Cullinan, John (April 11, 2006). "review of Lie Groups Beyond an Introduction by Anthony W. Knapp". MAA Reviews, Mathematical Association of America (MAA).
External links edit
- Home page of Anthony Knapp, which also hosts access to free books by the author under specific use- and copyrights.