Anthony W. Knapp

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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]

  1. ^ American Men and Women of Science, Thomson Gale
  2. ^ Anthony W. Knapp at the Mathematics Genealogy Project
  3. ^ 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
  4. ^ 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
  5. ^ 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
  6. ^ 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
  7. ^ "1997 Steele Prizes" (PDF). Notices of the AMS.
  8. ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-27.
  9. ^ Berg, Michael (May 18, 2007). "review of Basic Algebra by Anthony W. Knapp". MAA Reviews, Mathematical Association of America (MAA).
  10. ^ Berg, Michael (January 12, 2008). "review of Advanced Algebra by Anthony W. Knapp". MAA Reviews, Mathematical Association of America (MAA).
  11. ^ 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.
  12. ^ 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.
  13. ^ 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.
  14. ^ 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.
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