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Anthony William Knapp (born 2 December 1941, Morristown, New Jersey) is an American mathematician and professor emeritus at the State University of New York, Stony Brook working in representation theory. For much of his career, Knapp was a professor at Cornell University.

Education

Knapp lived in Baltimore, Maryland, and graduated from the preparatory McDonogh School nearby. He attended Dartmouth College, graduating from there in 1962 and receiving a National Science Foundation Graduate Fellowship to continue his studies. Knapp received his Ph.D. in 1965 from Princeton University under the supervision of Salomon Bochner.

Teaching

Knapp began his career as a C. L. E. Moore instructor for two years at the Massachusetts Institute of Technology, before gaining a position as an assistant professor at Cornell University in 1967. He was promoted to associate professor there in 1970 and full professor in 1975. Knapp began spending some of his time at SUNY Stony Brook in 1986 and took a full-time position there in 1990.

Research

In a series of papers from 1976 to 1984, Knapp and Gregg Zuckerman gave the classification of tempered representations of semisimple Lie groups.

Awards and honors

He won the Leroy P. Steele Prize for Mathematical Exposition in 1997. In 2012 he became a fellow of the American Mathematical Society.

Selected publications

• Knapp, Anthony William (2006). Basic algebra. Cornerstones. Boston, MA: Birkhäuser Boston Springer e-books Imprint: Birkhäuser. ISBN 978-0-8176-4529-8. (Book review) by Werner Kleinert (1945–2019), Humboldt University of Berlin
• Knapp, Anthony W. (2007). Advanced algebra. Cornerstones. Boston, Mass. London: Birkhauser Springer . ISBN 978-0-8176-4613-4. (Book review) by Werner Kleinert
• Elliptic curves. – Princeton, 1992 (Mathematical notes; 40) ISBN 0-691-08559-5 Zbl.0804.14013
• Representation theory of semisimple groups : An overview based on examples, (Originally publ. 1986) Princeton: University Press, 2001. (Princeton Landmarks in Mathematics) ISBN 0-691-09089-0.
• Lie Groups: Beyond an Introduction, (Originally publ. 1996) Second Edition, Progress in Mathematics, Vol. 140, Birkhäuser, Boston, 2002. ISBN 0-8176-4259-5.
• (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

1. American Men and Women of Science, Thomson Gale
2. ^ "Honors for '62 Men". Dartmouth Alumni Magazine. June 1962. p. 39.
3. "To Become Bride Of Mr. Knapp". The Baltimore Sun. June 2, 1963. p. 78 – via Newspapers.com.
4. ^ Jackson, Allyn (December 1997). "Anthony Knapp Appointed Notices Editor" (PDF). Notices of the AMS. 44 (11). American Mathematical Society: 1457–1458.
5. "Cornellians at the International Congress of Mathematicians". Department of Mathematics, Cornell University. Retrieved June 2, 2024.
6. "Vita for Anthony W. Knapp". SUNY Stony Brook. Retrieved May 27, 2024.
7. 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
8. 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
9. 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
10. 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
11. "1997 Steele Prizes" (PDF). Notices of the AMS.
12. List of Fellows of the American Mathematical Society, retrieved 2013-01-27.
13. Berg, Michael (May 18, 2007). "review of Basic Algebra by Anthony W. Knapp". MAA Reviews, Mathematical Association of America (MAA).
14. Berg, Michael (January 12, 2008). "review of Advanced Algebra by Anthony W. Knapp". MAA Reviews, Mathematical Association of America (MAA).
15. 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.
16. 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.
17. 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.
18. 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

• Home page of Anthony Knapp, which also hosts access to free books by the author under specific use- and copyrights.
• Anthony W. Knapp at the Mathematics Genealogy Project

• Living people
• 20th-century American mathematicians
• 21st-century American mathematicians
• Dartmouth College alumni
• Princeton University alumni
• People from Morristown, New Jersey
• Scientists from Baltimore
• Cornell University faculty
• State University of New York faculty
• Fellows of the American Mathematical Society
• 1941 births
• Mathematicians from New Jersey