Anthony W. Knapp

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. For much of his career, Knapp was a professor at Cornell University.

Knapp lived in Baltimore, Maryland,^[2] and graduated from the preparatory McDonogh School nearby.^[3] He attended Dartmouth College,^[4] graduating from there in 1962 and receiving a National Science Foundation Graduate Fellowship to continue his studies.^[2] Knapp received his Ph.D. in 1965 from Princeton University under the supervision of Salomon Bochner.^[4]

Knapp began his career as a C. L. E. Moore instructor for two years at the Massachusetts Institute of Technology,^[4] before gaining a position as an assistant professor at Cornell University in 1967.^[5] He was promoted to associate professor there in 1970 and full professor in 1975.^[6] Knapp began spending some of his time at SUNY Stony Brook in 1986 and took a full-time position there in 1990.^[4]

In a series of papers from 1976 to 1984, Knapp and Gregg Zuckerman gave the classification of tempered representations of semisimple Lie groups.^{[7][8][9][10]}

He won the Leroy P. Steele Prize for Mathematical Exposition in 1997.^[11] In 2012 he became a fellow of the American Mathematical Society.^[12]

• Knapp, Anthony William (2006). Basic algebra. Cornerstones. Boston, MA: Birkhäuser Boston Springer e-books Imprint: Birkhäuser. ISBN 978-0-8176-4529-8.^[13] (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.^[14] (Book review) by Werner Kleinert
• Elliptic curves. – Princeton, 1992^[15] (Mathematical notes; 40) ISBN 0-691-08559-5 Zbl.0804.14013
• Representation theory of semisimple groups : An overview based on examples, (Originally publ. 1986)^[16] Princeton: University Press, 2001. (Princeton Landmarks in Mathematics) ISBN 0-691-09089-0.
• Lie Groups: Beyond an Introduction, (Originally publ. 1996)^[17] Second Edition, Progress in Mathematics, Vol. 140, Birkhäuser, Boston, 2002. ISBN 0-8176-4259-5.^[18]
• (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.