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.
- ^ American Men and Women of Science, Thomson Gale
- ^ a b "Honors for '62 Men". Dartmouth Alumni Magazine. June 1962. p. 39.
- ^ "To Become Bride Of Mr. Knapp". The Baltimore Sun. June 2, 1963. p. 78 – via Newspapers.com.
- ^ a b c d Jackson, Allyn (December 1997). "Anthony Knapp Appointed Notices Editor" (PDF). Notices of the AMS. 44 (11). American Mathematical Society: 1457–1458.
- ^ "Cornellians at the International Congress of Mathematicians". Department of Mathematics, Cornell University. Retrieved June 2, 2024.
- ^ "Vita for Anthony W. Knapp". SUNY Stony Brook. Retrieved May 27, 2024.
- ^ 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).
- 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
| International | |
|---|---|
| National | |
| Academics | |
| Other | |
- Living people
- 20th-century American mathematicians
- 21st-century American mathematicians
- Dartmouth College alumni
- Princeton University alumni
- People from Morristown, New Jersey
- People from Baltimore
- Cornell University faculty
- State University of New York faculty
- Fellows of the American Mathematical Society
- 1941 births
- Mathematicians from New Jersey
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.
- ^ American Men and Women of Science, Thomson Gale
- ^ a b "Honors for '62 Men". Dartmouth Alumni Magazine. June 1962. p. 39.
- ^ "To Become Bride Of Mr. Knapp". The Baltimore Sun. June 2, 1963. p. 78 – via Newspapers.com.
- ^ a b c d Jackson, Allyn (December 1997). "Anthony Knapp Appointed Notices Editor" (PDF). Notices of the AMS. 44 (11). American Mathematical Society: 1457–1458.
- ^ "Cornellians at the International Congress of Mathematicians". Department of Mathematics, Cornell University. Retrieved June 2, 2024.
- ^ "Vita for Anthony W. Knapp". SUNY Stony Brook. Retrieved May 27, 2024.
- ^ 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).
- 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
| International | |
|---|---|
| National | |
| Academics | |
| Other | |
- Living people
- 20th-century American mathematicians
- 21st-century American mathematicians
- Dartmouth College alumni
- Princeton University alumni
- People from Morristown, New Jersey
- People from Baltimore
- Cornell University faculty
- State University of New York faculty
- Fellows of the American Mathematical Society
- 1941 births
- Mathematicians from New Jersey