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Benedict Hyman Gross (born June 22, 1950), is an American mathematician who is a professor at the University of California, San Diego,[1] the George Vasmer Leverett Professor of Mathematics Emeritus at Harvard University, and former Dean of Harvard College.[2]
Benedict Gross | |
|---|---|
| Born | Benedict Hyman Gross |
| Nationality | American |
| Alma mater | Harvard University Oxford University |
| Known for | Gross–Zagier theorem Gan–Gross–Prasad conjecture |
| Awards | Cole Prize (1987) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Harvard University UC San Diego |
| Thesis | Arithmetic on Elliptic Curves with Complex Multiplication (1978) |
| Doctoral advisor | John Tate |
| Doctoral students | |
He is known for his work in number theory, particularly the Gross–Zagier theorem on L-functions of elliptic curves, which he researched with Don Zagier.
Born in South Orange, New Jersey, Benedict moved with his family to Santa Monica, California, before returning to New Jersey. He attended West Orange High School, but transferred out after his freshman year.[3]
Gross graduated from The Pingry School, a leading independent school in New Jersey, in 1967 as the valedictorian. In 1971, he graduated Phi Beta Kappa from Harvard University. He then received an M.Sc. from Oxford University as a Marshall Scholar in 1974 before returning to Harvard and completing his Ph.D. in 1978, under John Tate.[2][4]
After holding faculty positions at Princeton University and Brown University, Gross became a tenured professor at Harvard in 1985[2] and remained there subsequently, as Dean of Harvard College from 2003 to 2007.[5]
Benedict Gross was the mathematical consultant for the 1980 film It's My Turn containing the scene[6] in which actress Jill Clayburgh, portraying a mathematics professor, impeccably proves the snake lemma.[7][8]
Gross is a 1986 MacArthur Fellow.[9]
Gross, Zagier, and Dorian M. Goldfeld won the Cole Prize of the American Mathematical Society in 1987 for their work on the Gross–Zagier theorem.[10] In 2012, he became a fellow of the American Mathematical Society.[11]
Gross was elected as a fellow of the American Academy of Arts and Sciences in 1992[12] and as a member of the National Academy of Sciences in 2004.[13] He was elected to the American Philosophical Society in 2017.[14]
- Gross, Benedict H.; Harris, Joe (1981). "Real algebraic curves". Annales scientifiques de l'École normale supérieure. 14 (2): 157–182. doi:10.24033/asens.1401. ISSN 0012-9593.
- Gross, Benedict H.; Zagier, Don B. (1986). "Heegner points and derivatives of L-series". Inventiones Mathematicae. 84 (2): 225–320. Bibcode:1986InMat..84..225G. doi:10.1007/BF01388809. ISSN 0020-9910.
- Gross, B.; Kohnen, W.; Zagier, D. (1987). "Heegner points and derivatives of L-series. II". Mathematische Annalen. 278 (1–4): 497–562. doi:10.1007/BF01458081. ISSN 0025-5831.
- Gross, Benedict H. (1987). "Heights and the special values of L-series". In Kisilevsky, H.; Labute, J. (eds.). Number Theory :proceedings of the 1985 Montreal Conference Held June 17-29, 1985. Providence, R.I: Published by the American Mathematical Society for the Canadian Mathematical Society. pp. 115–187. ISBN 978-0-8218-6012-0.
- Gross, Benedict H. (1 October 1990). "A tameness criterion for Galois representations associated to modular forms (mod p)". Duke Mathematical Journal. 61 (2): 445–517. doi:10.1215/S0012-7094-90-06119-8. ISSN 0012-7094.
- Gross, Benedict H.; Prasad, Dipendra (1 October 1992). "On the Decomposition of a Representation of SO n When Restricted to SO n-1". Canadian Journal of Mathematics. 44 (5): 974–1002. doi:10.4153/CJM-1992-060-8. ISSN 0008-414X.
- Gan, Wee Teck; Gross, Benedict H.; Prasad, Dipendra (2012). "Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups". Sur les conjectures de Gross et Prasad. Paris: Societé mathématique de France. pp. 1–109. ISBN 978-2-85629-348-5. OCLC 827954844.
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