Benedict Gross
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 |
Benedict Hyman Gross 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]
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.
Education and Professional career
[edit]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][3]
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.[4]
Benedict Gross was the mathematical consultant for the 1980 film It's My Turn containing the scene[5] in which actress Jill Clayburgh, portraying a mathematics professor, impeccably proves the snake lemma.[6][7]
Awards and honors
[edit]Gross is a 1986 MacArthur Fellow.[8]
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.[9] In 2012, he became a fellow of the American Mathematical Society.[10]
Gross was elected as a fellow of the American Academy of Arts and Sciences in 1992[11] and as a member of the National Academy of Sciences in 2004.[12] He was elected to the American Philosophical Society in 2017.[13]
Major publications
[edit]- 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.
See also
[edit]References
[edit]- ^ Eisner <deisner@ucsd.edu>, Daryl. "UCSD Math | Profile for Benedict Gross". UCSD Math | Profile for Benedict Gross.
- ^ a b c Curriculum vitae from Gross' web site at Harvard, retrieved 2010-04-21.
- ^ Benedict Gross at the Mathematics Genealogy Project
- ^ Gross Officially Named Dean of the College, Harvard Crimson, April 8, 2003; Gross Stretches to Prepare for New Roles, Harvard Crimson, May 16, 2003; With Goals Accomplished, Gross Leaves Overhauled College: His efforts were to 'improve the undergraduate experience,' dean says, Harvard Crimson, June 29, 2007; Exit Gross, Harvard Crimson, September 21, 2007.
- ^ "It's My Turn (1980) Snake Lemma". YouTube. 12 January 2009. Archived from the original on 2021-12-22.
- ^ "Benedict Gross – Miscellaneous Crew". IMDb.com.
- ^ "Lights, Camera and Algebraic Topology". thecrimson.com. 2003-10-23. Retrieved 2023-12-31.
- ^ "Benedict H. Gross". MacArthur Foundation. 2023-12-14. Retrieved 2023-12-31.
- ^ Frank Nelson Cole Prize in Number Theory, AMS, retrieved 2010-04-21.
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
- ^ List of Active Members by Classes Archived 2005-05-06 at the Wayback Machine, American Academy of Arts and Sciences, retrieved 2010-04-21.
- ^ National Academies news: 72 new members chosen by academy Archived 2016-03-03 at the Wayback Machine, The National Academies, April 2004, retrieved 2010-04-21.
- ^ "American Philosophical Society: Newly Elected – April 2017". Archived from the original on 2017-09-15. Retrieved 2017-06-13.
External links
[edit]- Benedict Gross's Harvard University homepage
- "Benedict Gross "Complex Multiplication: Past, Present, Future" Lecture 1". YouTube. January 30, 2019. Archived from the original on 2021-12-22.
- "Benedict Gross "Complex Multiplication: Past, Present, Future" Lecture 2". YouTube. January 31, 2019. Archived from the original on 2021-12-22.
- "Benedict Gross "Complex Multiplication: Past, Present, Future" Lecture 3". YouTube. February 4, 2019. Archived from the original on 2021-12-22.
- 1950 births
- Living people
- 20th-century American mathematicians
- 21st-century American mathematicians
- American number theorists
- Harvard University alumni
- Alumni of the University of Oxford
- Princeton University faculty
- Trustees of the Institute for Advanced Study
- Brown University faculty
- Harvard University Department of Mathematics faculty
- MacArthur Fellows
- Fellows of the American Academy of Arts and Sciences
- Fellows of the American Mathematical Society
- Members of the United States National Academy of Sciences
- Marshall Scholars
- Members of the American Philosophical Society