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Benedict Gross

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Benedict Gross
Born
Benedict Hyman Gross
NationalityAmerican
Alma materHarvard University
Oxford University
Known forGross–Zagier theorem
Gan–Gross–Prasad conjecture
AwardsCole Prize (1987)
Scientific career
FieldsMathematics
InstitutionsHarvard University
UC San Diego
ThesisArithmetic on Elliptic Curves with Complex Multiplication (1978)
Doctoral advisorJohn Tate
Doctoral students

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]

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.

Early life and education

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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]

Awards and honors

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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]

Major publications

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  • 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

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References

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  1. ^ Eisner <deisner@ucsd.edu>, Daryl. "UCSD Math | Profile for Benedict Gross". UCSD Math | Profile for Benedict Gross.
  2. ^ a b c Curriculum vitae from Gross' web site at Harvard, retrieved 2010-04-21.
  3. ^ Kirby, Rob. "Benedict H. Gross: Becoming a mathematician", Celebratio Mathematica, 2023. Accessed December 4, 2024. "Dick was born in South Orange, New Jersey on June 22, 1950, the day his sister Ruth graduated from high school and his brother Av graduated from junior high.... Even so, by his tenth grade year, Dick had exhausted the offerings at West Orange High School so he transferred to the Pingry School, a private school about ten miles from home."
  4. ^ Benedict Gross at the Mathematics Genealogy Project
  5. ^ 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.
  6. ^ "It's My Turn (1980) Snake Lemma". YouTube. 12 January 2009. Archived from the original on 2021-12-22.
  7. ^ "Benedict Gross – Miscellaneous Crew". IMDb.com.
  8. ^ "Lights, Camera and Algebraic Topology". thecrimson.com. 2003-10-23. Retrieved 2023-12-31.
  9. ^ "Benedict H. Gross". MacArthur Foundation. 2023-12-14. Retrieved 2023-12-31.
  10. ^ Frank Nelson Cole Prize in Number Theory, AMS, retrieved 2010-04-21.
  11. ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-19.
  12. ^ List of Active Members by Classes Archived 2005-05-06 at the Wayback Machine, American Academy of Arts and Sciences, retrieved 2010-04-21.
  13. ^ 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.
  14. ^ "American Philosophical Society: Newly Elected – April 2017". Archived from the original on 2017-09-15. Retrieved 2017-06-13.
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