Benedict Gross

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

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

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

• 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. 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

• Fat Chance: Probability from 0 to 1
• Gross–Koblitz formula

References

External links

• 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.