Benedict Hyman Gross (born June 22, 1950) is an American mathematician who is a professor at the
University of California, San Diego
The University of California, San Diego (UC San Diego in communications material, formerly and colloquially UCSD) is a public university, public Land-grant university, land-grant research university in San Diego, California, United States. Es ...
, the George Vasmer Leverett Professor of Mathematics Emeritus at
Harvard University
Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
, and former Dean of Harvard College.
[Curriculum vitae](_blank)
from Gross' web site at Harvard, retrieved 2010-04-21.
He is known for his work in
number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from integers (for example ...
, particularly the
Gross–Zagier theorem
In mathematics, a Heegner point is a point on a modular curve that is the image of a quadratic imaginary point of the upper half-plane. They were defined by Bryan Birch and named after Kurt Heegner, who used similar ideas to prove Gauss's conject ...
on
L-function
In mathematics, an ''L''-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An ''L''-series is a Dirichlet series, usually convergent on a half-plane, that may gi ...
s of
elliptic curve
In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over a field and describes points in , the Cartesian product of with itself. If the ...
s, which he researched with
Don Zagier
Don Bernard Zagier (born 29 June 1951) is an American-German mathematician whose main area of work is number theory. He is currently one of the directors of the Max Planck Institute for Mathematics in Bonn, Germany. He was a professor at the ''Co ...
.
Early life and education
Born on June 22, 1950, in
South Orange, New Jersey
South Orange is a historic suburban Village (New Jersey), village located in Essex County, New Jersey. It was formally known as the Township of South Orange Village from October 1978 until April 25, 2024. As of the 2020 United States census, ...
, Benedict moved with his family to
Santa Monica, California
Santa Monica (; Spanish language, Spanish: ''Santa Mónica'') is a city in Los Angeles County, California, Los Angeles County, situated along Santa Monica Bay on California's South Coast (California), South Coast. Santa Monica's 2020 United Sta ...
, before returning to New Jersey. He attended
West Orange High School, but transferred out after his freshman year.
Gross graduated from The
Pingry School
The Pingry School is a coeducational, independent, college preparatory country day school in New Jersey, with a Lower School (K–5) campus in the Short Hills neighborhood of Millburn, a Middle (6–8) and Upper School (9–12) campus in ...
, a leading independent school in New Jersey, in 1967 as the valedictorian. In 1971, he graduated
Phi Beta Kappa
The Phi Beta Kappa Society () is the oldest academic honor society in the United States. It was founded in 1776 at the College of William & Mary in Virginia. Phi Beta Kappa aims to promote and advocate excellence in the liberal arts and sciences, ...
from Harvard University. He then received an M.Sc. from
Oxford University
The University of Oxford is a collegiate research university in Oxford, England. There is evidence of teaching as early as 1096, making it the oldest university in the English-speaking world and the second-oldest continuously operating u ...
as a
Marshall Scholar
The Marshall Scholarship is a postgraduate scholarship for "intellectually distinguished young Americans ndtheir country's future leaders" to study at any university in the United Kingdom. It is considered among the most prestigious scholarshi ...
in 1974 before returning to Harvard and completing his Ph.D. in 1978, under
John Tate.
After holding faculty positions at
Princeton University
Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
and
Brown University
Brown University is a Private university, private Ivy League research university in Providence, Rhode Island, United States. It is the List of colonial colleges, seventh-oldest institution of higher education in the US, founded in 1764 as the ' ...
, Gross became a tenured professor at Harvard in 1985
and remained there subsequently, as Dean of Harvard College from 2003 to 2007.
Benedict Gross was the mathematical consultant for the 1980 film
''It's My Turn'' containing the scene in which actress
Jill Clayburgh
Jill Clayburgh (April 30, 1944 – November 5, 2010) was an American actress known for her work in theater, television, and cinema. She received the Cannes Film Festival Award for Best Actress and was nominated for the Academy Award for Best Actr ...
, portraying a mathematics professor, impeccably proves the
snake lemma
The snake lemma is a tool used in mathematics, particularly homological algebra, to construct long exact sequences. The snake lemma is valid in every abelian category and is a crucial tool in homological algebra and its applications, for instance ...
.
Awards and honors
Gross is a
1986 MacArthur Fellow.
Gross, Zagier, and
Dorian M. Goldfeld won the
Cole Prize
The Frank Nelson Cole Prize, or Cole Prize for short, is one of twenty-two prizes awarded to mathematicians by the American Mathematical Society, one for an outstanding contribution to algebra, and the other for an outstanding contribution to numbe ...
of the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
in 1987 for their work on the
Gross–Zagier theorem
In mathematics, a Heegner point is a point on a modular curve that is the image of a quadratic imaginary point of the upper half-plane. They were defined by Bryan Birch and named after Kurt Heegner, who used similar ideas to prove Gauss's conject ...
. In 2012, he became a fellow of the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
.
Gross was elected as a fellow of the
American Academy of Arts and Sciences
The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...
in 1992 and as a member of the
National Academy of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, NGO, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the ...
in 2004. He was elected to the
American Philosophical Society
The American Philosophical Society (APS) is an American scholarly organization and learned society founded in 1743 in Philadelphia that promotes knowledge in the humanities and natural sciences through research, professional meetings, publicat ...
in 2017.
Major publications
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See also
*''
Fat Chance: Probability from 0 to 1''
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Gross–Koblitz formula
In mathematics, the Gross–Koblitz formula, introduced by expresses a Gauss sum using a product of values of the ''p''-adic gamma function. It is an analog of the Chowla–Selberg formula for the usual gamma function. It implies the Hasse–Dav ...
References
External links
Benedict Gross's Harvard University homepage*
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{{DEFAULTSORT:Gross, Benedict
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
Mathematicians from New Jersey
Members of the American Philosophical Society
People from South Orange, New Jersey
Pingry School alumni
West Orange High School (New Jersey) alumni
People from West Orange, New Jersey