Manjul Bhargava

Manjul Bhargava in 2014
Four Fields medallists left to right (Artur Avila, Martin Hairer (at back), Maryam Mirzakhani, with Maryam's daughter Anahita) and Bhargava at the ICM 2014 in Seoul

Canadian-American mathematician.

- Manjul Bhargava
Manjul Bhargava in 2014

12 related topics

Alpha

Plainedge High School

American public high school in the hamlet of North Massapequa, Long Island, New York, and is part of the Plainedge Union Free School District.

American public high school in the hamlet of North Massapequa, Long Island, New York, and is part of the Plainedge Union Free School District.

Manjul Bhargava – mathematician

Morgan Prize

Distinguish from the De Morgan Medal awarded by the London Mathematical Society.

Distinguish from the De Morgan Medal awarded by the London Mathematical Society.

Winner: Manjul Bhargava (Algebra, Harvard University)

North Massapequa, New York

Hamlet and census-designated place located on Long Island within the town of Oyster Bay in Nassau County, New York, United States.

Hamlet and census-designated place located on Long Island within the town of Oyster Bay in Nassau County, New York, United States.

U.S. Census Map

Manjul Bhargava, mathematician, studied at the local high school

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

15 and 290 theorems

In mathematics, the 15 theorem or Conway–Schneeberger Fifteen Theorem, proved by John H. Conway and W. A. Schneeberger in 1993, states that if a positive definite quadratic form with integer matrix represents all positive integers up to 15, then it represents all positive integers.

In mathematics, the 15 theorem or Conway–Schneeberger Fifteen Theorem, proved by John H. Conway and W. A. Schneeberger in 1993, states that if a positive definite quadratic form with integer matrix represents all positive integers up to 15, then it represents all positive integers.

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

Manjul Bhargava found a much simpler proof which was published in 2000.

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

Bhargava factorial

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

In mathematics, Bhargava's factorial function, or simply Bhargava factorial, is a certain generalization of the factorial function developed by the Fields Medal winning mathematician Manjul Bhargava as part of his thesis in Harvard University in 1996.

The obverse of the Fields Medal

Fields Medal

Prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union , a meeting that takes place every four years.

Prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union , a meeting that takes place every four years.

The obverse of the Fields Medal
The reverse of the Fields Medal

In 2014, Maryam Mirzakhani became the first woman as well as the first Iranian to win the Fields Medal, and Artur Avila became the first South American and Manjul Bhargava became the first person of Indian origin to do so.

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

Rank of an elliptic curve

Elliptic curve is the rational Mordell–Weil rank of an elliptic curve E defined over the field of rational numbers.

Elliptic curve is the rational Mordell–Weil rank of an elliptic curve E defined over the field of rational numbers.

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

Bhargava and Shankar's unconditional proof of the boundedness of the average rank of elliptic curves is obtained by using a certain exact sequence involving the Mordell-Weil group of an elliptic curve, then one would be able to bound the Mordell-Weil rank on average as well.

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

Binary quadratic form

Quadratic homogeneous polynomial in two variables

Quadratic homogeneous polynomial in two variables

3rd century BC Greek mathematician Euclid (holding calipers), as imagined by Raphael in this detail from The School of Athens (1509–1511)

This includes numerous results about quadratic number fields, which can often be translated into the language of binary quadratic forms, but also includes developments about forms themselves or that originated by thinking about forms, including Shanks's infrastructure, Zagier's reduction algorithm, Conway's topographs, and Bhargava's reinterpretation of composition through Bhargava cubes.

Soundararajan teaching at Stanford University

Kannan Soundararajan

India-born American mathematician and a professor of mathematics at Stanford University.

India-born American mathematician and a professor of mathematics at Stanford University.

Soundararajan teaching at Stanford University

In 2005, he won the $10,000 SASTRA Ramanujan Prize, shared with Manjul Bhargava, awarded by SASTRA in Thanjavur, India, for his outstanding contributions to number theory.

Motto: Dedicated to increasing and disseminating mathematical knowledge

Clay Mathematics Institute

Private, non-profit foundation dedicated to increasing and disseminating mathematical knowledge.

Private, non-profit foundation dedicated to increasing and disseminating mathematical knowledge.

Motto: Dedicated to increasing and disseminating mathematical knowledge

Its recipients to date are Ian Agol, Manindra Agrawal, Yves Benoist, Manjul Bhargava, Tristan Buckmaster, Danny Calegari, Alain Connes, Nils Dencker, Alex Eskin, David Gabai, Ben Green, Mark Gross, Larry Guth, Christopher Hacon, Richard S. Hamilton, Michael Harris, Philip Isett, Jeremy Kahn, Nets Katz, Laurent Lafforgue, Gérard Laumon, Aleksandr Logunov, Eugenia Malinnikova, Vladimir Markovic, James McKernan, Jason Miller, Maryam Mirzakhani, Ngô Bảo Châu, Rahul Pandharipande, Jonathan Pila, Jean-François Quint, Peter Scholze, Oded Schramm, Scott Sheffield, Bernd Siebert, Stanislav Smirnov, Terence Tao, Clifford Taubes, Richard Taylor, Maryna Viazovska, Vlad Vicol, Claire Voisin, Jean-Loup Waldspurger, Andrew Wiles, Geordie Williamson, Edward Witten and Wei Zhang.