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

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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.

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.

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)

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

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

Princeton University shield

Princeton University

Private Ivy League research university in Princeton, New Jersey.

Private Ivy League research university in Princeton, New Jersey.

Princeton University shield
Princeton University shield
The Log College, an influential aspect of Princeton's development
From 1760, the first picture of Nassau Hall
John Witherspoon, President of the college (1768–94) and signer of the Declaration of Independence
James McCosh, President of the college (1868–88)
Woodrow Wilson, President of Princeton University (1902–10) and 28th president of the United States
Pyne Hall, where the first female students lived on campus.
The eastern side of the Washington Road Elm Allée, one of the entrances to the campus
Nassau Hall, the university's oldest building and former capitol of the United States. Pictured in front is Cannon Green.
The Princeton University Art Museum, which holds over 112,000 objects
Finished in 1928, the Princeton University Chapel seats 2,000 people.
Christopher Eisgruber, the 20th and current president of the university
McCosh 50, the largest lecture hall on campus
A picture of Cleveland Tower, part of the Graduate School at Princeton
Firestone Library, the largest of Princeton's libraries
Founded in 1879, Ivy Club is the oldest and wealthiest eating club on campus
Whig Hall, where the American Whig-Cliosophic Society resides.
The McCarter Theatre, where the Princeton Triangle Club premiers its Triangle Show.
FitzRandolph Gates, which by tradition undergraduates do not exit until graduation.
Princeton's mascot is the tiger.
Princeton vs. Lehigh football, September 2007
The annual Cane Spree depicted in 1877
The Princeton University Class of 1879, which included Woodrow Wilson, Mahlon Pitney, Daniel Barringer, and Charles Talcott
alt=A picture of First College|First College (founded 1957)
alt=A picture of Forbes College|Forbes College (founded 1984)
alt=The exterior of Mathey College, specifically Blair Arch.|Mathey College (founded 1983)
alt=A picture of Rockefeller College|Rockefeller College (founded 1982)
alt=A picture showcasing the entrance to Butler College|Butler College (founded 1983)
alt=The exterior of Whitman College.|Whitman College (founded 2007)

As of 2021, notable current faculty members include Angus Deaton, Daniel Kahneman, Cornel West, Robert Keohane, Edward W. Felten, Anthony Grafton, Peter Singer, Jhumpa Lahiri, Jim Peebles, Manjul Bhargava, Brian Kernighan, Betsy Levy Paluck and Robert P. George.

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.

Entrance

National Museum of Mathematics

Museum dedicated to mathematics in Manhattan, New York City.

Museum dedicated to mathematics in Manhattan, New York City.

Entrance
Entrance
Square wheeled tricycles at MoMath

Princeton professor and Fields Medal winner Manjul Bhargava was named as the first recipient of this position.

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.

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.