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

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.

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.