Arul Shankar

He received his B.Sc. (honours) in mathematics and computer science from Chennai Mathematical Institute in 2007. He obtained his PhD from Princeton University in 2012 under Manjul Bhargava.{{cite web|title=Arul Shankar|url=https://www.genealogy.math.ndsu.nodak.edu/id.php?id=170974|publisher=Mathematics Genealogy Project|accessdate=14 May 2017}} Shankar is known for his work, with Bhargava, establishing unconditionally that the average rank of elliptic curves is bounded when ordered by naive height by $1.5$ M. Bhargava and A. Shankar, Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves, Annals of Mathematics 181 (2015), 191–242 https://dx.doi.org/10.4007/annals.2015.181.1.3 and $1.17$ M. Bhargava and A. Shankar, Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0, Annals of Mathematics 181 (2015), 587–621 https://dx.doi.org/10.4007/annals.2015.181.2.4 respectively, thus proving the Birch and Swinnerton-Dyer conjecture for a positive proportion of elliptic curves.

In 2018 he was awarded a Sloan Research Fellowship,{{cite web|title=2018 Sloan Research Fellows|url=https://sloan.org/fellowships/2018-Fellows|publisher=Alfred P. Sloan Foundation|accessdate=6 March 2018|archive-url=https://web.archive.org/web/20181101114428/https://sloan.org/fellowships/2018-Fellows|archive-date=1 November 2018|url-status=dead}} one of the most prestigious early career research fellowships available to mathematicians.{{cite web|title=The Culture of Research and Scholarship in Mathematics: Rates of Publication|url=http://www.ams.org/profession/leaders/culture/CultureStatement06.pdf|publisher = American Mathematical Society|accessdate=6 March 2018}}

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• [https://www.univcan.ca/innovators/arul-shankar/ Arul Shankar]

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Category:Indian number theorists

Category:Academic staff of the University of Toronto

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