Arul Shankar
Arul Shankar is an Indian mathematician at the University of Toronto specialising in number theory; more specifically, arithmetic statistics. He obtained his PhD from Princeton University in 2012 under Manjul Bhargava.[1] Shankar is known for his work, with Manjul Bhargava, establishing unconditionally that the average rank of elliptic curves is bounded when ordered by naive height by in [2] and [3] respectively.
In 2018 he was awarded a Sloan Research Fellowship,[4] one of the most prestigious early career research fellowships available to mathematicians.[5]
References
- ^ "Arul Shankar". Mathematics Genealogy Project. Retrieved 14 May 2017.
- ^ 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
- ^ 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
- ^ "2018 Sloan Research Fellows". Alfred P. Sloan Foundation. Retrieved 6 March 2018.
- ^ "The Culture of Research and Scholarship in Mathematics: Rates of Publication" (PDF). American Mathematical Society. Retrieved 6 March 2018.
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