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 <math>1.5</math> [2] and <math> 1.17 </math> [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.
- ↑ 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.
- ↑ The Culture of Research and Scholarship in Mathematics: Rates of Publication. American Mathematical Society.