Arul Shankar is an Indian mathematician at the University of Toronto specializing in number theory, particularly arithmetic statistics.
He obtained his PhD from Princeton University in 2012 under Manjul Bhargava.
[1] 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
[3] 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,[4] one of the most prestigious early career research fellowships available to mathematicians.