Regular biography
Arul Shankar is a Professor in the Department of Mathematics at the University of Toronto. His research interests are not specified in the available information. Prof. Shankar's contact details include an email address and a website link to his profile page. No additional details regarding his academic background, awards, or specific research areas are provided.
Scholar-generated biography
Arul Shankar is a Professor of Mathematics at the University of Toronto, specializing in Number Theory. His research focuses on the arithmetic of elliptic curves, class groups, and the distribution of number fields. He has made significant contributions to understanding the average rank of elliptic curves, bounds on class groups, and the behavior of Selmer groups. His work often employs geometric and analytic methods, including geometry-of-numbers techniques over global fields. Shankar's research also explores the properties of cubic and quartic fields, as well as the distribution of discriminants and conductors.