Ravi Donepudi

I am a mathematician working as a quant at Goldman Sachs. I received my Ph.D in mathematics from the University of Illinois at Urbana-Champaign in May 2021. My advisor was Patrick Allen.

My field of research is arithmetic algebraic geometry, which uses the tools of algebraic geometry to investigate phenomena (broadly) concerning the integers. Specifically, I am interested in questions involving the arithmetic of curves and abelian varieties over fields of positive characteristic and their connections to cryptography. Previously, I was an undergraduate student at Colorado College in the Rocky Mountains.

Publications and Preprints

Vanishing of Dirichlet L-functions at the central point over function fields
(with Wanlin Li.) to appear in Rocky Mountain Journal of Mathematics.
Restrictions on Weil polynomials of Jacobians of hyperelliptic curves
(with Edgar Costa, Ravi Fernando, Valentijn Karemaker, Caleb Springer and Mckenzie West.) To appear in the Simons Symposia proceedings volume for the Simons Collaboration "Arithmetic Geometry, Number Theory and Computation"
Exact evaluation of second moments associated with some families of curves over a finite field
(with Junxian Li and Alexandru Zaharescu ) Finite Fields and Their Applications. 26 (2017), vol. 48, 331-355. Journal

Talk Slides

Abelian Varieties not Isogenous to a Hyperelliptic Jacobian - Slides for a talk given at the Joint Math Meetings, January 2020
Combinatorial Approaches to Geometry over Finite Fields - Slides for a talk given at the AMS Fall Southeastern Sectional Meeting at the University of Florida, Gainesville, November 2019.
A bit less technical than the above version.

Teaching

Here are some task sheets I made to help students solidify their understanding of Calc 3 concepts:

Basic Tasks for Midterm 1

Basic Tasks for Midterm 2

Past Teaching