## Ravi Donepudi

I am a sixth year Ph.D student in the mathematics department at the University of Illinois at Urbana-Champaign. I am interested in arithmetic geometry, specifically questions involving curves and abelian varieties over fields of positive characteristic. My advisor is Patrick Allen.

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

**Current Teaching:**Math 241H - Honors Multivariable Calculus

Here are some task sheets to help you prepare for the midterms:

**Past Teaching**

© 2020 Ravi Donepudi

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