I’m interested in various topics in arithmetic geometry, like ranks of elliptic curves over function fields, curves over finite fields, Jacobian varieties
and Galois representations.

### Publications

- Vanishing of Hyperelliptic L-Functions at the Central
Point, J. Number Theory 191 (2018), 85-103.
- Effective Bounds on the Dimensions of Jacobians Covering Abelian Varieties (Joint with Juliette Bruce), submitted
- Newton polygons of cyclic covers of the projective line branched at three points (Joint with Elena Mantovan, Rachel Pries, Yunqing Tang), to appear in Research Directions in Number Theory: Women in Numbers IV.
- Newton Polygons Arising for Special Families of Cyclic Covers of the Projective Line (Joint with Elena Mantovan, Rachel Pries, Yunqing Tang), to appear in Research in Number Theory
- Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with Z/2ZxZ/8Z-torsion (Joint with Stephanie Chan, Jeroen Hanselman), ANTS XIII
- Newton Polygon Stratification of the Torelli Locus in PEL-type Shimura Varieties (Joint with Elena Mantovan, Rachel Pries, Yunqing Tang), submitted
- Nonvanishing of hyperelliptic zeta functions over finite fields (Joint with Jordan Ellenberg, Mark Shusterman)

### Slides and Poster

- Elliptic curves with rational Z2xZ8-torsion
- Poster
- Slides: Vanishing of Hyperelliptic L-Functions at the Central
Point
- Slides: Effective Bounds on the Dimensions of Jacobians
Covering Abelian Varieties