I am interested in arithmetic geometry and algebraic points on curves. More specifically, my current research is focused on infinite collections of degree d closed points on curves parameterized by abelian varieties.

I have some recent expository writing related to this area in my general exam paper and in an earlier paper written for the UW Math writing milestone.

Here are some papers from research projects that I participated in as an undergraduate.

• Relative Topological Complexity and Configuration Spaces (with Steven Scheirer and Shuhang Xue). Bull. Iran. Math. Soc. (2022) 

• The purely cosmetic surgery conjecture is true for the Kinoshita-Terasaka and Conway knot families (with Conan Gillis, Hanwen Liu, and Shuhang Xue). Preprint. (2020)