Research

My Research Interests

My research mainly focuses on number theory; specifically, I am interested in diophantine geometry and arithmetic dynamics. I am currently researching topics related to Manin's Conjecture, equidistribution results, and iterated monodromy groups.

Publications

• Transitive and non-transitive subgroups of permutation groups, (with  J. Miller, Y. Qiu, T. Tucker, Z. Zhu), to appear in Involve, Preprint (2024)

• Distribution of rational points on toric varieties: all the heights, (with R. Takloo-Bighash), Research in the Mathematical Sciences 9, 66, Article  (2022)

Expository Papers

• The Method of Chabauty-Coleman,  (2019)

• Abstract differential geometry via sheaf theory, (2015)

• The Hopf-Rinow Theorem, (2014)

Selected Talks 

Here is a list of some of the conferences and workshops where I have given a talk.

•  AMS Spring Central Sectional Meeting 2023, Special Session on Arithmetic Statistics, Cincinnati, OH, (April 2023)

• ZORP: Zoom on Rational Points 2021, Paris, France, (March 2021).

• Joint Math Meetings 2021, AMS Special Session on Algebraic and Arithmetic Geometry, Washington, DC, (January 2021).

• Chicago Number Theory Day 2020, Chicago, IL, (June 2020).

• Arizona Winter School 2020 on Nonabelian Chabauty, Tucson, AZ. (Working group presentation, March 2020)

• Midwest Algebraic Geometry Graduate Conference 2018. (Poster presentation, May 2018)

• Istanbul Algebraic and Arithmetic Geometry Meetings 2015, Istanbul, Turkey (May 2015).