Research

I am broadly interested in arithmetic geometry, number theory, algebraic geometry, with particular interests towards arithmetic statistics, Galois and monodromy representations, moduli of curves and abelian varieties, and enumerative geometry. 

Preprints / ePrints / Publications

• Cohen-Lenstra Heuristics and Vanishing of Zeta Functions of Trielliptic Curves over Finite Fields, Thesis. (2024).

• Computing nonsurjective primes associated to Galois representations of genus 2 curves, with B. Banwait, A. Brumer, H. Kim, Z. Klagsbrun, J. Mayle, P. Srinivasan, I. Vogt. (2024, in LuCaNT: LMFDB, Computation, and Number Theory, American Mathematical Society).

  • Here is the arXiv draft

  • Here is the accepted draft

• A1 homotopy degree of covering maps of modular curves, with Sun Woo Park. (2021, submitted).

  • Here is the arXiv draft

• On Types of Elliptic Pseudoprimes, with Liljana Babinkostova and André Hernández-Espiet. (2021, journal of Groups, Complexity, Cryptology 13)

• On a Modification of the Agrawal-Biswas Primality Test. (2018, ePrint arXiv)

• Local Conjugacy in GL_2(Z/p^2Z). (2017, ePrint arXiv)