I am broadly interested in arithmetic geometry, number theory, algebraic geometry, with particular interests in arithmetic statistics, Galois representations, monodromy representations, derived categories and perverse sheaves, moduli of curves and abelian varieties, and motivic/A1 homotopy theory 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).
A1 homotopy degree of covering maps of modular curves, with Sun Woo Park. (2021, submitted).
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)