My research is in arithmetic statistics. My thesis focuses on counting Steinitz classes, in particular finding the density of extensions of a number field with a fixed Galois group that have a certain Steinitz class. Generally, I enjoy using methods in algebraic and analytic number theory to count and classify algebraic structures.
Equidistribution of realizable Steinitz classes for cyclic Kummer extensions to appear in Journal of Number Theory.
Statistics on Almost-Fibonacci Pattern Avoiding Permutations (with Yihan Qin), Minnesota Journal of Undergraduate Mathematics 7 (2022).
Equidistribution of realizable Steinitz classes for cyclic Kummer extensions – Invited speaker at Five College Number Theory Seminar – Fall 2025
Equidistribution of realizable Steinitz classes for cyclic Kummer extensions – Invited speaker at Special Session for Asymptotics in Number Theory, AMS East Regional Meeting – Spring 2025
Distribution of Steinitz classes for Kummer Extensions – Connecticut Number Theory Conference (CTNT) – Summer 2024
Steinitz Classes of Number Fields – UMass Graduate Student Seminar (GRASS) – Spring 2024
Statistics on Almost-Fibonacci Pattern Avoiding Permutations – Northfield Undergraduate Mathematics Symposium (NUMS) – Fall 2019