Research

For a more detailed overview of my research (and conferences attended, talks, etc.) please see my CV (last updated 06/02/2025).

Papers

[1] On Quasi-F-Purity of Excellent Rings (2025) https://arxiv.org/abs/2503.10778v1 (submitted)

Research Experiences

(Summer '22) University of Michigan MREG As a graduate student, I worked with a number of other graduate students (and was mentored by Professor Rachel Webb) to investigate problems in Geometric Invariant Theory. Here is a write-up detailing our findings during the program.

(Summer '19) University of Michigan REU I worked under professor Andrew Snowden to study and classify certain symmetric ideals of the infinite variable polynomial ring. We developed a geometric structure of these symmetric ideals and provided an equivalence similar to the Nullstellensatz.  The (now out of date) paper can be found here, and a (slightly out of date) poster here. 

(Fall '18) LoGM I worked under professor Alex Wright with a team of undergraduate and  graduate researchers to  build computer tools (written in C++ primarily) to aid in finding and visualizing saddle connections within triangulations on a surface. The poster can be found here.