Research

For a more detailed overview of my research (and service, talks, etc.) please see my CV (last updated 10/09/2025).

Papers

[3] Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings (joint with Marta Benozzo, Vaibhav Pandey, Pedro Ramírez-Moreno, Karl Schwede, Prashanth Sridhar) (2025) https://arxiv.org/abs/2509.07217 (submitted)

[2] On F-Pure Thresholds and Quasi-F-Purity of hypersurfaces (joint with JJ Garzella) (2025) https://arxiv.org/abs/2509.06211 (submitted)

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

Research Experiences

(These were mostly from undergrad and early in graduate school and don't necessarily represent my current interests.)

(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.  My REU report can be found here, and a related 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.