Publications

Published

(2026) Bounds on the plus-pure thresholds of some hypersurfaces in (ramified) regular rings ArXiv
joint with Marta Benozzo, Vaibhav Pandey, Pedro Ramírez-Moreno, Karl Schwede, and Prashanth Sridhar
Mathematische Zeitschrift, (to appear)
(2026) On quasi-F-purity of excellent rings ArXiv Journal
Communications in Algebra 54 (2026) no. 4, 1760-1771

Preprints

(2025) On F-Pure thresholds and quasi-F-Purity of hypersurfaces ArXiv
joint with Jack J Garzella
Submitted.

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. Paper

  • (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 for these symmetric ideals and provided an equivalence similar to the Nullstellensatz. Paper Poster

  • (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. Poster