Research

Papers and Preprints

1. The Singular Cohomology Ring of a Uniform Matroid: Combinatorics and Lefschetz Properties
   Preprint. Preliminary Draft

2. The Singular Cohomology Ring of a Matroid
   Submitted. https://arxiv.org/abs/2412.05732

3. The Unipotent Tropical Fundamental Group (with Eric Katz)
   Submitted. https://arxiv.org/abs/2406.13973

Dissertation

Tor Groups of the Stanley–Reisner Ring of a Matroid
Most of the results from my dissertation appear in papers 1 and 2 above. Link to PDF.

From my Undergrad Days

1. Limit Sets and Internal Transitivity in Free Group Actions (with Jonathan Meddaugh)
   Preprint. https://arxiv.org/abs/1908.07382.

2. On 2-coloring the integers to forbid a distance and monochromatic translates of a triangle
   Geombinatorics 27 (2018), no.4, 137–146.