Research

My research interests are in commutative algebra and of a homological and combinatorial nature.  In particular, I enjoy constructing minimal free resolutions and leveraging differential graded algebra structures.

Papers

4. On the Gap Between Shellability and Vertex Decomposability

with John Lim

(in preparation)

3. DG Algebra Structures on Mapping Cones with an Application to Edge Ideals

with Hugh Geller, Des Martin, and Matt Mastroeni

arXiv: 2609.34020 [math.AC]

2. DG-Sensitive Pruning & a Complete Classification of DG Trees and Cycles

with Hugh Geller and Des Martin

Journal of Algebraic Combinatorics, 2026

1. Resolving the Module of Derivations on an n x (n+1) Determinantal Ring

Journal of Algebra, 2025