My research interests are in commutative algebra, primarily in the homological aspect. I love working with and understanding resolutions and differential graded algebra structures and applying these tools to a variety of problems.
Preprints:
DG Algebra Structures on Mapping Cones with an Application to Edge Ideals - in preparation
Relating the Exterior Algebra of the Conormal Module to The Tor Algebra
Publications:
The Taylor Resolution Over a Skew Polynomial Ring (joint with Luigi Ferraro and Frank Moore) - 2025
DG-Sensitive Pruning and a Complete Classification of DG Trees and Cycles (joint with Hugh Geller and Henry Potts-Rubin) published in the Journal of Algebraic Combinatorics - 2026