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-Sensitive Pruning and a Complete Classification of DG Trees and Cycles (joint with Hugh Geller and Henry Potts-Rubin to be published in the Journal of Algebraic Combinatorics)
Relating the Exterior Algebra of the Conormal Module to The Tor Algebra (in preparation)
Publications:
The Taylor Resolution Over a Skew Polynomial Ring (joint with Luigi Ferraro and Frank Moore)