Publications

  1. The F-regularity of algebraic sets related to commutator matrices (2024), Journal of Algebra. journal version
  2. Barile-Macchia resolutions with Selvi Kara (2024), Journal of Algebraic Combinatorics. journal version

Preprints

  1. A family of simplicial resolutions which are DG-algebras with James Cameron, Sarasij Maitra, and Tim Tribone (2024). arXiv version
  2. Monomial ideals with minimal generalized Barile-Macchia resolutions with Huy Tai Ha and Aryaman Maithani (2024). arXiv version
  3. Minimal cellular resolutions of powers of graphs with Huy Tai Ha and Aryaman Maithani (2024). arXiv version
  4. Minimal cellular free resolutions of path ideals with Selvi Kara and Kyle Wang (2024). arXiv version
  5. The MorseResolutions package for Macaulay2 with Selvi Kara and Augustine O'Keefe (2023). arXiv version

I'd like to think of myself as a Jack of all trades, and master of one. Here are the broad topics I'm currently working on:

  • Constructing minimal free resolutions of monomial ideals
  • Persistence of associated primes of powers of monomial ideals
  • F-regularity/F-purity/F-injectivity
  • Golod rings
  • DG-algebras