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. The Scarf complex of squarefree powers, symbolic powers of edge ideals, and cover ideals of graphs with Nursel Erey and Aryaman Maithani (2025). arXiv version
  2. Edge ideals with linear quotients and without homological linear quotients with Kanoy Kumar Das and Aryaman Maithani (2025). arXiv version
  3. Realizing resolutions of powers of extremal ideals with Art M. Duval, Sara Faridi, Thiago Holleben, Susan Morey, and Liana M. Sega (2025). arXiv version
  4. Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions (2025). arXiv version
  5. A family of simplicial resolutions which are DG-algebras with James Cameron, Sarasij Maitra, and Tim Tribone (2024). arXiv version
  6. Monomial ideals with minimal generalized Barile-Macchia resolutions with Huy Tai Ha and Aryaman Maithani (2024). arXiv version
  7. Minimal cellular resolutions of powers of graphs with Huy Tai Ha and Aryaman Maithani (2024). arXiv version
  8. Minimal cellular free resolutions of path ideals with Selvi Kara and Kyle Wang (2024). arXiv version
  9. 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
  • Computing regularity of powers of ideals
  • F-regularity/F-purity/F-injectivity
  • Golod rings
  • DG-algebras