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Publications
- The F-regularity of algebraic sets related to commutator matrices (2024), Journal of Algebra. journal version
- Barile-Macchia resolutions with Selvi Kara (2024), Journal of Algebraic Combinatorics. journal version
Preprints
- 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
- Edge ideals with linear quotients and without homological linear quotients with Kanoy Kumar Das and Aryaman Maithani (2025). arXiv version
- Realizing resolutions of powers of extremal ideals with Art M. Duval, Sara Faridi, Thiago Holleben, Susan Morey, and Liana M. Sega (2025). arXiv version
- Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions (2025). arXiv version
- A family of simplicial resolutions which are DG-algebras with James Cameron, Sarasij Maitra, and Tim Tribone (2024). arXiv version
- Monomial ideals with minimal generalized Barile-Macchia resolutions with Huy Tai Ha and Aryaman Maithani (2024). arXiv version
- Minimal cellular resolutions of powers of graphs with Huy Tai Ha and Aryaman Maithani (2024). arXiv version
- Minimal cellular free resolutions of path ideals with Selvi Kara and Kyle Wang (2024). arXiv version
- 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