.
Publications
- Minimal cellular resolutions of powers of graphs (2026)
with Huy Tai Ha and Aryaman Maithani.
To appear in Electronic Journal of Combinatorics. [arXiv] - Permanental ideals of symmetric matrices (2025).
Proceedings of the American Mathematical Society. [journal]. [arXiv] - Edge ideals with linear quotients and without homological linear quotients (2026)
with Kanoy Kunar Das and Aryaman Maithani.
Mediterranean Journal of Mathematics. [journal]. [arXiv] - Maximal minors of generic matrices have rational singularities (2025)
with Manoj Kummini.
Archiv der Mathematik. [journal]. [arXiv] - The F-singularities of algebras defined by permanents (2025)
Collectanea Mathematica. [journal]. [arXiv] - Minimal cellular free resolutions of path ideals (2025)
with Selvi Kara and Kyle Wang.
Electronic Journal of Combinatorics. [journal]. [arXiv] - The Scarf complex of squarefree powers, symbolic powers of edge ideals, and cover ideals of graphs (2025)
with Nursel Erey and Aryaman Maithani.
Communications in Algebra. [journal]. [arXiv] - Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions (2025).
Journal of Pure and Applied Algebra. [journal]. [arXiv] - Monomial ideals with minimal generalized Barile-Macchia resolutions (2025)
with Huy Tai Ha and Aryaman Maithani.
Vietnam Journal of Mathematics. [journal]. [arXiv] - The F-regularity of algebraic sets related to commutator matrices (2024).
Journal of Algebra. [journal]. [arXiv] - Barile-Macchia resolutions (2024)
with Selvi Kara.
Journal of Algebraic Combinatorics. [journal]. [arXiv]
Preprints
- On Gotzmann thresholds and a conjecture of Bonanzinga and Eliahou (2025)
[arXiv] - Scarf complexes of connected and path ideals (2025)
with Richie Sheng*, Tim Tribone, and Deborah Wooton*.
[arXiv] - From neural codes to homological invariants: regularity and projective dimension of polarized neural ideals (2025)
[arXiv] - Projective monomial curves associated to numerical semigroups with multiplicity e, width e-1, and embedding dimension e-2 (2025)
with Om Prakash Bhardwaj and Omkar Javadekar.
[arXiv] - Admissible set and squarefree-power-like function with applications to squarefree symbolic powers (2025)
with Kanoy Kumar Das, Amit Roy, and Kamalesh Saha.
[arXiv] - Periodicity of ideals of minors over some local rings and under deformation (2025)
with Michale DeBellevue, Souvik Dey, K. Ganapathy, and Omkar Javadekar.
[arXiv] - Trees whose path ideals have linear quotients (2025)
with Kanoy Kumar Das, Animikha Dutta Dhar, Pranath S Karanth, and Aniruda Suswaram.
[arXiv] - Admissible matchings and the Castelnuovo-Mumford regularity of square-free powers (2025)
with Kanoy Kumar Das, Amit Roy, and Kamalesh Saha.
[arXiv] - Homological invariants of edge ideals of weighted oriented graphs (2025)
with Richie Sheng* and Debbie Wooton*.
[arXiv] - Realizing resolutions of powers of extremal ideals (2025)
with Art M. Duval, Sara Faridi, Thiago Holleben, Susan Morey, and Liana M. Sega.
[arXiv] - A family of simplicial resolutions which are DG-algebras (2024)
with James Cameron, Sarasij Maitra, and Tim Tribone.
[arXiv] - The MorseResolutions package for Macaulay2 (2023)
with Selvi Kara and Augustine O'Keefe.
[arXiv]
* denotes undergraduates.
I'd like to think of myself as a jack of all trades, and master of one. The only topic I can say I am an expert of is Barile-Macchia resolutions. 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
- Neural ideals
- Chip-firing game
- Test ideals in prime characteristic
- Squarefree powers, symbolic powers