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Publications
* denotes undergraduates.
- Trees whose path ideals have linear quotients (2026)
with Kanoy Kumar Das, Animikha Dutta Dhar*, Pranath S Karanth*, and Aniruda Suswaram*.
To appear in Journal of Algebra and its Applications.
[arXiv] - Realizing resolutions of powers of extremal ideals (2026)
with Art M. Duval, Sara Faridi, Thiago Holleben, Susan Morey, and Liana M. Sega.
To appear in Combinatorial Theory.
[arXiv] - Minimal cellular resolutions of powers of graphs (2026)
with Huy Tai Ha and Aryaman Maithani.
Electronic Journal of Combinatorics.
[journal]. [arXiv] - Permanental ideals of symmetric matrices (2026).
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 Legendrian Thurston-Bennequin-symmetrical graphs (2026)
with Tanushree Shah.
[arXiv] - On licci squarefree monomial ideals (2026)
with Om Prakash Bhardwaj and Omkar Javadekar.
[arXiv] - Realizable (reg, deg h)-pairs for cover ideals via independence polynomials (2026)
with Jennifer Biermann, Selvi Kara, Augustine O'Keefe, Joseph Skelton, Gabriel Sosa Castillo, and Dalena Vien.
[arXiv] - Symbolic powers and integral closures via extremal ideals (2026)
with Art M. Duval, Sara Faridi, Thiago Holleben, Susan Morey, and Liana M. Sega.
[arXiv] - 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] - 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] - 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]
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:
- Frobenius singularities
- Combinatorial commutative algebra
- Discrete Morse theory in free resolutions
- Differentially graded algebra structures
- Infinite free resolutions
- Independence polynomials of graphs
- Game theory