.
Publications
* denotes undergraduates.
- Trees whose path ideals have linear quotients (2027)
with Kanoy Kumar Das, Animikha Dutta Dhar*, Pranath S Karanth*, and Aniruda Suswaram*.
Journal of Algebra and its Applications.
[journal]. [arXiv] - Periodicity of ideals of minors over some local rings and under deformation (2026)
with Michale DeBellevue, Souvik Dey, K. Ganapathy, and Omkar Javadekar.
To appear in The Bulletin of London Mathematical Society.
[arXiv] - On Gotzmann thresholds and a conjecture of Bonanzinga and Eliahou (2026)
To appear in Combinatorial Commutative Algebra.
[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
- Multiplicity of negative one of independence polynomials of graphs (2026)
with Om Prakash Bhardwaj, Sayeed Ikram*, Gargi Lather, Vasudeva Nanjangud*, and Chitra Venugopal.
[arXiv] - Golod ideals in combinatorial commutative algebra (2026)
with Benjamin Briggs and Alessandro De Stefani.
[arXiv] - The v-numbers of permanental ideals (2026)
with A. V. Jayanthan.
[arXiv] - 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] - 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] - 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