Code that I have written in Macaulay2 for my research is available on my Github.
Carlsson's Conjecture and the Generalized Total Rank Conjecture in Characteristic Two, Submitted.
Kostant Rho Decomposition I: Finite-Dimensional Representations (with S.V Sam and J. Weyman), Algebra & Number Theory.
Stable Sheaf Cohomology and Koszul--Ringel Duality (with C. Raicu), Submitted.
An infinite-dimensional character coincidence between Lie algebras of type B and BC (with S.V Sam), Submitted.
From Total Positivity to Pure Free Resolutions (with S.V Sam), Submitted.
Flagged Perturbations and Anchored Resolutions, Submitted.
Some Questions Arising from the Study of Cohomology on Flag Varieties (with Z. Gao, C. Raicu).
Differential Modules and Deformations of Free Complexes (with M. Banks), Collectanea Mathematica.
Stable sheaf cohomology on flag varieties (with C. Raicu), Journal of the AMS.
The Total Rank Conjecture in Characteristic Two (with M. Walker), Duke Math. Journal.
Ribbon Schur Functors for Koszul Algebras, Algebra & Number Theory.
Equivariant Resolutions Over Veronese Rings, (with A. Almousa, M. Perlman, S. Pevzner, and V. Reiner), Journal of the LMS.
Differential Modules with Complete Intersection Homology, (with M. Banks), Journal of Commutative Algebra.
A GL-Equivariant Complex Inducing Character Identities for Schur Modules, Submitted.
Detecting Golodness via Grobner Degeneration, Submitted.
Polarizations and Hook Partitions (with A. Almousa), Journal of Pure and Applied Algebra.
Products of Ideals and Golod Rings, Proceedings of the AMS.
On Restricted Powers of Complete Intersections, Communications in Algebra.
On Constructions Related to the Generalized Taylor Complex, Journal of Algebra.
Iterated Mapping Cones for Strongly Koszul Algebras, Submitted
Linear Strands of Initial Ideals of Determinantal Facet Ideals (with A. Almousa), Communications in Algebra.
DG Structure on Length 3 Trimming Complexes and Applications to Tor Algebras, Journal of Pure and Applied Algebra.
Vanishing of Avramov Obstructions for Products of Sequentially Transverse Ideals, Journal of Pure and Applied Algebra.
The DG Products of Peeva and Srinivasan Coincide, Acta Mathematica Vietnamica.
Minimal Free Resolutions of Certain Equigenerated Monomial Ideals, Journal of Algebra.
Determinantal Facet Ideals for Smaller Minors (with A. Almousa), Archiv der Mathematik.
DG Structure on The Length 4 Big From Small Construction, Journal of Algebra and Its Applications.
Resolution and Tor Algebra Structures of Grade 3 Ideals Defining Compressed Rings, Journal of Algebra.
Trimming Complexes and Applications to Resolutions of Determinantal Facet Ideals, Communications in Algebra, arXiv.
Structure Theory for a Class of Grade 3 Homogeneous Ideals Defining Type 2 Compressed Rings, Journal of Commutative Algebra.
Applications and Homological Properties of Local Rings with Decomposable Maximal Ideals (with S. Nasseh, S. Sather-Wagstaff, and R. Takahashi), Journal of Pure and Applied Algebra.