My focus in my research has been on parts of commutative algebra and algebraic geometry that can be approached combinatorially or computationally. In particular my research has blended techniques from toric varieties, monomial ideals, and computational mathematics.

- Virtual Resolutions of Monomial Ideals on Toric Varieties arXiv
- The SchurVeronese package in Macaulay2 arXiv
- Conjectures and computations about Veronese syzygies (Experimental Mathematics 2018) arXiv
- Random Flag Complexes and Asymptotic Syzygies (Algebra & Number Theory 2018) arXiv
- Random Toric Surfaces and a Threshold for Smoothness (Journal of Algebra 2019) arXiv

- Computing Betti Tables with HTCondor (HTCondor Week 2016)
- Random Toric Surfaces and a Threshold for Smoothness (KUMUNU 2017)
- Asymptotic Syzygies via Numerical Linear Algebra and High Throughput Computing (SIAM Conference on Applied Algebraic Geometry 2017 - Core Algorithms in Algebra and Geometry)
- Syzygies of Random Monomial Ideals (CMS Winter Metings 2017 - Toric Geometry)