Jay Yang

Research

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.

Papers

1. Syzygies of P1×P1: data and conjectures (with Juliette Bruce, Daniel Corey, Daniel Erman, Steve Goldstein, and Robert P. Laudone) arXiv
2. Homological and combinatorial aspects of virtually Cohen--Macaulay sheaves (with Christine Berkesch, Michael C. Loper, and Patricia Klien) Transactions of the Londom Mathematics Society 2021 arXiv
3. Combinatorial aspects of virtually Cohen--Macaulay sheaves (Extended Abstract, with Christine Berkesch, Michael C. Loper, and Patricia Klien) Séminaire Lotharingien de Combinatoire 2021
4. Asymptotic Degree of Random Monomial Ideals (with Lily Silverstein and Dane Wilburne) arXiv
5. Heuristics for l-torsion in Veronese Syzygies (with Caitlyn Booms and Daniel Erman) arXiv
6. Virtual Resolutions of Monomial Ideals on Toric Varieties Proceedings of the AMS Series B 2021 arXiv
7. The SchurVeronese package in Macaulay2 (with Juliette Bruce, Daniel Erman, and Steve Goldstein) arXiv
8. Conjectures and computations about Veronese syzygies (with Juliette Bruce, Daniel Erman, and Steve Goldstein) Experimental Mathematics 2018 arXiv
9. Random Flag Complexes and Asymptotic Syzygies (with Daniel Erman) Algebra & Number Theory 2018 arXiv
10. Random Toric Surfaces and a Threshold for Smoothness Journal of Algebra 2019 arXiv

Slides and Posters

• 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)