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

See also: https://arxiv.org/a/yang_j_7.html

1. Hadamard Products and Binomial Ideals (with Büşra Atar, Kieran Bhaskara, Adrian Cook, Sergio Da Silva, Megumi Harada, Jenna Rajchgot, Adam Van Tuyl, and Runyue Wang) arXiv
2. Syzygies of P1×P1: data and conjectures (with Juliette Bruce, Daniel Corey, Daniel Erman, Steve Goldstein, and Robert P. Laudone) arXiv
3. Homological and combinatorial aspects of virtually Cohen--Macaulay sheaves (with Christine Berkesch, Michael C. Loper, and Patricia Klien) Transactions of the London Mathematics Society arXiv
4. Combinatorial aspects of virtually Cohen--Macaulay sheaves (with Christine Berkesch, Michael C. Loper, and Patricia Klien) Séminaire Lotharingien de Combinatoire
5. Asymptotic Degree of Random Monomial Ideals (with Lily Silverstein and Dane Wilburne) arXiv
6. Heuristics for l-torsion in Veronese Syzygies (with Caitlyn Booms and Daniel Erman) arXiv
7. Virtual Resolutions of Monomial Ideals on Toric Varieties Proceedings of the AMS Series B arXiv
8. The SchurVeronese package in Macaulay2 (with Juliette Bruce, Daniel Erman, and Steve Goldstein) JSAG arXiv
9. Conjectures and Computations about Veronese Syzygies (with Juliette Bruce, Daniel Erman, and Steve Goldstein) Experimental Mathematics arXiv
10. Random Flag Complexes and Asymptotics Syzygies (with Daniel Erman) Algebra & Number Theory arXiv
11. Random Toric Surfaces and a Threshold for Smoothness Journal of Algebra arXiv

Slides and Posters