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
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Conditions for Virtually Cohen--Macaulay Simplicial Complexes
(with Adam Van Tuyl)
arXiv
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CellularResolutions M2 Package
(with Aleksandra Sobieska)
arXiv
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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)
Journal of Pure and Applied Algebra
arXiv
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Syzygies of P1×P1: data and conjectures
(with Juliette Bruce, Daniel Corey, Daniel Erman, Steve Goldstein, and Robert P. Laudone)
Journal of Algebra
arXiv
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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
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Combinatorial aspects of virtually Cohen--Macaulay sheaves
(with Christine Berkesch, Michael C. Loper, and Patricia Klien)
Séminaire Lotharingien de Combinatoire
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Asymptotic Degree of Random Monomial Ideals
(with Lily Silverstein and Dane Wilburne)
Journal of Commutative Algebra
arXiv
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Characteristic Dependence of Syzygies of Random Monomial Ideals
(with Caitlyn Booms and Daniel Erman)
SIAM Journal on Discrete Mathematics
arXiv
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Virtual Resolutions of Monomial Ideals on Toric Varieties
Proceedings of the AMS Series B
arXiv
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The SchurVeronese package in Macaulay2
(with Juliette Bruce, Daniel Erman, and Steve Goldstein)
JSAG
arXiv
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Conjectures and Computations about Veronese Syzygies
(with Juliette Bruce, Daniel Erman, and Steve Goldstein)
Experimental Mathematics
arXiv
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Random Flag Complexes and Asymptotics Syzygies
(with Daniel Erman)
Algebra & Number Theory
arXiv
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Random Toric Surfaces and a Threshold for Smoothness
Journal of Algebra
arXiv
Slides and Posters