Jay Yang

Research

My recent research focuses on multigraded syzygies, in particular virtual resolutions. But I also have a strong interest in syzygies more broadly as well as connections between Algebraic Geometry, Commutative Algebra, and Combinatorics.

My research has blended combinatorial, computation, algebraic techniques to study syzygies. This includes a particular focus on monomial ideals as well as toric varieties.

Papers and Preprints

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

  1. Subdividing simplicial virtual resolutions with homology
    Preprint arXiv:2601.18755
    Eric Nathan Stucky and Jay Yang
  2. Cellular free resolutions for normalizations of toric ideals
    Preprint arXiv:2512.17871
    Christine Berkesch, Lauren Cranton Heller, Gregory G. Smith, and Jay Yang
  3. Conditions for virtually Cohen--Macaulay simplicial complexes
    Advances in Applied Math DOI arXiv:2311.17806
    Adam Van Tuyl and Jay Yang
  4. CellularResolutions M2 package
    Preprint arXiv:2307.08224
    Aleksandra Sobieska and Jay Yang
  5. Hadamard products and binomial ideals
    Journal of Pure and Applied Algbera DOI arXiv:2211.1421
    Büşra Atar, Kieran Bhaskara, Adrian Cook, Sergio Da Silva, Megumi Harada, Jenna Rajchgot, Adam Van Tuyl, Runyue Wang, and Jay Yang
  6. Syzygies of P1×P1: data and conjectures
    Jorunal of Algebra DOI arXiv:2104.14598
    Juliette Bruce, Daniel Corey, Daniel Erman, Steve Goldstein, Robert P. Laudone, and Jay Yang
  7. Homological and combinatorial aspects of virtually Cohen--Macaulay sheaves
    Transactions of the London Mathematics Society DOI arXiv:2012.14047
    Christine Berkesch, Michael C. Loper, Patricia Klein, and Jay Yang
  8. Combinatorial aspects of virtually Cohen--Macaulay sheaves
    Séminaire Lotharingien de Combinatoire
    Christine Berkesch, Michael C. Loper, Patricia Klein, and Jay Yang
  9. Asymptotic degree of random monomial ideals
    Journal of Commutative Algebra DOI arXiv:2009.05174
    Lily Silverstein, Dane Wilburne, and Jay Yang
  10. Characteristic dependence of syzygies of random monomial ideals
    SIAM Journal on Discrete Mathematics DOI arXiv:2007.13914
    Caitlyn Booms, Daniel Erman, and Jay Yang
  11. Virtual resolutions of monomial ideals on toric varieties
    Proceedings of the AMS Series B DOI arXiv:1906.00508
    Jay Yang
  12. The SchurVeronese package in Macaulay2
    JSAG DOI arXiv:1905.12661
    Juliette Bruce, Daniel Erman, Steve Goldstein, and Jay Yang
  13. Conjectures and computations about Veronese syzygies
    Experimental Mathematics DOI arXiv:1711.03513
    Juliette Bruce, Daniel Erman, Steve Goldstein, and Jay Yang
  14. Random flag complexes and asymptotics syzygies
    Algebra & Number Theory DOI arXiv:1706.01488
    Daniel Erman and Jay Yang
  15. Random toric surfaces and a threshold for smoothness
    Journal of Algebra DOI arXiv:1605.08739
    Jay Yang