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Small subalgebras of polynomial rings and Stillman's conjecture, with Tigran Ananyan, Journal of the Amer. Math. Soc. 33 (2020), 291-309.
Strength conditions, small subalgebras, and Stillman bounds in dimension ≤ 4, with T. Ananyan, Trans. Amer. Math. Soc. 373 (2020) 4757-4806; Corrigendum 374 (2021) 8307-8308.
Universal lex ideal approximations of extended Hilbert functions and Hamilton numbers, with T. Ananyan, Journal of Algebra 560 (2020) 1053-1074.
The Eisenbud-Green-Harris conjecture for defect two quadratic ideals, with S. Güntürkün, Math. Research Letters (27) (2020) 1341-1365.
Faithfulness of top local cohomology modules in domains, with J. Jeffries, Math. Res. Letters 27 (2020) 1755-1765.
The mathematical contributions of Craig Huneke, with B. Ulrich, J. Algebra 571 (2021), 1-14.
Extensions of primes, flatness, and intersection flatness, with J. Jeffries, Contemporary Mathematics 773 (2021) 63-81.
The F-rational signature and drops in the Hilbert-Kunz multiplicity, with Y. Yao, Algebra & Number Theory, to appear.
A Jacobian criterion for nonsingularity in mixed characteristic, with J. Jeffries, preprint, arXiv:2106.01996, June 4, 2021.
Splitting of eM, strong F-regularity, and the existence of small Cohen-Macalgulay modules, with Y. Yao, preprint.
An embedding theorem for modules of finite projective dimension, with Y. Yao, preprint.
Second coefficients of Hilbert-Kunz functions for domains, with Y. Yao, preprint.
A weak embedding theorem for modules of finite phantom projective dimension, with Y. Yao, preliminary preprint.
Lim Cohen-Macaulay sequences with B. Bhatt and L. Ma, preliminary preprint.
A weak embedding theorem for modules of finite phantom projective dimension, with Y. Yao, in preparation.
Homogeneous equational tight closure, with N. Epstein, in preparation.
Tight closure in equal characteristic zero, with C. Huneke, preprint, 204 pages.