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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.
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, to appear.
Faithfulness of top local cohomology modules in domains}, with J.~Jeffries, Math. Res. Letters, to appear.
The stable prime extension property}, with J.~Jeffries, preprint.
The F-rational signature and drops in the Hilbert-Kunz multiplicity (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.
Splitting of eM, strong F-regularity, and the existence of small Cohen-Macaulay modules, 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.