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Totally integrally closed rings and extremal spaces, Pac. J. Math. 32 (1970), 767-779.

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The minimal prime spectrum of a commutative ring, Canadian J. Math. 23 (1971), 749-758.

Existence of topologies for commutative rings with identity, Duke Math. J. 38 (1971), 551-554.

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Finiteness properties of Lyubeznik's F-modules Contemporary Math. 448 (2007) 119-127.

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Quasilength, latent regular sequences, and content of local cohomology with Craig Huneke, Journal of Algebra 322 (2009) 3170-3193.

Homological invariants of modules over contracting endomorphisms with L. Avramov, S. Iyengar, and Y. Yao, Math. Annalen, 353 (2012) 275-291.

Ideals generated by quadratic polynomials, with T. Ananyan, Math. Res. Lett. 19 (2012) 233-244.

Test exponents for modules of finite phantom projective dimension with Y. Yao, Illinois J. Math. 56 (2012) 1095-1107.

Local cohomology with support in a parameter ideal with Y. Yao, J. Pure and Applied Algebra, J. Pure Appl. Algebra 217 (2013) 664-671.

F-purity, Frobenius splitting, and tight closure, volume on Commutative Algebra honoring David Eisenbud, 471-484, Springer, New York, 2013.

Cohen-Macaulay varieties, geomertric complexes and combinatorics, in The Mathematical Legacy of Richard P. Stanley, AMS, Providence, R.I., 2016, pp. 203-229.

On the support of local cohomology via Frobenius, with L. Núñez-Betancourt, Math. Res. Letters. 24 (2017), pp. 401-420.

Homological conjectures and lim Cohen-Macaulay sequences, in Homological and Computational Methods in Commutative Algebra, Springer INdAM Series 20, Springer, 2017, pp. 181-197. [In honor of Winfried Bruns. Primarily expository.]

Continuous closure, natural closure, and axes closure, with N. Epstein, Trans. Amer. Math. Soc. 370 (2018) 3315--3362.

Content of local cohomology, parameter ideals, and robust algebras, with W. Zhang, Trans.Amer. Math.Soc. 370 (2018) 7789-7814.

Finiteness properties and numerical behavior of local cohomology, Comm.~Algebra 47 (2019) 1-11. [In honor of Gennady Lyubeznik. Primarily expository.]

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.