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Small subalgebras of polynomial rings and
Stillman's conjecture (with T. Ananyan).
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Content of local cohomology,
parameter ideals, and robust algebras (with W. Zhang), to appear in Trans. of the AMS.
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On the support of local cohomology via Frobenius (with L. Núñez-Betancourt), Math. Res. Letters 24 (2017) 401-420.
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Continuous closure, natural closure, and axes closure,
(with N. Epstein), to appear in Trans. of the A.M.S.
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F-purity, Frobenius splitting, and tight closure,
volume on Commutative Algebra honoring David Eisenbud, 471-484, Springer, NY, 2013.
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Local cohomology with support in a
parameter ideal (with Y. Yao), J. Pure and Applied Algebra 217 (2013) 664-671.
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Test exponents for modules with
finite phantom projective dimension (with Y. Yao), Illinois J. Math. 56 (2012) 1095-1107.
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Ideals generated by quadratic polynomials
(with Tigran Ananayan), Math. Res. Letters, 19 (2012) 233-244.
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Homological invariants of modules over
contracting endomorphisms
(with L. Aramov, S. Iyengar, and Y. Yao), Math. Annalen, 353 (2012), 275-291.
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An embedding theorem for modules of finite
projective dimension (with Y. Yao).
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The F-rational signature and drops in the Hilbert-Kunz multiplicity (with Y. Yao).
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Second coefficients of Hilbert-Kunz functions
for domains (with Y. Yao).
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Tight closure
in equal characteristic zero (with C. Huneke, 204 pages).
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Quasilength, latent regular sequences, and content of local cohomology
(with C. Huneke), Journal of Algebra 322 (2009) 3170-3193.
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The Frobenius structure of local cohomology,
(with F. Enescu), Algebra & Number Theory 2 (2008) 721-754.
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* Fine behavior of symbolic powers of ideals * (with C. Huneke)
Illinois J. Math. 51 (2007), 171--183.

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Some finiteness properties
of Lyubeznik's F-modules, Proceedings
of the Midwest Algebraic Geometry Seminar, 2005 (MAGIC05)
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Lower bounds for Betti numbers of special
extensions
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Diamond closure
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Geometry with Applications, Papers from Shreeram S. Abhyankar's
70th Birthday Conference, Springer-Verlag,
Berlin - Heidelberg - New York, 2004, pp. 511-523.
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Parameter-like sequences and extensions of
tight closure
in Commutative Ring Theory and Applications
(Proc. of the Fourth International Conference, held in Fez, Morocco,
June 7-12, 2001), Marcel Dekker, New York, 2003, pp. 267-287.
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Big Cohen-Macaulay algebras in dimension
three via Heitmann's theorem, Journal of Algebra
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Presentation depth and the Lipman-Sathaye
Jacobian Theorem, Homology, Homotopy and
Applications (International Press, Cambridge, MA) Vol. 4 (2002) 295-314.
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Comparison of symbolic and ordinary
powers of ideals (with C. Huneke), Inventiones Math.
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Localization
and test exponents for tight closure (with C. Huneke), Michigan
Math. J. 48 (2000) 305-329.
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The tight
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(2000) 184-203.
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Failure of
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and finite Tor dimension in absolute integral closures
(with Ian M. Aberbach), Journal of Pure and Applied
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Solid Closure, in Commutative Algebra:
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F-regularity, test elements, and smooth base change (with C.
Huneke), Trans. Amer. Math. Soc. 346 (1994), 1-62.
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** Indecomposable canonical
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Multiplicities and Birational Algebra,
Contemp. Math. 159, Amer. Math. Soc.,
Providence, R. I., 1994, 197-208.
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** Absolute integral closures are big
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