* Frobenius splitting, strong F-regularity, and small Cohen-Macaulay modules
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* A Jacobian criterion for nonsingularity in mixed characteristic
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* F-rational signature and drops in the Hilbert-Kunz multiplicity
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* Extensions of primes, flatness, and intersection flatness
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* Faithfulness of top local cohomology modules in domains
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* The Eisenbud-Green-Harris conjecture for defect two quadratic ideals
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* Universal lex approximations of extended Hilbert functions and
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* Strength conditions, small subalgebras, and Stillman bounds
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* Small subalgebras of polynomial rings and
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Content of local cohomology,
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Continuous closure, natural closure, and axes closure,
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On the support of local cohomology via
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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
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Test exponents for modules with
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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
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An embedding theorem for modules of finite
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Second coefficients of Hilbert-Kunz functions
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Tight closure
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Quasilength, latent regular sequences, and content of local cohomology
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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)
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Some finiteness properties
of Lyubeznik's F-modules, Proceedings
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Lower bounds for Betti numbers of special
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Diamond closure
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Parameter-like sequences and extensions of
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Big Cohen-Macaulay algebras in dimension
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Presentation depth and the Lipman-Sathaye
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Comparison of symbolic and ordinary
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Localization
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The tight
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** Indecomposable canonical
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** Absolute integral closures are big
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