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The Frobenius structure of local cohomology (with F.\ Enescu), Algebra & Number Theory 2} (2008) 721-754.

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.

Continuous closure, natural closure, and axes closure , with N. Epstein, to appear in Trans. of the AMS.

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

Content of local cohomology, parameter ideals, and robust algebras, with W. Zhang, to appear in the Trans. of the AMS.

Homological conjectures and lim Cohen-Macaulay sequences, to appear in the Proceedings of the Conference on Homological and Computational Methods in Commutative Algebra (honoring Winfried Bruns), Cortona Italy, 2016.

Small subalgebras of polynomial rings and Stillman's conjecture, with Tigran Ananyan, preprint.

Strength conditions, small subalgebras, and Stillman bounds in dimension ≤ 4, with T. Ananyan, preprint.

An embedding theorem for modules of finite projective dimension (with Y. Yao), preprint.

The F-rational signature and drops in the Hilbert-Kunz multiplicity (with Y. Yao), preprint.

Second coefficients of Hilbert-Kunz functions for domains (with Y. Yao), preprint.

The Frobenius complexity is finite (with F. Enescu), 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.