Journal papers:
1980

On the symmetric and Rees algebra of an ideal generated by a
dsequence, J. Algebra 62 (1980), 268275.
1981

The perfection of BuchsbaumEisenbud varieties and generic modules of projective dimension two, Trans. Amer. Math. Soc. 265 (1981), 211233.

On the symmetric algebra of a module, J. Algebra 69 (1981), 113119.

Powers of Ideals generated by weak dsequences, J. Algebra 68 (1981), 471509.

Symbolic powers of prime ideals and special graded algebras, Comm. in Algebra 9(4) (1981), 339366.

A characterization of locally CohenMacaulay completions, Pac. Jour. of Math. 94 (1981), 131138.

Almost complete intersections and factorial rings, Jour. of Algebra 71 (1981), 179188.
1982

The theory of dsequences and powers of ideals,
Advances in Mathematics 46 (1982), 249279.

On the associated graded algebra of an ideal, Illinois Jour. of Math. 26 (1982), 121137.

Symbolic powers of primes and weak dsequences, Proc. of the Algebra Conf., George Mason University, 1979, Marcel Dekker
68 (1982), 173200.

Linkage and the symmetric algebra of ideals, A.M.S., Proc. of the Jacobson Conf., eds. S. Amitsur, D. Saltman, and G. Seligman, Contemporary Mathematics 13 (1982), 229236.

On the finite generation of symbolic blowups,
Math. Zeitschrift 179(1982), 465472.

Graded rings associated to an ideal,
Conf. on Commutative Algebra, Katata, Japan, ed. by H. Matsumura, Proceedings of the Ninth Taniguichi Symposium (1982), 1519.

A remark concerning multiplicities, Proc. Amer. Math. Soc.
85 (1982), 331332.

On the normality of Schubert varieties (with V. Lakshmibai),
Proc. Indian Acad. Sc. 91 (1982), 6571.

Linkage and the Koszul homology of ideals, Amer. J. Math.
104 (1982), 10431062.
1983

CohenMacaulay Rees algebras and their specialization (with
D. Eisenbud), Journal of Algebra 81 (1983), 202224.

Strongly CohenMacaulay schemes and residual intersections,
Trans. Amer. Math. Soc. 277(2) (1983), 739763.

Invariants of liaison,
Proceedings of the Third Midwest Algebraic Geometry Conference,
ed. by I. Dolgachev, Ann Arbor, SpringerVerlag Lecture Notes in Math. 1008 (1983), 6574.
1984

Numerical invariants of liaison classes, Inventiones Math.
75 (1984), 301325.
1985

The Koszul homology of an ideal, Advances Math.
56 (1985), 295318.

Deformations and divisor class groups (with B. Ulrich), Amer. J. Math. 107 (1985), 12651303.

A characterization of Kempf varieties by means of standard monomials and
the geometric consequences (with V. Lakshimibai), J. Algebra
94 (1985), 52105.

Complete local domains of type two are CohenMacaulay (with D. Costa
and M. Miller), Bulletin London Math. Soc.
17 (1985), 2931.

Criteria for complete intersections, J. London Math. Soc.
32 (1985), 1930.

A note on the multiplicity of CohenMacaulay algebras with pure
resolution (with M. Miller), Canadian J. Math.
37 (1985), 11491162.

A criterion for intersection multiplicity one (with R. Achilles and
W. Vogel), Nagoya Math. J.
100 (1985), 4963.
1986

Dimension and components of symmetric algebras (with M. Rossi),
J. Algebra
98 (1986), 200210.

Liaison of monomial curves in P^{3} (with H. Bresinsky),
J. fur die reine und Angewandte Math.
365 (1986), 3366.

Some dimension three cases of the canonical element conjecture (with J. Koh),
Proc. Amer. Math. Soc.
98 (1986), 394398.

A criterion for spots (with W. Heinzer and J. Sally),
Kyoto J. Math.
26 (1986), 667671.

Determinantal ideals of linear type,
Archiv. der Math.
47 (1986), 324329.

Integral closures and primary components of ideals in three dimensional
regular local rings,
Math. Annalen
275 (1986), 617635.

Unmixed ideals in 3dimensional regular local rings,
Atas da 9a Escola de Algebra,
(1986), 524.
1987

The structure of linkage (with B. Ulrich),
Annals of Math.
126 (1987), 277334.

Hilbert functions and symbolic powers,
Michigan J. Math.
34 (1987), 293318.
1988

Birational extensions in dimension two and integrally closed ideals (with
J. Sally), J. Algebra 115 (1988), 481500.

Minimal linkage and the Gorenstein locus of an ideal (with B. Ulrich), Nagoya J. Math.
109 (1988), 159167.

Algebraic linkage (with B. Ulrich),
Duke Journal of Mathematics
56 (1988), 415430.

Tight closures of ideals (with M. Hochster),
Bulletin Amer. Math. Soc.
18 (1988), 4548.

Residual intersections (with B. Ulrich),
J. fur die reine und Angewandte Math.
390 (1988), 120.
1989

Reduced normal cones are domains (with A. Simis and W. Vasconcelos)
Contemporary Mathematics
88 (1989), 95102.

Complete ideals in two dimensional regular local rings,
Commutative Algebra, Math. Sci. Research Inst. Publ.
15 (1989), 325338.

Powers of Licci ideals (with B. Ulrich),
Commutative Algebra, Math. Sci. Research Inst. Publ.
15 (1989), 339346.

Tight closure (with M. Hochster),
Commutative Algebra, Math. Sci. Research Inst. Publ.
15 (1989), 305324.

Tight closure and strong $F$regularity (with M. Hochster),
Mèmoire de la Societè Mathèmatique de France 38 (1989), 119133.
1990

Tight closure, invariant theory, and the BriançonSkoda theorem (with M. Hochster), J. Amer. Math. Soc. 3 (1990), 31116.

Zeros of differentials along onefibered ideals (with R. Fedder and R. Hübl), Proc. Amer. Math. Soc.
108 (1990), 319326.

On the vanishing of local cohomology modules (with G. Lyubeznik), Inventiones Math. 102 (1990), 7393.

Generic residual intersections (with B. Ulrich), Commutative Algebra Proceedings: Salvador, Lecture Notes in Mathematics
1430 (1990), 4760.

Ideals with a regular sequence as syzygy, in Appendix to: A Beauville, Sur l
es hypersurfaces dont les section hyperplane sont
á modulo censtant \inbook Grothendieck Festschrift I (with D. Eisenbud)
(1990), 121132.
1991

Tight closure and elements of small order in integral extensions (with M. Hochster), J. Pure Applied Algebra 71 (1991), 233248.

Cofiniteness and vanishing of local cohomology modules (with J. Koh),
Math. Proc. Camb. Phil. Soc. 110 (1991), 421429.

Absolute integral closures are big CohenMacaulay algebras in
characteristic p (with M. Hochster),
Bull. Amer. Math. Soc.
24 (1991), 137143.

Absolute integral closure and big CohenMacaulay algebras,
Proc. of the International Congress of Math., Kyoto, 1990, Vo. l I, Math. Soc. of Japan (1991), 339349.
1992

Almost complete intersections (with J. Koh), J. Algebra,
145 (1992), 2231.

Powers of ideals having small analytic deviation (with S. Huckaba) Amer. J. Math. 114 (1992), 367403.

Infinite integral extensions and big CohenMacaulay algebras (with M. Hochster), Annals Math. 135 (1992), 5389.

On the structure of certain normal ideals (with B. Ulrich and
W. Vasconcelos), Compositio Math. 84 (1992), 2542.

Direct methods for primary decomposition (with D. Eisenbud and
W. Vasconcelos), Inventiones Math. 110 (1992), 207236.

Local properties of Licci ideals (with B. Ulrich),
Math. Z. 211 (1992), 129154.

Uniform bounds in noetherian rings, Inventiones Math.
107 (1992), 203223.

Problems in local cohomology, Free Resolutions in Commutative
Algebra and Algebraic Geometry Sundance 90, Res. Notes in Math.,
Jones and Barlett 2 (1992), 93108.

Degeneracy of Schubert varieties (with V. Lakshimibai),
Contemporary Math. 139 (1992), 181235.
1993

Rees algebras of ideals having small analytic deviation (with S. Huckaba) Trans. Amer. Math. Soc. 339 (1993), 373402.

Bass numbers of local cohomology modules (with R. Sharp)
Trans. Amer. Math. Soc. 339 (1993), 765779.

Phantom homology (with M. Hochster), Memoirs Amer. Math. Soc.
490 (1993).

Localization of tight closure and modules of finite phantom projective dimension (with I.Aberbach and M. Hochster),
J. reine u. Angew. Math. 434 (1993), 67114.

Hyperplane sections of algebraic varieties (with B. Ulrich)
Journal of Algebraic Geometry l2 (1993), 487505.

An improved BriançonSkoda theorem with applications to the CohenMacaulayness of Rees algebras (with I. Aberbach)
Math. Annalen 297 (1993), 343370.
1994

A quick proof of the HartshorneLichtenbaum vanishing theorem (with
M. Brodmann), Algebraic Geometry and Its Applications, SpringerVerlag, New YorkBerlin, (1994), 305308

Tight closure of parameter ideals and splitting in module finite
extensions (with M. Hochster),
Journal of Algebraic Geometry,
3 (1994), 599670.

Canonical modules and connectedness (with M. Hochster),
Contemporary Math.
159 (1994), 197208.

Torsion in tensor products and the rigidity of Tor (with R. Wiegand) Math. Annalen,
299 (1994), 449476.

Fregularity and smooth base change (with M. Hochster),
Trans. Amer. Math. Soc. 346 (1994), 160.
1995

Reduction numbers, Rees rings, and Pfaffian ideals (with I. Aberbach and S. Huckaba), J. Pure Applied Algebra
102 (1995), 116.

Core of ideals in twodimensional regular local rings (with I. Swanson),
Michigan J. Math.
42 (1995), 193208.

Reduction numbers, BriançonSkoda theorems and the depth of Rees algebras
(with I. Aberbach and N.V. Trung),
Compositio Math.
97 (1995), 403434.

Applications of the existence of big CohenMacaulay
algebras (with M. Hochster)
Advances Math.
113 (1995), 45117.

Residual intersections and the number of equations defining projective varie
ties (with H. Martin), Communications Alg.
23 (1995), 23452376.

On reduction exponents of ideals with Gorenstein formring (with M. Herrmann
and J. Ribbe), Proc. Edinburgh Math. Soc.
38 (1995), 449463.
1996

A theorem of BriançonSkoda type for regular local rings
containing a field (with I. Aberbach), Proc. Amer. Math. Soc.
124 (1996), 707714.

A tight closure approach to arithmetic Macaulayfication (with I. Aberbach and K. Smith) Illinois J. Math.
40 (1996), 310329.

On the structure of Gorenstein ideals of deviation two (with B.
Ulrich and W. Vasconcelos), Results in Math.
29 (1996), 9099.
1997

Gaussian polynomials and content ideals (with W. Heinzer),
Proc. Amer. Math. Soc. 125 (1997), 739746.

Tight closure and the Kodaira vanishing theorem (with K. Smith),
J. fur die reine und Angewandte Math.
484 (1997), 127152.

The height of ideals and regular sequences (with V. Trivedi),
manu. math. 93 (1997), 137142.

Tight closure and strong test ideals, Jour. Pure Applied Algebra
122 (1997), 243250.

Tensor products of modules, rigidity, and local cohomology (with R. Wiegand), Math. Scand.
81 (1997), 161183.
1998

Integral closures of ideals (with A. Corso and W. Vasconcelos),
manu. math.
95 (1998), 331348.

The DedekindMertens lemma and the content of polynomials (with W. Heinzer),
Proc. Amer. Math. Soc.
126 (1998), 13051310.

Symbolic squares in regular local rings (with J. Ribbe),
Math. Z.
229 (1998), 3144.

A generalized DedekindMertens lemma and its converse (with A. Corso and W. Heinzer), Transactions Amer. Math. Soc.
350 (1998), 50955109.
1999

Normal ideals in regular rings (with Sam Huckaba), J. reine angew. Math. 510 (1999), 6382.

Hyman Bass and Ubiquity: Gorenstein Rings, Contemporary Math. 243 (1999), 5578.
2000

A cancellation theorem for ideals, J. Pure Applied Alg. 152 (2000), 123132.

Desingularizations and the uniform ArtinRees theorem, J. London. Math. Soc. 62 (2000), 740756.

Test exponents and localization for tight closure (with M. Hochster), Mich. Math. J. 48 (2000), 305330.

The saturation of Frobenius powers of ideals, Comm. Alg. 28 (2000), 55635572.

Introduction to the collected papers of Joseph Lipman, Queen's
Papers in Pure and Applied Mathematics, 117 (2000), 112.
2001

Vanishing theorems for complete intersections (with D. Jorgensen and R. Wiegand), J. Alg. 238 (2001), 684702.

Fiber cones and the integral closure of ideals (with R. Hübl),
Collect. Math. 52 (2001), 85100.

Frational rings and the integral closure of ideals II (with I. Aberbach),
in 'Ideal Theorectic Methods in Commutative Algebra,' edited by
D. Anderson and I. Papick, (2001) 112, Marcel Dekker, New York.

Frational rings and the integral closure of ideals (with I. Aberbach),
Mich. J. Math. 49 (2001), 311.

A simple proof of some generalized principal ideal theorems (with D. Eisenbud and B. Ulrich),
Proc. Amer. Math. Soc. 129 (2001), 25352540.
2002

Unmixed local rings with minimal HilbertKunz multiplicity are regular (with Y. Yao),
Proc. Amer. Math. Soc. 130 (2002), 661665.

Comparison of symbolic and ordinary powers of ideals (with M. Hochster),
Invent. Math. 147 (2002), 349369.

Two theorems about maximal CohenMacaulay modules (with G. Leuschke),
Math. Annalen 324 (2002), 391404.

The Tor game (with R. Wiegand), Commutative Ring Theory and Applications
by Marco Fontana, SalahEddine Kabbaj, and Sylvia Wiegand
Lecture Notes in Pure and Applied Mathematics, 231, (2002),
289300.
2003

What is the Rees algebra of a module? (with D. Eisenbud and B. Ulrich), Proc. Amer. Math. Soc. 131 (2003), 701708.

Special tight closure (with A. Vraciu),
Nagoya Math. J. 170 (2003), 175183.

Local rings of countable CohenMacaulay type (with G. Leuschke),
Proc. Amer. Math. Soc. 131 (2003), 30033007.

Symmetry in the vanishing of Ext over Gorenstein rings (with D. Jorgensen),
Math. Scand. 93 (2003), 161184.
2004

Vanishing of Ext and Tor over some CohenMacaulay local rings (with L. Sega and A. Vraciu),
Illinois J. Math. 48 (2004), 295317.

Heights of ideals of minors (with D. Eisenbud and B. Ulrich) Amer. J. Math.
126 (2004), 417438.

On a conjecture of Auslander and Reiten (with Graham Leuschke) J. Algebra
275 (2004), 781790.

HilbertKunz functions for normal rings (with M. McDermott and P. Monsky) Math. Res. Letters
11 (2004), 539546.

Order ideals and a generalized Krull height theorem (with D. Eisenbud and B. Ulrich) Math. Annalen
330 (2004), 417439.
2005

On the core of ideals (with N. V. Trung)
Compositio Math. 141 (2005), 118.

Fitting ideals and finite projective dimension (with D. Jorgensen and D. Katz)
Math. Proc. Camb. Phil. Soc. 138 (2005), 4154.

Some criteria for the Gorenstein property (with D. Hanes)
J.Pure Applied Alg. 201 (2005), 416.

Approximations of infinite resolutions (with David Eisenbud)
J. Pure Applied Alg., 201 (2005), 284294.
2006

Integral closure of ideals and annihilators of homology ((with A. Corso,
D. Katz, and W. Vasconcelos)
Lect. Notes Pure Appl. Math., Chapman and Hall/CRC,
244 (2006), 3348.

Regularity of Tor and graded Betti numbers (with D. Eisenbud and B. Ulrich)
Amer. J. Math. 128 (2006), 573605.

Frobenius test exponents for parameter ideals in generalized CohenMacaulay
rings (with M. Katzman, R. Sharp, and Y. Yao)
J. Alg. 305 (2006), 516539.

Rings that are almost Gorenstein (with A. Vraciu)
Pacific J. Math. 225 (2006), 85102.
2007

Absolute integral closure in positive characteristic (with G. Lyubeznik), Advances Math. 210 (2007), 498504.

Ideals defining Gorenstein rings are (almost) never products,
Proc. Amer. Math. Soc.
135 (2007), 20032005.

Liaison of monomial ideals (with B. Ulrich),
Bulletin London Math. Soc. 39 (2007), 384392.

Correction to 'Tensor products of modules and the rigidity of Tor' (with R. Wiegand), Math. Annalen
338 (2007), 291293.

Lectures on local cohomology (with an appendix by Amelia Taylor), Cont. Math.
436 (2007), 51100.

Fine behavior of symbolic powers of ideals (with M. Hochster),
Illinois J. Math.
51 (2007), 171183.

Minimal homogeneous liaison and licci ideals (with J. Migliore, U. Nagel, and B. Ulrich),
Cont. Math.
448 (2007) 129139.
2008

Fthresholds with applications to integral dependence and multiplicity
(with M. Mustata, S. Takagi, and K. I. Watanabe), Michigan Math. J. 57 (2008), 463483.

Mathematical biography of Melvin Hochster, Michigan Math. J.
57 (2008) (v)(ix).
2009

On the support of local cohomology (with D. Katz and T. Marley),
J. Algebra,
322 (2009), 31943211.

Quasilength, latent regular sequences and the content of local cohomology (with M. Hochster),
J. Algebra,
322 (2009), 31703193.

Uniform equivalence of symbolic and adic topologies (with D. Katz and J. Validashti),
Illinois Journal of Mathematics,
53 (2009), 325338.