** Slides from a talk
Ideals generated by quadratic polynomials given at the
Midwest Commutative Algebra and Geometry Conference at Purdue on
May 24, 2011**

A composite version of the Lecture Notes for Math 711,
Fall 2007 entitled * Foundations of
Tight Closure Theory, * 276 pages.

** An edited version of the slides used for a talk
entitled Intersection Theorems
at a conference in honor of the sixtieth birthday of Paul C. Roberts
held at Snowbird, Utah, May 18-19, 2006.**

** An extended version of a talk
Homological conjectues, old and new at a conference in
honor of Phil Griffith at the University of Illinois, Urbana,
September 16-18, 2005; to appear in the Illinois J. of Math.**

** An edited version of the file used for the transparencies
for a talk entiteld Thirteen Open Questions
in Commutative Algebra at a conference in honor of the
sixty-fifth birthday of Joseph Lipman held at Purdue University, July, 2004.
**

** A written version of three expository lectures given
in September, 2002,
as part of the Introductory Program for the year in
Commutative Algebra at MSRI.
Tight closure theory and
characteristic p methods. The paper, with
an Appendix by Graham J. Leuschke, has
appeared in Trends in Commutative Algebra,
MSRI Pubications 51, Cambridge
University Press, Cambridge, England, 2004, pp. 181-210.
**

** Notes from a two lecture introduction
to Grobner bases
given in the Student Combinatorics Seminar, September, 2003.
**

** The text of a book review of
Multiplicities and Chern classes in local algebra
by Paul C. Roberts (the review appeared in the Bulletin (New Series) of
the Amer. Math. Soc. 38 (2001), pp. 83-92).
**

** An exposition of
Gabber's proof of nonnegativity of intersection
multiplicities using
De Jong's results on alterations (an expansion
of an article by Berthelot,
but with some differences in the argument). **

** Why characteristic p is better
(text used to prepare transparencies for an invited address at
the annual A.M.S. meeting in Baltimore on January 8, 1998).**

**
The notion of tight closure in equal characteristic zero
(in Proc. of the CBMS Conference on Tight Closure and Its
Applications
Fargo, North Dakota, July, 1995), Appendix to the notes on the main
lectures by Craig Huneke, C.B.M.S. Regional Conference Series, A.M.S.,
Providence, R.I., 1996.
**

** The text of a book review of
Cohen-Macaulay rings
by Winfried Bruns and Jurgen Herzog, containing an exposition,
intended for readers with very modest background, of some material
in this area (the review appeared in the Bulletin (New Series) of
the Amer. Math. Soc. 32 (1995), pp. 265-275).
**

**
Tight closure in equal characteristic,
big Cohen-Macaulay algebras, and solid closure
(in Commutative Algebra:
Syzygies, Multiplicities and Birational Algebra,
Contemp. Math. 159, Amer. Math. Soc.,
Providence, R. I., 1994, 173-196). **