Slides and Lecture Notes

Slides from selected research lectures

• Ascent Properties for Derived Functors, AMS Special Session on Commutative Ring Theory, Iowa State University, Apr 2013
• Weakly Spherical Modules, AMS Special Session on Topics in Commutative Algebra, University of Arizona, Oct 2012
• A local ring has only finitely many semidualizing modules up to isomorphism, AMS Special Session on Singularities in Commutative Algebra and Algebraic Geometry, University of Kansas, Mar 2012
• A theorem in representation theory for DG algebras, with an application to a question of Vasconcelos, AMS Special Session on Algebraic Geometry and Graded Commutative Algebra, University of Nebraska-Lincoln, Oct 2011
• Ext^1: What is it good for?, NDSU Mathematics Colloquium, Sep 2011
• Generalized Zero-Divisor Graphs, Mini-conference on Commutative Ring Theory, University of Iowa, Mar 2011
• Bass Numbers and Semidualizing Modules, AMS Special Session on Commutative Algebra, University of Iowa, Mar 2011
• Finite generation of Ext and ascent of module structures, AMS Special Session on Commutative Algebra and Its Interactions with Algebraic Geometry, University of Notre Dame, Nov 2010
• The Mathematics of Internet Security: Keeping Eve The Eavesdropper Away From Your Credit Card Information, NDSU College of Science and Mathematics Science Cafe, Sep 2010.
• Semidualizing modules for rings of codimension 2, AMS Special Session on Commutative Algebra: Module and Ideal Theory, Baylor University, Oct 2009
• Semidualizing modules and bass numbers, AMS Special Session on Local and Homological Methods in Commutative Algebra, University of Illinois at Urbana-Champaign, Mar. 2009
• Semidualizing modules and bass numbers, 4th World Conference on 21st Century Mathematics Abdus Salam School of Mathematical Sciences Lahore, Pakistan, Mar. 2009
• Doing algebra in Tehran, World iView Speakers Series, North Dakota State University, Jan. 2009
• Gorenstein presentations and semidualizing modules, AMS Special Session on Hilbert Functions and Free Resolutions, University of British Columbia, Oct. 2008
• Homotopy-theory techniques in commutative algebra, Mathematics Department Colloquium, Texas Tech University, Apr. 2007
• Complete Intersection Dimensions and Foxby Classes, AMS Special Session on Free Resolutions, DePaul University, Oct. 2007
• Ext-vanishing and Ascent of Module Structures, workshop on Commutative Algebra and its Interaction with Algebraic Geometry, Banff International Research Station, June 2007
• Homological Algebra of Local Ring Homomorphisms, Mathematical Sciences Department Colloquium, Kent State University, Feb. 2007
• Homotopy-theory techniques in commutative algebra, Mathematics Department Colloquium, University of Copenhagen, Jan. 2007
• Detecting completeness from Ext-vanishing, AMS Special Session on Commutative Algebra, University of Utah, Sep. 2006
• Descent of semidualizing complexes, Homological Conjectures in Commutative Algebra; A Conference in Honor of Paul C. Roberts Sixtieth Birthday, Snowbird, UT, May 2006
• Incomparability of semidualizing modules, AMS Special Session on Homological Aspects of Commutative Algebra, Bard College, Oct. 2005
• Descent of semidualizing modules, Nebraska Commutative Algebra Conference: WiegandFest, University of Nebraska-Lincoln, May 2005
• Semidualizing modules, AMS Special Session on Local and Homological Algebra, Vanderbilt University, Oct. 2004
• A new characterization of Gorenstein rings, AMS Special Session on the Homological Algebra of Commutative Rings, Houston, TX, May 2004
• The set of semidualizing complexes is a metric space, AMS Special Session on Syzygies and Hilbert Functions, Florida State University, Mar. 2004
• Gorenstein Dimension of the Frobenius Endomorphism, AMS-IMS-SIAM Summer Research conference, Commutative Algebra: Presentations by Young Researchers, Snowbird, UT, July 2003
• Complete Intersection Dimension for Complexes, AMS Special Session on Commutative Algebra and Algebraic Geometry, San Diego, CA, Jan. 2002
• Symbolic Powers of Prime Ideals, AMS Special Session on Commutative Algebra, Williams College, Oct. 2001
• Intersections of Symbolic Powers of Prime Ideals, Algebra Weekend 2001, University of Missouri, Columbia, Apr. 2001
• A Conjecture of Kurano and Roberts Related to the Positivity of the Intersection Multiplicity of Serre, AMS Special Session on Algebraic Geometry and Commutative Algebra, Washington, DC, Jan. 2000
• Multiplicities and Localization, AMS Special Session on Commutative Algebra, University of Utah, Sep. 1999
• Polynomials and Affine Space, an Introduction to Commutative Algebra and Algebraic Geometry, Mathematics Department Colloquium, San Francisco State University, Oct. 1999

Lecture notes

• Notes for my 2008/2010 Course on Monomial Ideals; revision history.
• Notes for my 2009 course on semidualizing modules. revision history.
• Notes for my 2007-2008 Homological Algebra Seminar. (last updated 08 Sep 2009; revision history).
• Notes for my 2007-2008 Graduate Algebra Course. (last updated 29 Apr 2008)
• Notes for lectures on "Koszul cohomology and Cohen structure theorems" given at the University of Utah mini-course on "Classical Problems in Commutative Algebra", June 2004.
• Notes for Dick Gross' Algebraic Number Theory Course given at the University of Utah, Spring 1999: all lectures (1-18) compressed .ps or .pdf.

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Last updated 26 Apr 2013