Slides, notes, and the occasional movie

Since 2015

Recordings exist for the Bad Driburg (2019), Oaxaca and Fields (2015) lecture series, but the files are far too large to host here. Ask me if you want them.

2013 and earlier

• Pieri maps and the bound Young quiver — joint work with Ragnar-Olaf Buchweitz and Michel Van den Bergh. AMS meeting, Louisville, October 2013, and the CMS Winter Meeting, Toronto, December 2013.
• Three lectures at MSRI, January–February 2013 — What should a non-commutative desingularization be? and Non-commutative desingularizations and maximal Cohen-Macaulay modules, parts I and II. These were recorded on video; I was a star. The files are too large to host here, so they are not linked. Ask me if you want them.
• Non-commutative desingularizations of determinantal varieties — the latest version of that venerable talk, CMS meeting, Toronto, December 2011. The first version to mention the “quiverized Young lattice.”
• Wild hypersurfaces — joint work with Andrew Crabbe, AMS meeting, Notre Dame, November 2010. Also notes for an hour-long version, Lawrence and Syracuse, 2010.
• Non-commutative desingularizations of determinantal varieties — notes for three seminar talks at Syracuse, January–February 2010.
• Semidualizing modules and Gorenstein presentations — joint work with Dave Jorgensen and Sean Sather-Wagstaff, CMS Winter Meeting, Ottawa, December 2008. Also Urbana, March 2009 and Boca Raton, Halloween 2009.
• What is a non-commutative desingularization? — colloquium at the University of Nebraska, September 2008. The first half is mostly pretty pictures, then the technicality level jumps rather a lot. Possibly not a great approach. (About 4MB.)
• Non-commutative desingularization of determinantal varieties — forty minutes, with more history and motivation than usual. International conference on commutative algebra, Yokohama, March 2008. The file includes some of the notes I made to myself.
• Non-commutative desingularization of the generic determinant — AMS meeting, Rutgers, October 2007.
• Notes on the McKay correspondence — three seminar talks giving a leisurely introduction, with emphasis on Auslander’s contributions. Still untidy; I have stopped pretending I will tidy them.
• Non-commutative desingularization of the generic determinant — AMS sectional meeting, San Francisco, April 2006. My first attempt at the LaTeX beamer class, which is a mega-super-awesome thing. I then wimped out and printed the slides to transparencies.
• Coxeter–Dynkin diagrams: A, D, and E — 32nd Annual New York State Regional Graduate Mathematics Conference. Purely expository and purely elementary, aimed at first-year graduate students: a glimpse of the mysteries surrounding the Dynkin diagrams in two of the contexts where they arise naturally. Parts borrowed, with gratitude, from Idun Reiten.
• The Banach–Tarski paradox — Student Analysis Seminar, Syracuse, 31 January 2006. Great fun to do. Essentially a report on Stan Wagon’s book, emphasizing the algebra behind the proof and its analytic consequences.
• Four lectures on local cohomology — Snowbird summer school, June 2005. I gave lectures 3, 5, 7, and 12 of 24; the other lecturers were Srikanth Iyengar, Anton Leykin, Claudia Miller, Ezra Miller, Anurag Singh, and Uli Walther. At some point, I wrote here, there will probably be a book. There was.
• Factoring the adjoint and MCM modules — extended abstract for an hour talk at the Oberwolfach workshop “Kommutative Algebra,” April 2005. People seemed really to like this talk, which made me very happy.
• Factoring the adjoint and modules over the generic determinant — twenty minutes, Joint Meetings, Atlanta, January 2005. The main reason I typed these slides instead of hand-writing them is that I wanted to see whether I could pull off the horizontal curly-braces on page 2.
• Factoring the generic adjoint and MCM modules over the generic determinant — an hour-long version, BIRS, Banff, September 2004. I was experimenting with a new slide format, so these are more PowerPointish than I am comfortable with.
• Bounded and finite Cohen-Macaulay type, an introduction — a colloquium talk from the 2004 job season. These were blackboard talks, so the audience never saw the notes, and I could get away with instructions like “Mumble here about vector spaces.”
• Bounding the ranks of torsionfree modules on curves — Tony Geramita’s famous Curves Seminar at Queen’s, November 2003, hence the fakey algebraic-geometry language.
• Finite, bounded, and countable representation type — Hartshorne’s seminar, Berkeley, April 2003.
• Finite type: recurring examples — plenary lecture, Nebraska Regional Workshop in Mathematics, November 2001. I seem to have misplaced the graphs that went with this talk, so you will have to fill in the A-D-E plane curve singularities yourself.