"Active learning seminar" on supersymmetric quantum mechanics, Spring 2020. UIUC Mathematical Physics Seminar, Fall 2017-present (joint with Sheldon Katz). The Wess-Zumino-Witten model and conformal field theory, Summer 2017, with Emily Cliff. Moduli spaces of G-bundles and twisted K-theory, Fall 2016, with Emily Cliff. Stanford topology seminar, Fall 2013-Spring 2014, with Soren Galatius. Elliptic cohomology and the Witten genus, Fall 2013, with Arnav Tripathy. We're going to start things off by looking at Witten's original construction of the Witten genus and the physics proof of the Atiyah-Singer index theorem. Then we'll see what pieces of the story audience members want to learn more carefully. QFTahoe, Spring 2013. This was a week long graduate student and postdoc workshop on various mathematical applications of quantum field theory. Student Topology Seminar, Fall 2012, joint with Constantin Teleman and Rob Kirby. The focus will be 4-manifolds at the beginning, gauge theories in the middle, and (with luck) a mixing of these two topics at the end. I was a student organizer for the graduate student workshop, Supersymmetric Field Theories and Their Mathematical Implications, at the Simons Center for Geometry and Physics in Stony Brook in the spring of 2012. Some additional materials (notes, etc.) can be found here. Witten in the 80s Seminar, Fall 2011, joint with Theo Johnson-Freyd on a selection of Witten's papers on supersymmetric field theories. Conformal Field Theory Seminar, Spring 2011, joint with Peter Teichner and Dmitri Pavlov on Graeme Segal's notes, vertex algebras, and a smattering of other things "conformal." Witten Genus Seminar, Fall 2010, on Kevin Costello's construction of the Witten genus, at the Max Planck Institute for Mathematics in Bonn, Germany. Physics for Topologists Seminar, Spring 2010, joint with Peter Teichner. The focus turned out to be classical field theory, with lots of examples. Dmitri Pavlov took some notes from the talks. Some notes I helped write from the Talbot 2010 workshop talks on twisted K-theory and loop groups. |