**Lectures and Unpublished Articles**

- Introduction to Quadratic Topology,YRM lecture, Oxford 2015
- Categorical representation and character theory, Berkeley Math-Physics meeting, April 2015
- Gauge theory and Mirror symmetry, ICM slides, Seoul, 2014
- Loop Groups, TQFT and Algebraic Geometry (Survey talk, MSRI, 1/31/2014)
- Five lectures on TQFT, Barcelona 2012
- Gauge theory, Langlands duality and Mirror symmetry, Simons Center, Northeastern & Columbia, Feb-April 2012 video
- Luminy version of the above, with some comments on the space of states
- Langlands duality in Mirror symmetry, Perspectives in Geometry lecture series, UT Austin, 2011
- Group actions on categories and Langlands duality (Utrecht 2011) Lecture 1 Lecture 2 Lecture 3
- Invertible TQFTs and higher categories, Colloquium, Utrecht, May 2011
- Lie group actions on categories (KITP Santa Barbara, Langlands Duality mini-program, 2010)
- Gauged TQFTs in 2 dimensions (GQT conference, Nijmegen, 2010)
- Gauged mirror symmetry and Landau-Ginzburg potentials in the Brauer group (MSRI, 2009)
- Lecture at the Fifth European Congress of Mathematics (Amsterdam, 7/2008)
- Kolchin Lecture (Columbia, 2008)

- British Topology Meeting (Sheffield, 9/2007)

- Adem Lectures (Mexico City, 9/2006)

- The
Structure of 2D Semi-Simple Field Theories

(Lecture at:*Mathematical Structures in String Theory*, KITP, Santa Barbara, 2005) - Loop Groups and Moduli of G-bundles on curves

(DRAFT notes based on Lecture in Seattle, July 2005) - On Semi-simple TFTs and Gromov-Witten theory of BG:

Gregynog 10/04, Goettingen 11/04, Miami 12/04

- Higher
twistings of K-theory and moduli spaces

(Lecture at:*Geometry, Topology and Strings*, KITP Santa Barbara, 2003) - Twisted K-theory and the Verlinde algebra:

Lisbon 06/03, Dirac family, Twisted K and Verlinde - De Rham's theorem for stacks (with
C. Simpson).

*Caution:*§4 and §5 are unfinished and may forever remain so.