Lectures and Unpublished Articles

• Quantization commutes with reduction AGAIN (Miami HMS 2024) Notes
• Character theory for topological G-actions on categories (Miam HMS 2024) Notes
• Condensed Thoughts Simons Foundation, November 2023 Slides
• Condensation and EM duality notes (Les Diablerets, September 2022)
• 2D Quantization commutes with Reduction, Nordita, August 2023
• Gauge Theory and Mirror Symmetry in 3D
• Gromov-Witten gauge theory Lecture I and Lecture II, Bangalore, February 2023
• Coulomb branches and KO theory, MSRI, December 13, 2022
• Towards a universal target for TQFTS, Simons Foundation, November 16, 2022, Video
• Higher units in K-theory and Coulomb branches, Gregynog, July 2022
• Go and No-Go in Chern-Simons theoryMPPM Seminar Wales, June 2020
• Coulomb branches for quaternionic representations, Perimeter Institute, April 2020
• Chicago workshop, Feb 2019
• Auckland conference, Dec 2018
• The gauged symplectic sigma-model IAS Princeton, 15 November 2016
• 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 Errata
• 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: The last item is unfinished and may forever remain so.