Richard Derryberry

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Perimeter Institute for Theoretical Physics
Areas of research:
I like to play the game where you start with the input of a "physical duality" and wind up with the output of a nontrivial mathematical theorem, usually of the form "these two mathematical widgets that look different are secretly the same". In particular, I am interested in using dualities arising from "Theory X" (a.k.a. the 6d (2,0) SCFT) to motivate/understand/prove results in the geometric Langlands program (and variants/generalisations thereof).
  • 2012-2018, Ph.D. student at the University of Texas at Austin. Advisors: David Ben-Zvi and Andy Neitzke
  • R. Derryberry, Stacky dualities for the moduli of Higgs bundles, Adv. Math. 368 (2020), 107152, arXiv: 1810.00928
  • Superschool on Derived Categories and D-branes, "Introduction to mirror symmetry", Springer, Cham, Lectures from the PIMS Superschool
  • Fourier Transforms and Physical Dualities, Geometry Topology and Dynamics Seminar, University of Illinois Chicago
  • Two lectures on Hitchin's "The Self-Duality Equations on a Riemann Surface", Learning Seminar at Park City Mathematics Institute, Utah
  • Langlands duality and self-duality for Hitchin systems, Geometry Seminar, University of Waterloo
  • Langlands duality and self-duality for the moduli of Higgs bundles, Geometric Structures Lab, Fields Institute/University of Toronto