Richard Derryberry

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Perimeter Institute for Theoretical Physics
The maxim that guides my research is that physical theories detect mathematical structures, and more specifically that physical dualities detect mathematical equivalences. For example: (1) I am interested in using dualities arising from "Theory X" (a.k.a. the 6d (2,0) SCFT) and topological string theory to motivate/understand/prove results in the geometric Langlands program (and variants/generalisations thereof). (2) Motivated by the work of Costello and Yamazaki on constructing integrable 2d field theories from 4d Chern-Simons theory, I recently proved a large new class of harmonic map equations are integrable.
  • 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
  • Lax formulation for harmonic maps to a moduli of bundles, arXiv: 2106.09781
  • Superschool on Derived Categories and D-branes, "Introduction to mirror symmetry", Springer, Cham, Lectures from the PIMS Superschool
  • Zero-curvature formulation for novel two-dimensional field theories, Algebraic Geometry Seminar, Cornell
  • 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