# Richard Derryberry

Perimeter Institute for Theoretical Physics

Areas of research:

### Research Interests

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.

### Positions Held

### Recent Publications

- 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

### Seminars

- 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