My research centers around Langlands dualities, dualities of quantum field theories, and their interrelation.
Publications and Preprints:
- Langlands Parameters of Quivers in the Sato Grassmannian , (with Matej Penciak) Commun. Math. Phys., to appear.
- KP Flows and Quantization J. Math. Phys. 57 (2016), 123503. Link.
- Local Langlands Duality and a Duality of Conformal Field Theories Commun. Number Theory Phys. 10 (2016), 1-22. Link.
- Fourier Duality of Quantum Curves , (with Albert Schwarz) Math. Res. Lett. 23 (2016), 1111-1137. Link.
- Duality of 2D Gravity as a Local Fourier Duality Commun. Math. Phys. 338 (2015), 251-265. Link.
- Crystalline Cohomology of Superschemes J. Geom. Phys. 121 (2017), 83-92. Link.
- Deformation Theory and Local-Global Compatibility of Langlands Correspondences