My research centers around Langlands dualities, dualities of quantum field theories, and their interrelation.

**Publications and Preprints:**

- Kirillov polynomials for the exceptional Lie algebra g_2,
Arnold Math. Journal. Link.

- Normal forms of Heisenberg connections,
Preprint.

- Iterated integrals on affine curves , (with Albert Schwarz)
Preprint.

- Rigidity of Kac-Schwarz operators
*Letters in Math. Phys.***110**(2020), 911-924. Link. - Spectral Curve Duality beyond the Two-Matrix Model
*J. Math. Phys.***60**(2019). Link. - Feigin-Frenkel Image of Witten-Kontsevich Points
*Int. Math. Res. Not. IMRN*(2020). Link. - Drinfeld-Sokolov Flows and the Local Geometric Langlands Correspondence Preprint.
- Langlands Parameters of Quivers in the Sato Grassmannian , (with Matej Penciak)
*Commun. Math. Phys.***357**(2018), 775-789. Link. - KP Flows and Quantization
*J. Math. Phys.***57**(2016). 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.*. Link.**121**(2017), 83-92 - Deformation Theory and Local-Global Compatibility of Langlands Correspondences
*Memoirs of the AMS***1123**(2015). Link.