Martin T. Luu

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. 121 (2017), 83-92. Link.


• Deformation Theory and Local-Global Compatibility of Langlands Correspondences
  
  Memoirs of the AMS 1123 (2015). Link.