Martin T. Luu

Department of Mathematics University of California, Davis email: matluu at ucdavis dot edu

I work on Langlands dualities, quantum dualities, and their interrelation. Below are my publications (some are on arXiv, but not all...).

Weyl orbit particles J. Phys. A: Math. Theor. 58 375201 (2025). Link.
The KdV vacuum operator and its Katz extension J. Geom. Phys. 214 (2025), 105517. Link.
The Toda-Weyl mass spectrum Nuclear Physics B 1012 (2025), 116823. Link.
Kirillov polynomials for the exceptional Lie algebra g_2 Arnold Math J. 10 (2024), 449-461. Link.
Rigidity of Kac-Schwarz operators Letters in Math. Phys. 110 (2020), 911-924. Link.
Feigin-Frenkel Image of Witten-Kontsevich Points Int. Math. Res. Not. IMRN (2020). Link.
Spectral Curve Duality beyond the Two-Matrix Model J. Math. Phys. 60 (2019). Link.
Langlands Parameters of Quivers in the Sato Grassmannian ,

(with Matej Penciak) Commun. Math. Phys. 357 (2018), 775-789. Link.
Crystalline Cohomology of Superschemes J. Geom. Phys. 121 (2017), 83-92. 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.
Deformation Theory and Local-Global Compatibility of Langlands Correspondences Memoirs of the AMS 1123 (2015). Link.

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