Quiver varieties, stable envelopes and shuffle algebras:
"Quantum difference equation for the affine type A quiver varieties I: General construction", 2308.00550, submitted
"From quantum difference equation to Dubrovin connection of affine type A quiver varieties", 2405.02473, submitted
"Quantum difference equations and Maulik-Okounkov quantum affine algebras of affine type A", 2408.00615
"Instanton moduli space, stable envelopes and quantum difference equations", 2408.15560, submitted
" Rationality of the K-theoretical capped vertex function for Nakajima quiver varieties", 2411.17665, submitted
" Maulik-Okounkov quantum loop groups and Drinfeld double of preprojective K-theoretic Hall algebras", 2511.02151, submitted
"Dynamical Weyl groups and shuffle algebras", in preparation.
"Boson/Fermion correspondence for the trigonometric instanton R-matrix and refined tau function", joint with Hunter Dinkins, in preparation.
"Shape of slope subalgebras and eccentric correspondences", in preparation.
Integrable systems and Poisson geometry:
"Quantized moduli space of flat connections and quantum integrable systems", joint with Nicolai Reshetikhin, in preparation.
"Integrable systems in 4d N=2 Coulomb Branch", in preparation.
"Notes on the nilpotent orbit theorem". This is the notes on studying the variation Hodge structure in the course "Mirror symmetry" given by Jie Zhou in Tsinghua University. (Use the notes at your own risk)
"From elliptic genera to elliptic quantum groups". This is the preliminary version of the notes of the lecture given by Andrei Okounkov in the workshop "Integrable Systems and Algebraic Geometry (Dedicated to the memory of Igor Krichever) " from June 24 to July 5, 2024, in BIMSA, Beijing. Feedbacks and corrections are welcome.
"Kapustin-Witten model". This is the term paper I wrote in the course "Supersymmetry" given by Mauricio Romo in Tsinghua University. (Use the notes at your own risk).