Papers
Automorphic Gluing (joint with Dario Beraldo)
This paper proves a gluing theorem on the automorphic side of geometric Langlands conjecture and is supposed to be an important step in the proof of this conjecture.
pdf (last updated Apr. 19, 2022)
arXiv
An Extension of the Kazhdan-Lusztig Equivalence (joint with Yuchen Fu)
This draft proves a tamely ramified version of the Kazhdan--Lusztig equivalence on representations of affine Lie algebras and quantum groups using factorization algebras.
We will revise and separate it into a series of papers in the near future.
arXiv
PhD Thesis: Nearby Cycles and Dualities in Geometric Langlands Program
This thesis covers the work of my first two papers and several new results on the same theme in a more reader-friendly way.
pdf (last updated Sep. 12, 2021)
Deligne-Lusztig duality on the moduli stack of bundles
This paper relates the miraculous duality on the moduli stack of bundles to parabolic induction and restriction functors.
pdf (last updated Jan. 23, 2022)
arXiv
Nearby cycles on Drinfeld-Gaitsgory-Vinberg Interpolation Grassmannian and long intertwining functor
This paper geometrizes Bernstein's second adjointness via a nearby cycles construction.
pdf (last updated Jan. 30, 2022)
arXiv
published version (with fewer appendices, last updated Jan. 30, 2022)