Wenhan Dai

Last update on: September, 2025.

Hi!

Papers and Notes

Categorical local Langlands at the Steinberg parameter: A case study (joint with David Hansen).
In preparation (talk | examples handout).
Categorical functoriality and lifting problems of L-parameters (joint with Zhiyu Zhang).
In progress.
A geometric Jacquet-Langlands correspondence for unitary Shimura varieties mod ramified p.
Undergraduate thesis (supervised by Liang Xiao), Peking University, 2023.

(Photograph by Lingjie Pan) Santa Monica, Los Angeles, CA, 2024

Stalks of automorphic Vogan sheaves for the Steinberg parameter of GL_n.
Notes for talk on LArGe NEW Seminar. National University of Singapore, 2025.
Hyperspherical Hamiltonian varieties (with Xiangqian Yang).
Notes for two seminar talks on relative Langlands duality. Peking University, 2023.
On Lusztig’s middle extension of perverse sheaves.
A survey adapted from an undergraduate seminar talk about Springer theory. Peking University, 2022.

The Hodge-Tate period map on perfectoid Shimura varieties.
Notes for lectures by Yihang Zhu, Tsinghua University, 2024. Revised by the lecturer.
On the mod p Jacquet-Langlands correspondence for GL_2.
Notes for lectures by Yongquan Hu, Peking University, 2023.
Integral models of Shimura varieties of Hodge type.
Notes for lectures by Xu Shen, Peking University, 2023 (c.f. Mark Kisin’s lectures at Clay Mathematical Institute for abelian type).
Modularity lifting.
Notes for lectures by Patrick Allen, McGill University, 2022.
Complex analysis.
Studying notes extended from a course by Jian Xiao, 2022.

See this page for an extended list.