I am a graduate student at MIT advised by Professor Zhiwei Yun since 2023.

My research interest is in geometric representation theory, especially the Langlands program. Recently, I have been working on the intersection theory of special cycles on Shtukas.

Papers in preparation

• Relative Langlands duality and derivatives of L-functions. In this work, I explain a general conjectural framework relating derivatives of L-functions to intersection numbers of cycles on Shtukas, providing a unified perspective on this phenomenon.

• Diagonal cycle on Shtukas and derivatives of adjoint L-function. In this work, I consider a general split semisimple group G. I relate the intersection number of the diagonal cycle on the moduli of G-Shtukas to derivatives of the adjoint L-function.

Papers

• Arithmetic volume of Shtukas and Langlands duality, with Wenqing Wei, preprint on arXiv https://arxiv.org/abs/2604.03763. Updated on Apr 7, 2026.

• Special cycle on Shtukas and categorical trace, preprint on arXiv https://arxiv.org/abs/2509.05526. Submitted. Updated on Sep 5, 2025.

• Higher period integrals and derivatives of L-functions, with Shurui Liu, preprint on arXiv https://arxiv.org/abs/2504.00275. Submitted. Updated on Apr 2, 2026.

• Appendix to “On the relative Langlands duality for Sp_2n\GL2n+1” by Guodong Xi and Weixiao Lu, preprint on arXiv https://www.arxiv.org/abs/2504.18774.