I broadly enjoy problems in dynamical systems and mathematical physics. My research is currently focused on the following topics: 

• Symplectic reducibility and almost reducibility

• Anderson localization

• Spectral theory of quasiperiodic Schrödinger operators

• Fractal properties of spectrum and spectral measure 

Papers:

Preprint

• [3] [arXiv] Transfer operators, canonical center dynamics, and spectral applications for long-range operators (2026)
  (joint with Zhenfu Wang, Jiangong You, Qi Zhou)

• [2] [arXiv] Monotonicity, global symplectification and the stability of Dry Ten Martini Problem (2026)

(joint with Disheng Xu, Qi Zhou)

• [1] [arXiv] Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator (2025)

(joint with Jie Cao, Baowei Wang, Qi Zhou)

Published

• [4] [arXiv] Exact local distribution of the absolutely continuous spectral measure, Proc. Lond. Math. Soc., 132(4): e70150, (2026)

(joint with Jiangong You, Qi Zhou)

• [3] [arXiv] The fibered rotation number for ergodic symplectic cocycles and its applications: I. Gap Labelling Theorem, Math. Z., 311: 53, (2025)

(joint with Li Wu)

• [2] [arXiv] Stability of spectral types of quasi-periodic Schrödinger operators with respect to perturbations by decaying potentials, Comm. Math. Phys., 403: 1069-1108, (2023) 

(joint with David Damanik, Jiangong You, Qi Zhou)

• [1] [arXiv] Quantitative reducibility of Gevrey quasi-periodic cocycles and its applications, Nonlinearity, 35(12): 6124-6155, (2022) 

Invited conferences & seminars:

• [10] The 39th Western States Mathematical Physics Meeting, Irvine, May 2026.

• [9] Berkeley Spectral Theory Seminar, Berkeley, Apr 2026.

• [8] Doctoral Student Forum at 2025 ICCM, Shanghai, January 2026.

• [7] Dynamical Systems Seminar at Fudan University, Shanghai, January 2026.

• [6] Berkeley Postdoc Seminar, Berkeley, December 2025.

• [5] Berkeley Spectral Theory Seminar, Berkeley, September 2025.

• [4] Dynamical Systems Seminar at SIMIS, Shanghai, April 2025.

• [3] The 14th AIMS International Conference, Dynamical Systems, Differential Equations, and Applications, Abu Dhabi, December 2024.

• [2] Rice Spectral Theory Seminar, Online, November 2024.

• [1] IMJ-PRG Summer School, Stability and Rigidity in Dynamical Systems, Paris, June 2024.