I am a Senior Research Associate at the School of Mathematics, University of Bristol, working with Dr. Laura Monk and Prof. Jens Marklof. I completed my Ph.D. at Tsinghua University under the supervision of Prof. Long Jin. My research interests include Microlocal Analysis, Spectral Geometry, Dynamical Systems, and Random Surfaces and Graphs. My email is dz25829@bristol.ac.uk.
Spectral Distribution of Twisted Laplacian on Typical Hyperbolic Surfaces of High Genus, Commun. Math. Phys. 405, 158 (2024);
2. Spectral convergence of random regular graphs: Chebyshev polynomials, non-backtracking walks, and unitary-color extensions, with Wenbo Li, and Shiping Liu; arxiv: 2406. 05759;
3. Discrete trace formulas and holomorphic functional calculus for the adjacency matrix of regular graphs, with Wenbo Li, and Shiping Liu, arxiv: 2406.17505;
4. The spectral concentration for damped waves on compact Anosov manifolds, arXiv: 2411.02929;
5. Sublinear growth of eigenvalues for twisted laplacian on compact hyperbolic surfaces, with Long Jin, arXiv: 2504.12666.