Research

Publication

1. Harmonic Forms, Minimal Surfaces and Norms on Cohomology of Hyperbolic $3$-Manifolds,  accepted by Int. Math. Res. Not. IMRN. arXiv:2011.14457v3

2. On Eigenvalues of Geometrically Finite Hyperbolic Manifolds with Infinite Volume,  accepted by Journal of Topology and Analysis.  arXiv:2004.01698v2

3. (with Yuxin He, Han Hong) Large Steklov eigenvalue on hyperbolic surfaces. arXiv:2210.06752

4. Thurston norms, $L^2$-norms, geodesic laminations, and Lipschitz maps, arXiv:2310.18093 

Talks

2023: Groups, Geometry, and Topology Seminar, University of Illinois Urbana-Champaign

Differential Geometry Seminar, Chongqing University 

     Geometry and Topology Seminar, Lanzhou University 

2022: Spectral Geometry Seminar, University of Science and Technology of China 

Geometry and Topology Seminar, Tsinghua University

2021: University of Florida  Topology and Dynamics Seminar

Differential Geometry Conference, Nankai University 

  Rice GEOMETRY-ANALYSIS SEMINAR

  Caltech Geometry and Topology Seminar 

  Rutgers Topology/Geometry seminar

2020: MSRI Random and Arithmetic Structures Postdoc seminar

   Third BYMAT Conference, Polytechnic University of Valencia and University of Valencia

   Geometry and Topology Seminar, Washington University at Saint Louis

   PA seminar talk at MSRI

   AMS Spring Central Sectional Meeting at Purdue University

2019: 44th Annual New York State Regional Graduate Mathematics Conference 

   Geometry and Topology Seminar, Washington University at Saint Louis

                  Graduate Geometry/Topology Seminar, UIUC

2018: Graduate Geometry/Topology Seminar, UIUC

2014: Illinois Geometry Lab,  Exploring Entropy & Complexity of Curves on a Surface, UIUC