Research Areas

Hyperbolic geometry, low-dimensional manifolds, quantitative relationship between geometric invariants and topological invariants.

Education

Undergraduate，University of Illinois Urbana-Champaign, 2013-2015

PhD, University of Illinois Urbana-Champaign, 2015-2021

Work Experience

Postdoc, Yau Mathematical Science Center, Tsinghua University 2021.9-Current

Research/Teaching Assistant, University of Illinois Urbana-Champaign 2015-2021

Teaching Experience

Course Instructor (Lecturer)

1. Calculus II Spring 2020

2. A Mathematical World Fall 2019

3. Calculus III (ranked as outstanding by students) Summer 2019

4. Ideas in Geometry Fall 2018

Teaching Assistant

1. Calculus III (ranked as outstanding by students) Spring 2019

2. Calculus III Spring 2018

3. Calculus I (ranked as excellent by students) Fall 2017

4. Calculus II (ranked as outstanding by students) Spring 2017

5. Calculus I Fall 2016

6. Calculus I Spring 2016

Awards

1. Postdoctoral Scholar Teaching Award, Qiuzhen college, Tsinghua University 2023

2. Postdoctoral Scholar Teaching Award, Qiuzhen college, Tsinghua University 2022

3. Trijitzinsky Fellowship, University of Illinois Urbana-Champaign 2020

Publications

1. “Harmonic Forms, Minimal Surfaces and Norms on Cohomology of Hyperbolic 3-Manifolds, preprint 2020, 31 pages, arXiv:2011.14457v3” accepted by Int. Math. Res. Not. IMRN.

2. “On Eigenvalues of Geometrically Finite Hyperbolic Manifolds with Infinite Volume, preprint， 2020, 11 pages, arXiv:2004.01698v2” accepted by Journal of Topology and Analysis.

3. “Large Steklov eigenvalue on hyperbolic surfaces, preprint 2022, https://arxiv.org/abs/2210.06752”joint with Yuxin He, Han Hong.