My research interest lies in low-dimensional topology. Currently, I am particularly interested in how the intrinsic geometry of surfaces interacts with the geometry of their ambient spaces and with their discrete realizations.
Surface subgroups with prescribed finite quotient
joint with Jean-François Lafont and Hongbin Sun, in preparation
Spaces of geodesic triangulations are cells
joint with Yanwen Luo, Tianqi Wu, and Xiaoping Zhu, https://arxiv.org/abs/2204.10833, submitted
Discrete uniformization of polyhedral surfaces
joint with Feng Luo, Yanwen Luo, and Xinrong Zhao, https://arxiv.org/abs/2608.22491. submitted
A Rigidity Theorem for Convex Sets in Hyperbolic 3-Space
joint with Feng Luo and Yanwen Luo, https://arxiv.org/abs/2602.23558, submitted
Counting quasi-Fuchsian and coannular surfaces in cusped hyperbolic 3-manifolds
with Xiaolong Han and Jia Wan, https://arxiv.org/abs/2602.20098, submitted
Surface Subgroups for Cocompact Lattices of Isometries of H^{2n}
with Jeremy Kahn, J. Topol. 19 (2026), no. 3, Paper No. e70089
Subgroups of genus-2 quasi-Fuchsian groups and cocompact Kleinian groups
Geom. Topol. 29 (2025), no. 1, 495–548
arXiv:2302.01995v2arXiv:2302.01995v
Workshop on Discrete conformal geometry: theory and application, Tsinghua Sanya International Mathematics Forum, January 2027
59th Spring Topology and Dynamics Conference, The University of Alabama at Birmingham, March 2026
Computational problems about 3-manifolds, associated groups and varieties, Lightning Talks, Rutgers University–Newark, October 2025
Hyperbolic manifolds in dimensions 4 (and more), Montreal, Canada, September 2025
Geometry and Topology Seminar at Brown and Yale, Lightning Talks, Yale University, April 2024
Texas Geometry and Topology Conference, Lightning Talks, Rice University, November 2023
Surfaces in 3-Manifolds Log Cabin Workshop, Young, AZ, January 2023
AMS New England Graduate Student Conference, Brown University, April 2022
An Introduction to Good Panted Surface Construction, Peking University, June 2025
Geometric Group Theory and Topology Seminar, Tufts University, November 2026
Geometry and Topology Seminar, Binghamton University, November 2026
Topology and Geometric Group Theory Seminars, The Ohio State University, February 2026
Geometry/Topology Seminar, UC Davis, January 2026
YMSC Topology Seminar, Tsinghua University, December 2026
CUNY Geometry and Topology Seminar, CUNY Graduate Center, November 2025
Hyperbolic Geometry Seminar, CUNY Graduate Center, November 2025
Geometry and Topology Seminar, Temple University, October 2025
Geometry \& Topology Seminar, Yale University, October 2025
Dynamics Seminar, Cornell University, March 2025
Rutgers Geometry/Topology seminar, Rutgers University–New Brunswick, April 2025
Geometry & Topology Seminar, Brown University, February 2025
Geometry and Topology Seminar, SIMIS, January 2025
BICMR Algebraic Geometry Seminar, Peking University, December 2024
Rutgers Geometry \& Topology seminar, Rutgers University–New Brunswick, September 202
Geometry and Topology Seminar at SIMIS, September 2024(virtual)
Geometric Analysis Seminar, University of Chicago, February 2024
Geometry Seminar, MPI for Mathematics in the Sciences, December 2023
Geometry & Topology Seminar, Yale University, November 2023
Purdue Geometry and Geometric Analysis Seminar, Purdue University, October 2023
Rutgers Geometry/Topology seminar, Rutgers University–New Brunswick, September 2023
Geometry and Topology Seminar, Peking University, June 2023
Joint Seminar on Teichmuller theory and Related topics, March 2023(virtual)
Geometry/Topology Seminar, Brown University, February 2023
Geometric Topology Grad and Postdoc Seminar, February 2023(virtual)