I am a fourth-year PhD student in the department of Mathematics in Yale University.
Education
- PhD in Mathematics, Yale University, 2023-now
- Advisor: Yair Minsky
- BSc in Mathematics and Data Science, the University of Sydney, 2019-2022
- Honours in Mathematics (first class Honours with Univ. Medal) under the supervision of Stephan Tillmann
Research Interest
- I study geometric group theory and low-dimensional topology. In particular, I work on profinite and residual properties of the fundamental groups of 3-manifolds and I use tools from combinatorics. I also study character varieties of finitely generated groups (in particular, 3-manifold groups).
Publication
Mathematics
- “Taut polynomials from finite quotients for fibered hyperbolic 3-manifolds”, with Tam Cheetham-West, Biao Ma and Jun Ueki, submitted
- “Finite covers and strict boundary slopes of cusped hyperbolic 3-manifolds”, with Tam Cheetham-West, submitted
- “On the topology of character varieties of once-punctured torus bundles”, with Stephan Tillmann, Algebraic & Geometric Topology 25 (2025) 5389–5437
AI
- “Busemannformer: Horospherical Self-Attention for Hyperbolic Graph Transformers”, Youheng Yao, Ziyao Zeng, Wenbo Liao, Tianqi Wang. NeurIPS 2026
- “RuleSmith: Multi-Agent LLMs for Automated Game Balancing”, Ziyao Zeng, Hao Wang, Chen Liu, Youheng Yao, Jingcheng Ni, Tianyu Liu, Xiatao Sun, Fengyu Yang, Chenyu You, Xiaofeng Liu, Daniel Rakita, Ronald R. Coifman, Yuval Kluger, Zhiwen Fan. NeurIPS 2026.
Conference
- “Future of Mathematics Symposium”, Stanford, May 2026
- “Topological and Geometric Structures in Low Dimensions” at SLMath from Jan 2026 to May 2026
- “Computational problems about 3-manifolds, associated groups and varieties”, Newark, Oct 2025
- “Knots, groups, and manifolds”, Montreal, Aug 2025
- “Low-dimensional Phenomena: Geometry and Dynamics”, IHP, Jun 2025
- “Geometric Group Theory and Related Topics”, Beijing, Jun 2025
- “Georgia International Topology Conference”, Athens, May 2025
- “Links in Dimension 3 and 4”, ICERM, May 2025
- “GATSBY”, Brown, Apr 2025
- “Foliations and Diffeomorphism Groups”, CIRM, Dec 2024
- “Flows and Foliations in 3-manifolds”, the St. Louis Topology Conference, May 2024
Talk
- “Finite quotients and A-polynomials”, Newark, Oct 2025
- “Finite quotients and A-polynomials”, ICERM, May 2025
- “Finite covers and A-polynomials”, Brown, Apr 2025
- “Character varieties of once-punctured torus bundles”, Sydney, Sep 2022
