Ricky Lee
Hello! I am a math PhD student at the University of California, Santa Barbara. My advisor is Darren Long.
I am broadly interested in geometry and topology. Currently, my research focus is on representation varieties coming from deformations of geometric structures. My work often combines insights from arithmetic, dynamics, geometric group theory, and computer assisted computation.
Email: rickylee(at).ucsb.edu
Office: South Hall 6432N
Papers
An Algorithmic Definition of Gabai Width. Algebraic and Geometric Topology, 23(6):2415–2448, 2023.
Self-replicating 3-manifolds (with Ryan Blair). Topology and its Applications, 318(5):108197, 2022
Widths of links via diagram colorings (with Puttipong Pongtanapaisan and Hanh Vo). arXiv:2401.17193 (Submitted), 2024
Strongly Dense Representations of Hyperbolic 3-Manifold Groups. arXiv:2401.08007 (Submitted), 2024
Conferences
Computational Aspects of Thin Groups, IMS NUS (2024)
Young Geometric Group Theory XII, University of Bristol (2024)
Texas Geometry and Topology Conference at Rice University (2023)
Workshop on Profinite Rigidit at ICMAT (2023)
Dynamics, Rigidity and Arithmetic in Hypberolic Geometry at ICERM (2023)
Riverside Workshop on Geometric Group Theory at UC Riverside (2023)