Research interests
Research interests
Complex dynamics
Dynamics and geometry on surfaces, Teichmüller spaces, and moduli spaces
Applications of the Selberg trace formula to hyperbolic manifolds
Linearizations of Lie group actions near fixed points
Complex dynamics
Dynamics and geometry on surfaces, Teichmüller spaces, and moduli spaces
Applications of the Selberg trace formula to hyperbolic manifolds
Linearizations of Lie group actions near fixed points
Real rational surface automorphisms: positivity and linearity (with Kyounghee Kim), arXiv:2508.14728.
Analytic Theory on the Space of Blaschke Products: Simultaneous Uniformization and Pressure Metric (with Yan Mary He and Homin Lee), arXiv:2507.17077.
Pressure metics in geometry and dynamics (with Yan Mary He and Homin Lee), arXiv:2407.18441.
Julia sets with Ahlfors-regular conformal dimension one, arXiv:2209.13384. (Talk at MSRI and Slide)
Quasi-self-similar fractals containing "Y" have dimension larger than one (with Angela Wu), Discrete and Continuous Dynamical Systems, (2024), [Journal], [arXiv].
Polynomials with core entropy zero (with Yusheng Luo), arXiv:2205.13704.
Levy and Thurston obstructions of finite subdivision rules, Ergodic Theory and Dynamical Systems, (2024). [Journal], [arXiv].
Haupt’s theorem for strata of abelian differentials (with Matt Bainbridge, Chris Johnson, and Chris Judge), Israel Journal of Mathematics, (2022). [Journal], [arXiv].
Puncture forgetting maps on measured foliations and applications in complex dynamics (with Jeremy Kahn)
Effective equidistribution of closed curves in hyperbolic manifolds (with Junehyuk Jung and Peter Zenz)
Linearization of SL(n,R)-actions near fixed points (with Miri Son)
Carpet matings of quadratic polynomials (with Caroline Davis)