3 papers
math.GT2026
Pseudo-Anosov flows, hyperbolic geometry, and the curve graph
Junzhi Huang, Samuel J. Taylor
Starting with a pseudo-Anosov flow on a closed hyperbolic -manifold and an embedded surface that is (almost) transverse to , we relate the hyperbolic ge…
math.GT2025
Systolic lattice extensions of classical Schottky groups
Junzhi Huang, Matthew Zevenbergen
We produce lattice extensions of a dense family of classical Schottky subgroups of the isometry group of -dimensional hyperbolic space. The extensions produced are said to be sy…
math.GT2024
Depth-one foliations, pseudo-Anosov flows and universal circles
Junzhi Huang
Given a taut depth-one foliation in a closed atoroidal 3-manifold transverse to a pseudo-Anosov flow without perfect fits, we show that the universal circle c…