Junzhi Huang

activity

20242026

collaborators

5 papers

math.GT2026

Constructing depth one laminations transverse to pseudo-Anosov flows

Junzhi Huang, Samuel J. Taylor

Given a pseudo-Anosov flow $I ¨ $ on a closed atoroidal $3$ --manifold $M$ and a closed surface $S$ almost transverse to $I ¨ $ , we give a homological characterization of when $S$ can b…

math.GT2026

Pseudo-Anosov flows, hyperbolic geometry, and the curve graph

Junzhi Huang, Samuel J. Taylor

Starting with a pseudo-Anosov flow $I ¨ $ on a closed hyperbolic $3$ -manifold $M$ and an embedded surface $S \subset M$ that is (almost) transverse to $I ¨ $ , we relate the hyperbolic…

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 $d$ -dimensional hyperbolic space. The extensions produced are said to be sy…

math.GT2024

Density of systoles of hyperbolic manifolds

Sami Douba, Junzhi Huang

We show that for each $n \geq 2$ , the systoles of closed hyperbolic $n$ -manifolds form a dense subset of $(0, + \infty)$ . We also show that for any $n \geq 2$ and any Salem number $Î…

math.GT2024

Depth-one foliations, pseudo-Anosov flows and universal circles

Junzhi Huang

Given a taut depth-one foliation $F$ in a closed atoroidal 3-manifold $M$ transverse to a pseudo-Anosov flow $I ¨ $ without perfect fits, we show that the universal circle…