My research lives at the intersection of mapping class group theory with the geometry of hyperbolic 3-manifolds. In my thesis work, I explore the geometry of fibered 3-manifolds via mapping tori constructions for surfaces of infinite type.
Papers
Handel--Miller laminations and short geodesics (joint with Junzhi Huang), in preparation.
Bounds on end-periodic stretch factors via quasiconformal maps (joint with Connie On Yu Hui, Autumn Kent, Marissa Loving and Mujie Wang), in preparation.
Constructing reducibly geometrically finite subgroups of the mapping class group (joint with Aougab, Bray, Dowdall, Hoganson, and Maloni), Groups, Geom. Dyn. (2026), [journal]. [arXiv].
Covers of surfaces (joint with Biringer, Chandran, Cremaschi, Tao, Vlamis and Wang), to appear in Algebraic and Geometric Topology. [arXiv].Â
Short curves of end-periodic mapping tori, Adv. Math. (2026). [journal]. [arXiv].
Short curves of end-perioidic mapping tori, (Topological and Geometric Structures in Low Dimensions Seminar at SLMath Fall 2026)