The article “Notes on Notes of Thurston” was intended as an exposition of some portions of
Thurston's lecture notes The Geometry and Topology of Three-Manifolds. The work …

In this article we show that for every finite area hyperbolic surface X of type (g, n) and any
harmonic Beltrami differential μ on X, then the magnitude of μ at any point of small injectivity …

Abstract We use the Weil–Petersson gradient flow for renormalized volume to study the
space CC (N; S, X) of convex cocompact hyperbolic structures on the relatively acylindrical 3 …

An open Riemann surface X is said to satisfy the corona theorem if for every collection f1,...,
fn of holomorphic functions on X such that δ2<| f1| 2+···+| fn| 2< δ− 2 for some δ> 0 there are …

Effective contraction of Skinning maps Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY, SERIES B Volume 9, Pages 445–459 (November 2, 2022) https://doi.org/10.1090/bproc/134 …

Let Σ be a hyperbolic Riemann surface, with a covering map π: Δ→ Σ, where Δ is the unit
disc. Let Λ be a closed subset of Σ such that π− 1 (Σ− Λ) is connected. Let k≥ 2 be an …

The 8 problem addressed by this theorem arises in in several of our previous papers. It is
connected w for multiple-valued holomorphic functions (see [Dil] a about solving the 8 …

The Teichmüller space of a Riemann surface parametrizes the possible complex structures it
supports. The two most commonly studied metrics on this space are the Teichmüller metric …

Holomorphic k-differentials and holomorphic approximation on open Riemann surfaces
Page 1 Western University Scholarship@Western Electronic Thesis and Dissertation …

The paper “Notes on Notes of Thurston” was intended as an exposition of some portions of
Thurston's lecture notes The Geometry and Topology of Three-Manifolds. The work …