Philip L. Bowers

activity

20162026

most citedRigidity of Circle Polyhedra in the 2-Sphere and of Hyperideal Polyhedra in Hyperbolic 3-Space

3 citations · 5 across the 5 of their papers we have counts for

collaborators

Showing math.GTShow all

3 papers · 1 filter

math.GT2023

Infinite circle packings on surfaces with conical singularities

Philip L. Bowers, Lorenzo Ruffoni

We show that given an infinite triangulation $K$ of a surface with punctures (i.e., with no vertices at the punctures) and a set of target cone angles smaller than $π$ at the punct…

math.GT2021★ 2 cited

Tame and relatively elliptic $CP^{1}$ -structures on the thrice-punctured sphere

Samuel A. Ballas, Philip L. Bowers, Alex Casella +1

Suppose a relatively elliptic representation $ρ$ of the fundamental group of the thrice-punctured sphere $S$ is given. We prove that all projective structures on $S$ with holonomy…

math.GT2020

Combinatorics encoding geometry: the legacy of Bill Thurston in the story of one theorem

Philip L. Bowers

This article presents a whirlwind tour of some results surrounding the Koebe-Andre'ev-Thurston Theorem, Bill Thurston's seminal circle packing theorem that appears in Chapter 13 of…

Infinite circle packings on surfaces with conical singularities

Tame and relatively elliptic CP1-structures on the thrice-punctured sphere

Combinatorics encoding geometry: the legacy of Bill Thurston in the story of one theorem

Tame and relatively elliptic $CP^{1}$ -structures on the thrice-punctured sphere