Add to ORKGThis dissertation is concerned with geometric and combinatoric problems of curves on surfaces. In Chapter 3, we show that certain families of iso-length spectral hyperbolic surfaces obtained via the Sunada construction are not generally simple iso-length spectral. In Chapter 4, We prove a strong form of finite rigidity for pants graphs of spheres. Specifically, for any n ≥ 5 we construct a finite subgraph Xn of the pants graph P(S0,n) of the n-punctures sphere S0,n with the following property. Any simplicial embedding of Xn into any pants graph P(S0,m) of a punctured sphere is induced by an embedding S0,n → S0,m
We investigate the terms arising in an identity for hyperbolic surfaces proved by Luo and Tan, namel...
On suppose que S=Sg,n est un surface connexe orientable de type topologique fini, de genre g≥3 et n≥...
ABSTRACT. We show that for a surface Σ, the subgraph of the pants graph determined by fixing a colle...
This dissertation is concerned with geometric and combinatoric problems of curves on surfaces. In Ch...
In this thesis, we obtain combinatorial algorithms that determine the minimal number of self-interse...
We study the coarse geometry of curve graphs and related graphs for connected, compact, orientable s...
This thesis primarily addresses the problem of untangling closed geodesics in finite covers of hyper...
Abstract. Our goal is to show, in two different contexts, that “random ” surfaces have large pants d...
Motivated by the ergodicity of geodesic flow on the unit tangent bundle of a closed hyperbolic surfa...
Length spectral rigidity is the question of under what circumstances the geometry of a surface can b...
The curve complex of a closed surface S of genus g ≥ 2, C(S), is the complex whose vertices are isot...
We introduce the notion of flat surfaces of finite type in the 3- sphere, give the algebro-geometric...
It is a theorem of Bers that any closed hyperbolic surface admits a pants decomposition consisting o...
AbstractWe study the synthetic geometry of the pants graph of the 5-holed sphere, establishing the e...
In 1996, Masur and Minsky showed that the curve graph is hyperbolic. Recently, Hensel, Przytycki, an...
We investigate the terms arising in an identity for hyperbolic surfaces proved by Luo and Tan, namel...
On suppose que S=Sg,n est un surface connexe orientable de type topologique fini, de genre g≥3 et n≥...
ABSTRACT. We show that for a surface Σ, the subgraph of the pants graph determined by fixing a colle...
This dissertation is concerned with geometric and combinatoric problems of curves on surfaces. In Ch...
In this thesis, we obtain combinatorial algorithms that determine the minimal number of self-interse...
We study the coarse geometry of curve graphs and related graphs for connected, compact, orientable s...
This thesis primarily addresses the problem of untangling closed geodesics in finite covers of hyper...
Abstract. Our goal is to show, in two different contexts, that “random ” surfaces have large pants d...
Motivated by the ergodicity of geodesic flow on the unit tangent bundle of a closed hyperbolic surfa...
Length spectral rigidity is the question of under what circumstances the geometry of a surface can b...
The curve complex of a closed surface S of genus g ≥ 2, C(S), is the complex whose vertices are isot...
We introduce the notion of flat surfaces of finite type in the 3- sphere, give the algebro-geometric...
It is a theorem of Bers that any closed hyperbolic surface admits a pants decomposition consisting o...
AbstractWe study the synthetic geometry of the pants graph of the 5-holed sphere, establishing the e...
In 1996, Masur and Minsky showed that the curve graph is hyperbolic. Recently, Hensel, Przytycki, an...
We investigate the terms arising in an identity for hyperbolic surfaces proved by Luo and Tan, namel...
On suppose que S=Sg,n est un surface connexe orientable de type topologique fini, de genre g≥3 et n≥...
ABSTRACT. We show that for a surface Σ, the subgraph of the pants graph determined by fixing a colle...