C. Simon

collaborators

4 papers

math.GT2026

The complexity of pinning simple multiloops

Eric Seo, Christopher-Lloyd Simon, Ben Stucky

A multiloop with $s \in N$ strands is a generic immersion $I^^{3} : ⊔_{1}^{s} S^{1} ↬ I^£$ of the union of $s$ circles into a surface $I^£$ , considered…

math.MG2025

Hyperbolic Simplices of Maximal Inradius

Bruno Duchesne, Christopher-Lloyd Simon

For $n \in N$ , consider a hyperbolic $n$ -dimensional simplex $I^$ , defined by $1 + n$ points in the compactified hyperbolic space $H^{n} ⊔ \partial H^{n}$ .…

math.GT2025

The pinning ideal of a multiloop

Christopher-Lloyd Simon, Ben Stucky

A multiloop $I^^{3} : ⊔_{1}^{s} S^{1} ↬ F$ is a generic immersion of a finite union of circles into an oriented surface, considered up to homeomorphi…

math.DS2025

Isogenies of minimal Cantor systems: from Sturmian to Denjoy and interval exchanges

Scott Schmieding, Christopher-Lloyd Simon

This work is motivated by the study of continued fraction expansions of real numbers: we describe in dynamical terms their orbits under the action of $PGL_{2} (Q)$ .…