Jane Gilman

activity

20052023

most citedPrime Order Automorphisms of Riemann Surfaces

4 citations · 12 across the 18 of their papers we have counts for

collaborators

21 papers

math.GR2023

What's in a name? Parallel Universes

Jane Gilman

Every compact oriented Riemann surface with a finite group of self homeomorphisms can be embedded conformally in Euclidean three space so that the image group acts conformally. Her…

math.GR2022

Computability Models: Algebraic, Topological and Geometric Algorithms

Jane Gilman

The discreteness problem for finitely generated subgroups of $P S L (2, R)$ and $P S L (2, C)$ is a long-standing open problem. In this paper we consider whether or not t…

math.GR2021

Extending Harvey's Surface Kernel Maps

Jane Gilman

Let $S$ be a compact Riemann surface and $G$ a group of conformal automorphisms of $S$ with $S_{0} = S / G$ . $S$ is a finite regular branched cover of $S_{0}$ . If $U$ denotes the unit di…

math.DG2018★ 1 cited

Geometry and the Imagination in Minneapolis

John H. Conway, Peter G. Doyle, Jane Gilman +1

This document consists of the collection of handouts for a two-week summer workshop entitled 'Geometry and the Imagination', led by John Conway, Peter Doyle, Jane Gilman and Bill T…

math.GR2017

Conformal Automorphism Groups, Adapted Generating Sets and Bases

Jane Gilman

Let S be a compact Riemann surfaces of genus g >= 2 and G a conformal automoprhism group of order n acting on S. In this paper we give the definition of an adapted generating set a…

math.GR2017

Adjoining Roots and Rational Powers of Generators in PSL(2,\RR) and Discreteness

Jane Gilman

Let $G$ be a finitely generated group of isometries of $\HH^m$, hyperbolic $m$ -space, for some positive integer $m$ . %or equivalently elements of $PSL(2,\CC)$. The discreteness pro…