Arielle Leitner

activity

20082022

most citedGeneralized Cusps in Real Projective Manifolds: Classification

16 citations · 31 across the 12 of their papers we have counts for

collaborators

12 papers

math.GR2022

Chabauty limits of groups of involutions in $S L (2, F)$ for local fields

Corina Ciobotaru, Arielle Leitner

We classify Chabauty limits of groups fixed by various (abstract) involutions over $S L (2, F)$ , where $F$ is a finite field-extension of $Q_{p}$ , with $p \neq = 2$ . To do so, we…

math.GR2022

An Invitation to Coarse Groups

Arielle Leitner, Federico Vigolo

In this monograph we lay the foundation for a theory of coarse groups and coarse actions. Coarse groups are group objects in the category of coarse spaces, and can be thought of as…

math.GT2021

On the Chabauty space of $PSL_{2} (R)$ , I: lattices and grafting

Ian Biringer, Nir Lazarovich, Arielle Leitner

This is the first of two papers on the global topology of the space $Sub (G)$ of all closed subgroups of $G = PSL_{2} (R)$ , equipped with the Chabauty topology…

math.GT2020

The Moduli Space of Marked Generalized Cusps in Real Projective Manifolds

Samuel A. Ballas, Daryl Cooper, Arielle Leitner

In this paper, a generalized cusp is a properly convex manifold with strictly convex boundary that is diffeomorphic to $M \times [0, \infty)$ where $M$ is a closed Euclidean manifo…

math.GT2019

Local Limits of Connected Subgroups of $S L_{3} (R)$

Nir Lazarovich, Arielle Leitner

In this paper we describe the local limits under conjugation of all closed connected subgroups of $S L_{3} (R)$ in the Chabauty topology.

math.GT2017★ 2 cited

Chabauty Limits of Subgroups of $S L (n, Q_{p})$

Corina Ciobotaru, Arielle Leitner, Alain Valette

We study the Chabauty compactification of two families of closed subgroups of $S L (n, Q_{p})$ . The first family is the set of all parahoric subgroups of $S L (n, Q_{p})$ .…

math.GT2017★ 16 cited

Generalized Cusps in Real Projective Manifolds: Classification

Samuel A. Ballas, Daryl Cooper, Arielle Leitner

A generalized cusp $C$ is diffeomorphic to $[0, \infty)$ times a closed Euclidean manifold. Geometrically $C$ is the quotient of a properly convex domain by a lattice, $Γ$ , in one o…

math.GT2017★ 1 cited

Almost-Regular Dessins on a Sphere and Torus

Joachim König, Arielle Leitner, Danny Neftin

The Hurwitz problem asks which ramification data are realizable, that is appear as the ramification type of a covering. We use dessins d'enfant to show that families of genus 1 reg…

math.GT2015

A Classification of subgroups of SL(4,R) Isomorphic to R^3 and Generalized Cusps in Projective 3 Manifolds

Arielle Leitner

This paper uses work of Haettel to classify all subgroups of PGL(4,R) isomorphic to (R^3 , +), up to conjugacy. We use this to show there are 4 families of generalized cusps up to…

math.GT2014★ 9 cited

Limits Under Conjugacy of the Diagonal Subgroup in SL(n,R)

Arielle Leitner

We give a quadratic lower bound on the dimension of the space of conjugacy classes of subgroups of SL(n,R) that are limits under conjugacy of the diagonal subgroup. We give the fir…

math.GT2014★ 2 cited

Conjugacy Limits of the Cartan Subgroup in SL(3,R)

Arielle Leitner

A limit group is the limit of a sequence of conjugates of the diagonal Cartan subgroup, C, of SL(3,R). We show C has 5 possible limit groups, up to conjugacy. Each limit group is d…

math.CO2008★ 1 cited

Universal Cycles of Restricted Classes of Words

Arielle Leitner, Anant Godbole

It is well known that Universal Cycles of $k$ -letter words on an $n$ -letter alphabet exist for all $k$ and $n$ . In this paper, we prove that Universal Cycles exist for restricted c…

Chabauty limits of groups of involutions in SL(2,F) for local fields

An Invitation to Coarse Groups

On the Chabauty space of PSL2​(R), I: lattices and grafting

The Moduli Space of Marked Generalized Cusps in Real Projective Manifolds

Local Limits of Connected Subgroups of SL3​(R)

Chabauty Limits of Subgroups of SL(n,Qp​)

Generalized Cusps in Real Projective Manifolds: Classification

Almost-Regular Dessins on a Sphere and Torus

A Classification of subgroups of SL(4,R) Isomorphic to R^3 and Generalized Cusps in Projective 3 Manifolds

Limits Under Conjugacy of the Diagonal Subgroup in SL(n,R)

Conjugacy Limits of the Cartan Subgroup in SL(3,R)

Universal Cycles of Restricted Classes of Words

Chabauty limits of groups of involutions in $S L (2, F)$ for local fields

On the Chabauty space of $PSL_{2} (R)$ , I: lattices and grafting

Local Limits of Connected Subgroups of $S L_{3} (R)$

Chabauty Limits of Subgroups of $S L (n, Q_{p})$