J. Parker

activity

20182020

collaborators

5 papers

math.GT2020

Classification of non-free Kleinian groups generated by two parabolic transformations

Hirotaka Akiyoshi, Ken'ichi Ohshika, John Parker +2

We give a full proof to Agol's announcement on the classification of non-free Kleinian groups generated by two parabolic transformations.

math.DS2019

Chaotic Delone sets

Jesús Antonio Álvarez López, Ramón Barral Lijó, John Hunton +2

We present a definition of chaotic Delone set, and establish the genericity of chaos in the space of $(ε, δ)$ -Delone sets for $ε \geq δ$ . We also present a hyperbolic analogue of the…

math.DG2019

Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces

Gerhard Knieper, John R. Parker, Norbert Peyerimhoff

In this article we consider solvable hypersurfaces of the form $N exp (R H)$ with induced metrics in the symmetric space $M = SL(3,\C)/SU(3)$, where $H$ a suitable unit length vec…

math.GT2018

Discreteness of Ultra-Parallel Complex Hyperbolic Triangle Groups of Type $[m_{1}, m_{2}, 0]$

Andrew Monaghan, John R. Parker, Anna Pratoussevitch

In this paper we consider ultra-parallel complex hyperbolic triangle groups of type $[m_{1}, m_{2}, 0]$ , i.e. groups of isometries of the complex hyperbolic plane, generated by complex r…

math.GT2018

Non-arithmetic monodromy of higher hypergeometric functions

John R. Parker

We show that all the currently known non-arithmetic lattices in $PU (2, 1)$ are monodromy groups of higher hypergeometric functions.

Classification of non-free Kleinian groups generated by two parabolic transformations

Chaotic Delone sets

Minimal codimension one foliation of a symmetric space by Damek-Ricci spaces

Discreteness of Ultra-Parallel Complex Hyperbolic Triangle Groups of Type [m1​,m2​,0]

Non-arithmetic monodromy of higher hypergeometric functions

Discreteness of Ultra-Parallel Complex Hyperbolic Triangle Groups of Type $[m_{1}, m_{2}, 0]$