J. Parker

activity

19982026

most citedNew non-arithmetic complex hyperbolic lattices

61 citations · 81 across the 13 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.GT2018★ 4 cited

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.

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 $[m_{1}, m_{2}, 0]$