Julien Paupert

collaborators

2 papers

math.GT2018

Hybrid lattices and thin subgroups of Picard modular groups

Julien Paupert, Joseph Wells

We consider a certain hybridization construction which produces a subgroup of $PU (n, 1)$ from a pair of lattices in $PU (n - 1, 1)$ . Among the Picard modular groups ${\rm PU…

math.GT2016

Involution and commutator length for complex hyperbolic isometries

Julien Paupert, Pierre Will

We study decompositions of complex hyperbolic isometries as products of involutions. We show that PU(2,1) has involution length 4 and commutator length 1, and that for all $n \geqs…