activity
20032023
most citedGroups acting on manifolds: around the Zimmer program

58 citations · 221 across the 38 of their papers we have counts for

collaborators

43 papers

math.GR2023

Greenberg-Shalom's Commensurator Hypothesis and Applications

Nic Brody, David Fisher, Mahan Mj +1

We discuss many surprising implications of a positive answer to a question raised in some cases by Greenberg in the s and more generally by Shalom in the early s. We ref…

math.GR2023★ 1 cited

A Tukia-type theorem for nilpotent Lie groups and quasi-isometric rigidity of solvable groups

Tullia Dymarz, David Fisher, Xiangdong Xie

In this paper we study uniform quasiconformal groups of Carnot-by-Carnot groups. We show that they can be conjugated into conformal groups provided the induced action on the space…

math.DG2022

Smooth and analytic actions of and on closed -dimensional manifolds

David Fisher, Karin Melnick

The main result is a classification of smooth actions of , , or connected groups locally isomorphic to it, on closed -manifolds, extending a theorem of…

math.GT2022

A new proof of finiteness of maximal arithmetic reflection groups

David Fisher, Sebastian Hurtado

We give a new proof of the finiteness of maximal arithmetic reflection groups. Our proof is novel in that it makes no use of trace formulas or other tools from the theory of automo…

math.GR2022

Commensurators of normal subgroups of lattices

David Fisher, Mahan Mj, Wouter Van Limbeek

We study a question of Greenberg-Shalom concerning arithmeticity of discrete subgroups of semisimple Lie groups with dense commensurators. We answer this question positively for no…

math.DS2021

Rigidity, lattices and invariant measures beyond homogeneous dynamics

David Fisher

This article discusses two recent works by the author, one with Brown and Hurtado on Zimmer's conjecture and one with Bader, Miller and Stover on totally geodesic submanifolds of r…