Dawid Kielak

activity

20112025

most citedResidually finite rationally solvable groups and virtual fibring

38 citations · 139 across the 31 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.GT2021

Agrarian and $ℓ^{2}$ -Betti numbers of locally indicable groups, with a twist

Dawid Kielak, Bin Sun

We prove that twisted $ℓ^{2}$ -Betti numbers of locally indicable groups are equal to the usual $ℓ^{2}$ -Betti numbers rescaled by the dimension of the twisting representation; thi…

math.MG2021

Spectral gap and origami expanders

Goulnara Arzhantseva, Dawid Kielak, Tim de Laat +1

We construct the first measure-preserving affine actions with spectral gap on surfaces of arbitrary genus $g > 1$ . We achieve this by finding geometric representatives of multi-twi…

math.GR2021

JSJ decompositions and polytopes for two-generator one-relator groups

Giles Gardam, Dawid Kielak, Alan D. Logan

We provide a direct connection between the Z_{max} (or essential) JSJ decomposition and the Friedl--Tillmann polytope of a hyperbolic two-generator one-relator group with abelianis…

Agrarian and ℓ2-Betti numbers of locally indicable groups, with a twist

Spectral gap and origami expanders

JSJ decompositions and polytopes for two-generator one-relator groups

Agrarian and $ℓ^{2}$ -Betti numbers of locally indicable groups, with a twist