Prof. Dawid Kielak

Dr. habil., DPhil, MMath

Status

Academic Faculty

Associate Professor of Pure Mathematics and its Interfaces

Tutorial Fellow of Hertford College

ORCID iD

Research groups

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted publications

On property (T) for $\mathrm{Aut}(F_n)$ and $\mathrm{SL}_n(\mathbb{Z})$

Kaluba, M Kielak, D Nowak, P Annals of Mathematics volume 193 issue 2 (01 Mar 2021)

Residually finite rationally solvable groups and virtual fibring

Kielak, D Journal of the American Mathematical Society volume 33 issue 2 451-486 (24 Dec 2019)

The Bieri–Neumann–Strebel invariants via Newton polytopes

Kielak, D Inventiones mathematicae volume 219 issue 3 1009-1068 (07 Sep 2019)

Alexander and Thurston norms, and the
Bieri–Neumann–Strebel invariants for free-by-cyclic groups

Funke, F Kielak, D Geometry & Topology volume 22 issue 5 2647-2696 (01 Jun 2018)

Teaching

GGT Advanced Class

Prizes, awards, and scholarships

Recent publications

Coherence for elementary amenable groups

Hughes, S Kielak, D Kropholler, P Leary, I (07 Feb 2023) http://arxiv.org/abs/2302.03346v1

Quasi-BNS invariants

Heuer, N Kielak, D (19 Oct 2022) http://arxiv.org/abs/2210.10607v1

Profinite rigidity of fibring

Hughes, S Kielak, D (22 Jun 2022) http://arxiv.org/abs/2206.11347v1

Spectral gap and origami expanders

Arzhantseva, G Kielak, D Laat, T Sawicki, D (22 Dec 2021) http://arxiv.org/abs/2112.11864v2

Agrarian and $\ell^2$-Betti numbers of locally indicable groups, with a
twist

Kielak, D Sun, B (14 Dec 2021) http://arxiv.org/abs/2112.07394v2

Research interests

Geometric Group Theory and group rings.