
Prof. Dawid Kielak
Dr. habil., DPhil, MMath
Status
Academic Faculty
Associate Professor of Pure Mathematics and its Interfaces
Tutorial Fellow of Hertford College
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) Bieri–Neumann–Strebel invariants for free-by-cyclic groups
Teaching
GGT Advanced Class
Prizes, awards, and scholarships
- Whitehead Prize 2022
- ERC Starting Grant 2019 "FIBRING"
- Carl Albert Prize 2008
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 twist
Research interests
Geometric Group Theory and group rings.