
Prof. Dawid Kielak
Dr. habil., DPhil, MMath
Pronouns
He / Him
Status
Academic Faculty
Professor of Pure Mathematics
Tutorial Fellow of Hertford College
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
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
Pure maths tutorials at Hertford College.
Prizes, awards, and scholarships
- Frontiers of Science 2023
- Whitehead Prize 2022
- ERC Starting Grant 2019 "FIBRING"
- Carl Albert Prize 2008
Recent publications
Coboundary expansion and Gromov hyperbolicity
Kielak, D Nowak, P (12 Sep 2023) http://arxiv.org/abs/2309.06215v1 Stallings's Fibring Theorem and $\mathrm{PD}^3$-pairs
Bridson, M Kielak, D Kudlinska, M (20 Jul 2023) http://arxiv.org/abs/2307.10725v1 Kazhdan constants for Chevalley groups over the integers
Kaluba, M Kielak, D (21 Jun 2023) http://arxiv.org/abs/2306.12358v2 The Atiyah conjecture for three-manifold groups
Kielak, D Linton, M (28 Mar 2023) http://arxiv.org/abs/2303.15907v2 Virtually free-by-cyclic groups
Kielak, D Linton, M (22 Feb 2023) http://arxiv.org/abs/2302.11500v2 Research interests
Geometric Group Theory and group rings.