
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
Virtually Free-by-Cyclic Groups
Kielak, D Linton, M Geometric And Functional Analysis volume 34 issue 5 1580-1608 (22 Jul 2024) 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
Research interests
Geometric Group Theory and group rings.
Prizes, awards, and scholarships
- ERC Consolidator Grant 2024 "HigherHyper"
- Perspektywy Nauki 2024
- Frontiers of Science 2023
- Whitehead Prize 2022
- ERC Starting Grant 2019 "FIBRING"
- Carl Albert Prize 2008
Recent publications
Spectral gap and origami expanders
Arzhantseva, G Kielak, D de Laat, T Sawicki, D Commentarii Mathematici Helvetici (28 Mar 2025) Stallings's fibring theorem and PD3-pairs
Bridson, M Kielak, D Kudlinska, M Topology at Infinity of Discrete Groups 125-132 (16 Mar 2025) Profinite rigidity of fibring
Hughes, S Kielak, D Revista Matemática Iberoamericana (30 Jan 2025) Kazhdan constants for Chevalley groups over the integers
Kaluba, M Kielak, D Revista Matemática Iberoamericana (14 Nov 2024) Non-vanishing unitary cohomology of low-rank integral special linear
groups
Brück, B Hughes, S Kielak, D Mizerka, P (29 Oct 2024) http://arxiv.org/abs/2410.22310v2 groups
Teaching
Pure maths tutorials at Hertford College.
B2.2 Commutative Algebra