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) Agrarian and ℓ2-Betti numbers of locally indicable groups, with a twist
Kielak, D Sun, B Mathematische Annalen (26 Mar 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) Teaching
Pure maths tutorials at Hertford College.
Prizes, awards, and scholarships
- Perspektywy Nauki 2024
- Frontiers of Science 2023
- Whitehead Prize 2022
- ERC Starting Grant 2019 "FIBRING"
- Carl Albert Prize 2008
Recent publications
Group rings of three-manifold groups
Kielak, D Proceedings of the American Mathematical Society volume 152 1939-1946 (25 Mar 2024) BNSR invariants and $\ell^2$-homology
Hughes, S Kielak, D (10 Jan 2024) http://arxiv.org/abs/2401.05545v1 Group rings of three-manifold groups
Kielak, D Linton, M (21 Nov 2023) 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) Research interests
Geometric Group Theory and group rings.