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Photo of Dawid Kielak

Prof. Dawid Kielak

Dr. habil., DPhil, MMath
Status
Academic Faculty

Associate Professor of Pure Mathematics and its Interfaces

Tutorial Fellow of Hertford College

 

Contact form
https://people.maths.ox.ac.uk/kielak/
+44 1865 615188
ORCID iD
https://orcid.org/0000-0002-5536-9070
Research groups
  • Topology
  • Algebra

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
  • 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
Research interests

Geometric Group Theory and group rings.

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