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Photo of Dawid Kielak

Prof. Dawid Kielak

Dr. habil., DPhil, MMath
Pronouns
He / Him
Status
Academic Faculty

Professor of Pure Mathematics
Tutorial Fellow of Hertford College

 

+44 1865 615188
Contact form
https://people.maths.ox.ac.uk/kielak/
ORCID iD
https://orcid.org/0000-0002-5536-9070
Research groups
  • Algebra
  • Topology
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted publications
Spectral gap and origami expanders
Arzhantseva, G Kielak, D de Laat, T Sawicki, D (28 Mar 2025)
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)
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
Teaching

Pure maths tutorials at Hertford College.

B2.2 Commutative Algebra

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London Mathematical Society Good Practice Scheme Athena SWAN Silver Award (ECU Gender Charter) Stonewall Silver Employer 2022

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