Prof. Dawid Kielak

Dr. habil., DPhil, MMath

Pronouns

He / Him

Status

Academic Faculty

Professor of Pure Mathematics
Tutorial Fellow of Hertford College

ORCID iD

Research groups

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

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