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

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

Pure maths tutorials at Hertford College.

Prizes, awards, and scholarships

Recent publications

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) http://arxiv.org/abs/2307.10725v1

Kazhdan constants for Chevalley groups over the integers

Kaluba, M Kielak, D (21 Jun 2023) http://arxiv.org/abs/2306.12358v2

The Atiyah conjecture for three-manifold groups

Kielak, D Linton, M (28 Mar 2023) http://arxiv.org/abs/2303.15907v2

Virtually free-by-cyclic groups

Kielak, D Linton, M (22 Feb 2023) http://arxiv.org/abs/2302.11500v2

Research interests

Geometric Group Theory and group rings.