Professor Oscar Randal-Williams | Faculty of Mathematics

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Sadleirian Professor of Pure Mathematics

Research Interests: Algebraic and Geometric Topology, in particular: mapping class groups, moduli spaces, cobordism categories, spaces of manifolds, surgery, configuration spaces, characteristic classes, K-theory and applications of homotopy theory to geometry.

Publications

Stable cohomology of congruence subgroups

O Randal-Williams

– Compositio Mathematica

(2026)

162,

1274

(doi: 10.1017/s0010437x26103315)

Some homotopy coherent finite group actions on spheres

M Krannich, O Randal-Williams

(2026)

(doi: 10.48550/arxiv.2607.15979)

(link to publication)

Diffeomorphisms of discs and the second Weiss derivative of BTop(–)

M Krannich, O Randal-Williams

– Inventiones Mathematicae

(2026)

1

(doi: 10.1007/s00222-026-01436-2)

Diffeomorphisms of discs and the second Weiss derivative of BTop(-)

M Krannich, O Randal-Williams

(2026)

(doi: 10.48550/arxiv.2109.03500)

TQFTs do not detect the Milnor sphere

B Gripaios, O Randal-Williams

(2026)

(doi: 10.48550/arxiv.2601.20828)

(link to publication)

The positive scalar curvature cobordism category

J Ebert, O Randal-Williams

(2025)

(doi: 10.48550/arxiv.1904.12951)

Even Temperley-Lieb algebras and the dga of planar loops

R Boyd, G Boyde, O Randal-Williams, RJ Sroka

(2025)

(link to publication)

E∞-cells and general linear groups of infinite fields

S Galatius, A Kupers, O Randal-Williams

– Duke mathematical journal

(2025)

174,

2927

(doi: 10.1215/00127094-2025-0005)

A chromatic approach to homological stability

O Randal-Williams

(2025)

(link to publication)

Smoothing topological pseudo-isotopies of 4-manifolds

P Orson, M Powell, O Randal-Williams

(2025)

(link to publication)