Professor Oscar Randal-Williams | Department of Pure Mathematics and Mathematical Statistics

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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

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)

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)

$E_\infty$-cells and general linear groups of infinite fields

S GALATIUS, A KUPERS, O RANDAL-WILLIAMS

– Annales Scientifiques de l École Normale Supérieure

(2025)

57,

1845

(doi: 10.48550/arxiv.2005.05620)

Cellular $E_k$-algebras

S Galatius, A Kupers, O Randal-Williams

– ASTERISQUE

(2025)

1

(doi: 10.48550/arxiv.1805.07184)

CELLULAR Ek-ALGEBRAS

S Galatius, A Kupers, O Randal-Williams

(2025)

460,

1

The Alexander Trick for Homology Spheres

S Galatius, O Randal-Williams

– International Mathematics Research Notices

(2024)

2024,

14689

(doi: 10.1093/imrn/rnae255)