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

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Professor of 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

On the Cohomology of Torelli Groups. II

O Randal-Williams

(2024)

(doi: 10.1093/imrn/rnad143)

(link to publication)

Uniform twisted homological stability

J Miller, P Patzt, D Petersen, O Randal-Williams

(2024)

(link to publication)

On diffeomorphisms of even-dimensional discs

A Kupers, O Randal-Williams

– Journal of the American Mathematical Society

(2024)

(doi: 10.48550/arxiv.2007.13884)

Smooth generalized symmetries of quantum field theories

B Gripaios, O Randal-Williams, J Tooby-Smith

(2023)

(doi: 10.48550/arxiv.2310.16090)

(link to publication)

Algebraic independence of topological Pontryagin classes

O Randal-Williams, S Galatius

(2023)

(doi: 10.48550/arxiv.2208.11507)

The Alexander trick for homology spheres

S Galatius, O Randal-Williams

(2023)

(doi: 10.48550/arxiv.2308.15607)

(link to publication)

Monodromy and mapping class groups of 3-dimensional hypersurfaces

O Randal-Williams

(2023)

(link to publication)

Configuration spaces as commutative monoids

O Randal-Williams

(2023)

(link to publication)

On the Torelli Lie algebra

A Kupers, O Randal-Williams

– Forum of Mathematics, Pi

(2023)

11,

e13

(doi: 10.1017/fmp.2023.10)

Generalized symmetries of topological field theories

B Gripaios, O Randal-Williams, J Tooby-Smith

(2023)

(doi: 10.48550/arxiv.2209.13524)