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

Algebraic independence of topological Pontryagin classes

O Randal-Williams, S Galatius

– Journal für die reine und angewandte Mathematik (Crelles Journal)

(2023)

2023,

287

(doi: 10.1515/crelle-2023-0051)

The Alexander trick for homology spheres

S Galatius, O Randal-Williams

(2023)

(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: 10.1007/JHEP03(2023)087)

On the order of Dehn twists

A Keating, O Randal-Williams

– The New York Journal of Mathematics

(2023)

29,

203

(link to publication)

The family signature theorem

O Randal-Williams

– Proceedings of the Royal Society of Edinburgh: Section A Mathematics

(2023)

1

(doi: 10.1017/prm.2022.91)

On the cohomology of Torelli groups. II

O Randal-Williams

(2023)

(doi: 10.1093/imrn/rnad143)

(link to publication)

Algebraic independence of topological Pontryagin classes

S Galatius, O Randal-Williams

(2022)

(doi: 10.48550/arxiv.2208.11507)