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Faculty of Mathematics

 

University Lecturer

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

Homological stability for moduli spaces of high dimensional manifolds. II
S Galatius, O Randal-Williams
– Journal of the American Mathematical Society
(2017)
186,
215
Homological stability for spaces of embedded surfaces
FC Morán, O Randal-Williams
– Geometry and Topology
(2017)
21,
1387
Tautological rings for high-dimensional manifolds
S Galatius, I Grigoriev, O Randal-Williams
– Compositio Mathematica
(2017)
153,
851
Cohomology of automorphism groups of free groups with twisted coefficients
O Randal-Williams
– Selecta Mathematica, New Series
(2018)
24,
1453
Infinite loop spaces and positive scalar curvature
B Botvinnik, J Ebert, O Randal-Williams
– Inventiones Mathematicae
(2017)
209,
749
An upper bound for the pseudoisotopy stable range
O Randal-Williams
– Math Ann
(2017)
368,
1
Abelian quotients of mapping class groups of highly connected manifolds
S Galatius, O Randal-Williams
– Mathematische Annalen
(2016)
365,
857
Resolutions of moduli spaces and homological stability
O Randal-Williams
– Journal of the European Mathematical Society
(2016)
18,
1
Torelli spaces of high-dimensional manifolds
J Ebert, O Randal-Williams
– Journal of Topology
(2013)
8,
38
Generalized Miller-Morita-Mumford classes for block bundles and topological bundles
J Ebert, O Randal-Williams
– Algebraic and Geometric Topology
(2014)
14,
1181
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Research Group

Differential Geometry & Topology

Room

E2.06

Telephone

01223 764291