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Department of Pure Mathematics and Mathematical Statistics

 

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

Moduli spaces of manifolds: a user's guide
S Galatius, O Randal-Williams
(2019)
Infinite loop spaces and positive scalar curvature in the presence of a fundamental group
J Ebert, O Randal-Williams
– Geometry & Topology
(2018)
23,
1549
Some phenomena in tautological rings of manifolds
O Randal-Williams
– Selecta Mathematica, New Series
(2018)
24,
3835
Topology of electroweak vacua
B Gripaios, O Randal-Williams
– Journal of High Energy Physics
(2018)
782,
94
Homological stability for automorphism groups
O Randal-Williams, N Wahl
– Advances in Mathematics
(2017)
318,
534
Homological stability for moduli spaces of high dimensional manifolds. II
S Galatius, O Randal-Williams
– Annals of Mathematics
(2017)
186,
127
Homological stability for moduli spaces of high dimensional manifolds. I
S Galatius, O Randal-Williams
– Journal of the American Mathematical Society
(2017)
31,
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
(2017)
24,
1453
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Room

E2.06

Telephone

01223 764291