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Department of Pure Mathematics and Mathematical Statistics

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

Infinite loop spaces and positive scalar curvature in the presence of a fundamental group
J Ebert, O Randal-Williams
– Geometry & Topology
(2019)
23,
1549
E2$E_{2}$-cells and mapping class groups
S Galatius, A Kupers, O Randal-Williams
– Publications Mathématiques de l'Institut des Hautes Études Scientifiques
(2019)
130,
1
Semisimplicial spaces
J Ebert, O Randal-Williams
– Algebraic & Geometric Topology
(2019)
19,
2099
Some phenomena in tautological rings of manifolds
O Randal-Williams
– Selecta Mathematica
(2018)
24,
3835
Topology of electroweak vacua
B Gripaios, O Randal-Williams
– Physics Letters B
(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. II
S Galatius, O Randal-Williams
– Annals of Mathematics
(2017)
186,
215
Homological stability for spaces of embedded surfaces
FC Morán, O Randal-Williams
– Geometry & Topology
(2017)
21,
1387
Tautological rings for high-dimensional manifolds
S Galatius, I Grigoriev, O Randal-Williams
– Compositio Mathematica
(2017)
153,
851
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Room

E2.06

Telephone

01223 764291