# 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

Detecting and realising characteristic classes of manifold bundles
S Galatius, O Randal-Williams
– ALGEBRAIC TOPOLOGY: APPLICATIONS AND NEW DIRECTIONS
(2014)
620,
99
Homology of the moduli spaces and mapping class groups of framed, r-Spin and Pin surfaces
O Randal-williams
– Journal of Topology
(2014)
7,
155
Stable moduli spaces of high dimensional manifolds
S Galatius, O Randal-Williams
– Acta Mathematica
(2014)
212,
257
Group-completion', local coefficient systems and perfection
O Randal-Williams
– The Quarterly Journal of Mathematics
(2013)
64,
795
The space of immersed surfaces in a manifold
O Randal-Williams
– Mathematical Proceedings of the Cambridge Philosophical Society
(2013)
154,
419
The Picard group of the moduli space of $r$-spin Riemann surfaces
O Randal-Williams
(2012)
231,
482
Relations among tautological classes revisited
O Randal-Williams
(2012)
231,
1773
Homological stability for unordered configuration spaces
O Randal-Williams
– Quarterly Journal of Mathematics
(2011)
64,
303
Stable cohomology of the universal Picard varieties and the extended mapping class group
J Ebert, O Randal-Williams
– Documenta Mathematica
(2010)
17,
417
Monoids of moduli spaces of manifolds
G Søren, O Randal-Williams
– Geometry & Topology
(2009)
14,
1243
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