Sadleirian Professor of Pure 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
Generalised Miller–Morita–Mumford classes for block bundles and topological bundles
– Algebraic & Geometric Topology
(2014)
14,
1181
(doi: 10.48550/arxiv.1306.3332)
Stable moduli spaces of high-dimensional manifolds
– Acta Mathematica
(2014)
212,
257
(doi: 10.1007/s11511-014-0112-7)
Homology of the moduli spaces and mapping class groups of framed, r-Spin and Pin surfaces
– Journal of Topology
(2014)
7,
155
(doi: 10.48550/arxiv.1001.5366)
Group-completion', local coefficient systems and perfection
– The Quarterly Journal of Mathematics
(2013)
64,
795
(doi: 10.1093/qmath/hat024)
Detecting and realising characteristic classes of manifold bundles
– Contemporary Mathematics
(2013)
620,
99
(doi: 10.48550/arxiv.1304.5571)
The space of immersed surfaces in a manifold
– Mathematical Proceedings of the Cambridge Philosophical Society
(2013)
154,
419
(doi: 10.1017/s0305004112000679)
Homological stability for moduli spaces of high dimensional manifolds
(2012)
(doi: 10.48550/arxiv.1203.6830)
STABLE COHOMOLOGY OF THE UNIVERSAL PICARD VARIETIES AND THE EXTENDED MAPPING CLASS GROUP
– Documenta Mathematica
(2012)
17,
417
(doi: 10.4171/dm/371)
HOMOLOGICAL STABILITY FOR UNORDERED CONFIGURATION SPACES
– The Quarterly Journal of Mathematics
(2011)
64,
303
(doi: 10.48550/arxiv.1105.5257)
The Picard group of the moduli space of $r$-spin Riemann surfaces
– Advances in Mathematics
(2011)
231,
482
(doi: 10.48550/arxiv.1102.0715)
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