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
Infinite loop spaces and positive scalar curvature
– Inventiones mathematicae
(2017)
209,
1
(doi: 10.48550/arxiv.1411.7408)
An upper bound for the pseudoisotopy stable range.
– Math Ann
(2016)
368,
1081
(doi: 10.1007/s00208-016-1504-0)
Abelian quotients of mapping class groups of highly connected manifolds
– Mathematische Annalen
(2016)
365,
857
(doi: 10.48550/arxiv.1407.4680)
Resolutions of moduli spaces and homological stability
– Journal of the European Mathematical Society
(2016)
18,
1
(doi: 10.4171/jems/583)
Torelli spaces of high‐dimensional manifolds
– Journal of Topology
(2014)
8,
38
(doi: 10.1112/jtopol/jtu014)
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: 10.1112/jtopol/jtt029)
Group-completion', local coefficient systems and perfection
– 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: 10.1090/conm/620/12365)
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