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
Detecting and realising characteristic classes of manifold bundles
– Contemporary Mathematics
(2013)
620,
99
(doi: 10.1090/conm/620/12365)
The space of immersed surfaces in a manifold
– Mathematical Proceedings of the Cambridge Philosophical Society
(2013)
154,
419
(doi: 10.48550/arxiv.1203.3358)
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
– Quarterly Journal of Mathematics
(2011)
64,
303
(doi: 10.1093/qmath/har033)
The Picard group of the moduli space of $r$-spin Riemann surfaces
– Advances in Mathematics
(2011)
231,
482
(doi: 10.48550/arxiv.1102.0715)
Relations among tautological classes revisited
– Advances in Mathematics
(2010)
231,
1773
(doi: 10.48550/arxiv.1012.1430)
Monoids of moduli spaces of manifolds
– Geometry & Topology
(2010)
14,
1243
(doi: 10.48550/arxiv.0905.2855)
Embedded cobordism categories and spaces of submanifolds
– International Mathematics Research Notices
(2010)
2011,
572
(doi: 10.1093/imrn/rnq072)
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