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
Differential cohomology and topological actions in physics
– Advances in Theoretical and Mathematical Physics
(2020)
(doi: 10.48550/arxiv.2011.05768)
On automorphisms of high-dimensional solid tori
– Geometry and Topology
(2020)
28,
1629
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
– Comptes Rendus Mathematique
(2020)
358,
469
(doi: 10.48550/arxiv.2105.11158)
On the cohomology of Torelli groups
– Forum of Mathematics, Pi
(2020)
8,
e7
(doi: 10.48550/arxiv.1901.01862)
Homology of hurwitz spaces and the cohen-lenstra heuristic for function fields: [after Ellenberg, Venkatesh, and Westerland]
– Astérisque
(2020)
422,
469
(doi: 10.24033/AST.1143)
Semisimplicial spaces
– Algebraic & Geometric Topology
(2019)
19,
2099
(doi: 10.2140/agt.2019.19.2099)
$E_{2}$-cells and mapping class groups
– Publications Mathematiques De L Institut Des Hautes Etudes Scientifiques
(2019)
130,
1
(doi: 10.1007/s10240-019-00107-8)
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