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
An $HP^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus
– Comptes Rendus Mathematique
(2021)
359,
149
(doi: 10.5802/crmath.156)
A vanishing theorem for tautological classes of aspherical manifolds
– Geometry & Topology
(2021)
25,
47
(doi: 10.2140/gt.2021.25.47)
Framings of $W_{g,1}$
– The Quarterly Journal of Mathematics
(2021)
72,
1029
(doi: 10.48550/arxiv.2007.00532)
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
– Comptes Rendus Mathématique
(2020)
358,
469
(doi: 10.5802/CRMATH.61)
On the cohomology of Torelli groups
– Forum of Mathematics Pi
(2020)
8,
e7
(doi: 10.1017/fmp.2020.5)
Homology of hurwitz spaces and the cohen-lenstra heuristic for function fields: [after Ellenberg, Venkatesh, and Westerland]
– Asterisque
(2020)
422,
469
(doi: 10.24033/AST.1143)
Semi-simplicial spaces
– Algebraic & Geometric Topology
(2019)
19,
2099
(doi: 10.2140/agt.2019.19.2099)
$E_2$-cells and mapping class groups
– Publications mathématiques de l'IHÉS
(2019)
130,
1
(doi: 10.1007/s10240-019-00107-8)
Infinite loop spaces and positive scalar curvature in the presence of a
fundamental group
– Geometry and Topology
(2018)
23,
1549
(doi: 10.2140/gt.2019.23.1549)
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