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
A vanishing theorem for tautological classes of aspherical manifolds
– Geometry and 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)
Differential cohomology and topological actions in physics
– Advances in Theoretical and Mathematical Physics
(2020)
27,
2045
(doi: 10.4310/atmp.2023.v27.n7.a3)
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)
Exposé Bourbaki 1164 : 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)
Semisimplicial spaces
– Algebraic and Geometric Topology
(2019)
19,
2099
(doi: 10.48550/arxiv.1705.03774)
$E_2$-cells and mapping class groups
– Publications Mathematiques De L Institut Des Hautes Etudes Scientifiques
(2019)
130,
1
(doi: 10.1007/s10240-019-00107-8)
Infinite loop spaces and positive scalar curvature in the presence of a
fundamental group
– Geometry & Topology
(2018)
23,
1549
(doi: 10.2140/gt.2019.23.1549)
- <
- 4 of 8