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 & Topology
(2021)
25,
47
(doi: 10.48550/arxiv.1705.06232)
Framings of $W_{g,1}$
– The Quarterly Journal of Mathematics
(2021)
6,
1029
(doi: 10.1093/qmath/haaa057)
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: 10.48550/arxiv.1901.01862)
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 & Geometric Topology
(2019)
19,
2099
(doi: 10.2140/agt.2019.19.2099)
$E_{2}$-cells and mapping class groups
– Publications Mathématiques de l'Institut des Hautes Études Scientifiques
(2019)
130,
1
(doi: 10.48550/arxiv.1805.07187)
Infinite loop spaces and positive scalar curvature in the presence of a
fundamental group
– Geometry & Topology
(2018)
23,
1549
(doi: 10.48550/arxiv.1711.11363)
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