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
E∞-cells and general linear groups of infinite fields
– Duke Mathematical Journal
(2025)
174,
2927
(doi: 10.1215/00127094-2025-0005)
The Alexander trick for homology spheres
– International mathematics research notices
(2024)
2024,
14689
(doi: 10.48550/arxiv.2308.15607)
Asymptotic mapping class groups of Cantor manifolds and their finiteness properties (with an appendix by Oscar Randal-Williams)
– Revista Matematica Iberoamericana
(2024)
40,
2003
(doi: 10.4171/RMI/1502)
Monodromy and mapping class groups of 3-dimensional hypersurfaces (Aug, 10.1007/s00208-024-02951-4, 2024)
– Mathematische Annalen
(2024)
391,
2005
(doi: 10.1007/s00208-024-02990-x)
Monodromy and mapping class groups of 3-dimensional hypersurfaces.
– Math Ann
(2024)
391,
1965
(doi: 10.1007/s00208-024-02951-4)
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