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)
$E_\infty$-cells and general linear groups of finite fields
– Annales Scientifiques De L Ecole Normale Superieure
(2025)
57,
1845
(doi: 10.24033/asens.2599)
The Alexander Trick for Homology Spheres
– International Mathematics Research Notices
(2024)
2024,
14689
(doi: 10.1093/imrn/rnae255)
Asymptotic mapping class groups of Cantor manifolds and their finiteness properties
– Revista Matematica Iberoamericana
(2024)
40,
2003
(doi: 10.4171/RMI/1502)
Correction: Monodromy and mapping class groups of 3-dimensional hypersurfaces(Mathematische Annalen, 10.1007/s00208-024-02951-4)
– Mathematische Annalen
(2024)
391,
2005
(doi: 10.1007/s00208-024-02990-x)
Monodromy and mapping class groups of 3-dimensional hypersurfaces
– Mathematische annalen
(2024)
391,
1965
(doi: 10.48550/arxiv.2308.06397)
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