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
$E_\infty$-cells and general linear groups of finite fields
– Annales Scientifiques de l'École Normale Supérieure
(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 (with an appendix by Oscar Randal-Williams)
– Revista Matemática Iberoamericana
(2024)
40,
2003
(doi: 10.4171/rmi/1502)
Correction: Monodromy and mapping class groups of 3-dimensional hypersurfaces
– 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)
On automorphisms of high-dimensional solid tori
– Geometry & Topology
(2024)
28,
1629
(doi: 10.2140/gt.2024.28.1629)
Classical homological stability from the point of view of cells
– Algebraic and Geometric Topology
(2024)
24,
1691
(doi: 10.2140/agt.2024.24.1691)
Configuration spaces as commutative monoids
– Bulletin of the London Mathematical Society
(2024)
56,
2847
(doi: 10.1112/blms.13104)
Smooth generalized symmetries of quantum field theories
– Journal of Geometry and Physics
(2024)
201,
105212
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