Professor of 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
On the order of Dehn twists
– The New York Journal of Mathematics
(2023)
29,
203
The family signature theorem
– Proceedings of the Royal Society of Edinburgh: Section A Mathematics
(2023)
1
(doi: 10.1017/prm.2022.91)
THE POSITIVE SCALAR CURVATURE COBORDISM CATEGORY br
– Duke Mathematical Journal
(2022)
171,
2275
(doi: 10.1215/00127094-2022-0023)
Classical homological stability from the point of view of cells
– Algebraic and Geometric Topology
(2022)
Diffeomorphisms of discs and the second Weiss derivative of BTop(-)
(2021)
(doi: 10.48550/arxiv.2109.03500)
Tautological rings and stabilisation
– Glasgow Mathematical Journal
(2021)
64,
231
(doi: 10.1017/S0017089521000045)
An $HP^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus
– Comptes Rendus. Mathématique
(2021)
359,
149
(doi: 10.48550/arxiv.2007.15062)
A vanishing theorem for tautological classes of aspherical manifolds
– Geometry & Topology
(2021)
25,
47
(doi: 10.48550/arxiv.1705.06232)
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