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
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 ${\bf H}P^2$-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: 10.2140/gt.2021.25.47)
Framings of $W_{g,1}$
– Quarterly Journal of Mathematics
(2021)
6,
1029
(doi: 10.48550/arxiv.2007.00532)
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