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
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 Mathematique
(2021)
359,
149
(DOI: 10.5802/CRMATH.156)
A vanishing theorem for tautological classes of aspherical manifolds
– Geometry and Topology
(2021)
25,
47
(DOI: 10.2140/gt.2021.25.47)
Framings of $W_{g,1}$
– The Quarterly Journal of Mathematics
(2021)
72,
1029
(DOI: 10.1093/qmath/haaa057)
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
– Comptes Rendus Mathematique (Academie des Sciences)
(2020)
358,
469
(DOI: 10.5802/CRMATH.61)
On the cohomology of Torelli groups
– Forum of Mathematics, Pi
(2020)
8,
e7
(DOI: 10.1017/fmp.2020.5)
HOMOLOGY OF HURWITZ SPACES AND THE COHEN-LENSTRA HEURISTIC FOR FUNCTION FIELDS [after Ellenberg, Venkatesh, and Westerland]
– Asterisque
(2020)
422,
469
(DOI: 10.24033/ast.1143)
Semisimplicial spaces
– Algebraic and Geometric Topology
(2019)
19,
2099
(DOI: 10.2140/agt.2019.19.2099)
$E_2$-cells and mapping class groups
– Publications Mathématiques de l'Institut des Hautes Études Scientifiques
(2019)
130,
1
(DOI: 10.1007/s10240-019-00107-8)
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