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
Differential cohomology and topological actions in physics
– Advances in Theoretical and Mathematical Physics
(2020)
(doi: 10.48550/arxiv.2011.05768)
On automorphisms of high-dimensional solid tori
– Geom. Topol.
(2020)
28,
1629
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
– Comptes Rendus. Mathématique
(2020)
358,
469
(doi: 10.5802/crmath.61)
E∞-cells and general linear groups of infinite fields
– Duke mathematical journal
(2020)
ON the COHOMOLOGY of TORELLI GROUPS
– Forum of Mathematics, Pi
(2020)
8,
e7
(doi: 10.48550/arxiv.1901.01862)
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)
Semi-simplicial spaces
– Algebraic & Geometric Topology
(2019)
19,
2099
(doi: 10.2140/agt.2019.19.2099)
$E_2$-cells and mapping class groups
– Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
(2019)
130,
1
(doi: 10.1007/s10240-019-00107-8)
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