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
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 IHÉS
(2019)
130,
1
(doi: 10.1007/s10240-019-00107-8)
Infinite loop spaces and positive scalar curvature in the presence of a
fundamental group
– Geometry & Topology
(2018)
23,
1549
(doi: 10.2140/gt.2019.23.1549)
Some phenomena in tautological rings of manifolds
– Selecta Mathematica New Series
(2018)
24,
3835
(doi: 10.1007/s00029-018-0417-z)
Topology of electroweak vacua
– Journal of High Energy Physics
(2018)
782,
94
Homological stability for automorphism groups
– Advances in Mathematics
(2017)
318,
534
(doi: 10.1016/j.aim.2017.07.022)
Homological stability for moduli spaces of high dimensional manifolds. II
– Annals of Mathematics
(2017)
186,
127
(doi: 10.48550/arxiv.1601.00232)
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