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
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
– Comptes Rendus. Mathématique
(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)
Semi-simplicial 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)
Moduli spaces of manifolds: a user's guide
(2019)
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 the Electroweak Vacua
– Physics Letters, Section B: Nuclear, Elementary Particle and 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: 10.4007/annals.2017.186.1.4)
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