Preprints

E-cells and general linear groups of finite fields ( ArXiV), with Søren Galatius and Alexander Kupers.

E2-cells and mapping class groups ( ArXiV), with Søren Galatius and Alexander Kupers.

Cellular Ek-algebras ( ArXiV), with Søren Galatius and Alexander Kupers.

A vanishing theorem for tautological classes of aspherical manifolds ( ArXiV), with Fabian Hebestreit, Markus Land, and Wolfgang Lück.

Semi-simplicial spaces ( ArXiV), with Johannes Ebert.


Publications

Infinite loop spaces and positive scalar curvature in the presence of a fundamental group ( ArXiV), with Johannes Ebert.
Geometry & Topology, to appear.

Topology of Electroweak Vacua ( ArXiV), with Ben Gripaios.
Physics Letters B 782 (2018) 94-98.

Some phenomena in tautological rings of manifolds ( ArXiV).
Selecta Mathematica 24 (4) (2018) 3835-3873.

Homological stability for automorphism groups ( ArXiV), with Nathalie Wahl.
Advances in Mathematics 318 (2017) 534-626.

Homological stability for moduli spaces of high dimensional manifolds. I ( ArXiV), with Søren Galatius.
Journal of the American Mathematical Society 31 (1) (2018) 215-268.
(This supersedes our earlier preprint arXiv:1203.6830.)

Cohomology of automorphism groups of free groups with twisted coefficients ( ArXiV).
Selecta Mathematica 24 (2) (2018) 1453-1478.
(This supersedes the earlier preprint arXiv:1012.1433.)

Homological stability for moduli spaces of high dimensional manifolds. II ( ArXiV), with Søren Galatius.
Annals of Mathematics 186 (1) (2017) 127-204.

Infinite loop spaces and positive scalar curvature (pdf) ( ArXiV), with Boris Botvinnik and Johannes Ebert.
Inventiones mathematicae 209 (3) (2017), 749-835.

An upper bound for the pseudoisotopy stable range ( ArXiV).
Mathematische Annalen, 368 (3) (2017), 1081-1094.

Tautological rings for high dimensional manifolds ( ArXiV), with Søren Galatius and Ilya Grigoriev.
Compositio Mathematica 153 (4) (2017) 851-866.

Homological stability for spaces of embedded surfaces ( ArXiV), with Federico Cantero.
Geometry & Topology 21 (2017) 1387-1467.

Abelian quotients of mapping class groups of highly connected manifolds ( ArXiV), with Søren Galatius.
Mathematische Annalen 365 (1) (2016) 857-879.

Resolutions of moduli spaces and homological stability ( ArXiV).
Journal of the European Mathematical Society 18 (2016) 1-81.

Torelli spaces of high-dimensional manifolds ( ArXiV), with Johannes Ebert.
Journal of Topology 8 (1) (2015) 38-64.

Stable moduli spaces of high-dimensional manifolds ( ArXiV), with Søren Galatius.
Acta Mathematica 212 (2014), no. 2, 257-377.
Erratum

Detecting and realising characteristic classes of manifold bundles ( ArXiV), with Søren Galatius.
Algebraic Topology: Applications and New Directions (Stanford, CA, 2012), Contemp. Math.

Generalised Miller-Morita-Mumford classes for block bundles and topological bundles ( ArXiV), with Johannes Ebert.
Algebraic & Geometric Topology 14 (2014) 1181-1204.

"Topological chiral homology" and configuration spaces of spheres.
Morfismos, (MIMS proceedings issue), Vol. 17 No 2 (2013) 57-70.

Homology of the moduli spaces and mapping class groups of framed, r-Spin and Pin surfaces ( ArXiV).
Journal of Topology 7 (1) (2014) 155-186.
Erratum

"Group-Completion", local coefficient systems, and perfection ( Preprint).
Quarterly Journal of Mathematics 64 (3) (2013) 795-803.

The space of immersed surfaces in a manifold ( ArXiV).
Mathematical Proceedings of the Cambridge Philosophical Society 154 (3) (2013) 419-438.

Relations among tautological classes revisited ( ArXiV).
Advances in Mathematics 231 (3-4) (2012) 1773-1785.

The Picard group of the moduli space of r-Spin Riemann surfaces ( ArXiV).
Advances in Mathematics 231 (1) (2012) 482-515.

Stable cohomology of the universal Picard varieties and the extended mapping class group ( ArXiV), with Johannes Ebert.
Documenta Mathematica 17 (2012) 417-450.

Homological stability for unordered configuration spaces ( ArXiV).
Quarterly Journal of Mathematics 64 (1) (2013) 303-326.

Embedded cobordism categories and spaces of submanifolds ( ArXiV).
International Mathematics Research Notices 3 (2011) 572-608.

Monoids of moduli spaces of manifolds ( ArXiV), with Søren Galatius.
Geometry & Topology 14 (2010) 1243-1302.
Erratum

The homology of the stable non-orientable mapping class group ( ArXiV).
Algebraic & Geometric Topology 8 (2008) 1811-1832.
Erratum

On the divisibility of characteristic classes of non-orientable surface bundles ( ArXiV), with Johannes Ebert.
Topology and its Applications 156 (2008) 246-250.


Other documents

A fibre bundle of signature 4, 2015.

On diffeomorphisms acting on almost complex structures, 2015.

The complex of injective words is highly connected, 2015.

A combinatorial identity, 2012.

Non-triviality of torsion universal characteristic classes of 3-manifold bundles, 2009.

On Rognes' connectivity conjecture, for the "Topologie" Oberwolfach report, 2018.

Cohomology of Aut(F_n) with twisted coefficients, for the "Topologie" Oberwolfach report, 2016.

Stable moduli spaces of high dimensional manifolds, for the "Topologie" Oberwolfach report, 2014.

Homological stability for moduli spaces of manifolds, for the "Topologie" Oberwolfach report, 2012.

Monoids of moduli spaces of manifolds, II, for the "Topologie" Oberwolfach report, 2010.

Monoids of moduli spaces of manifolds, for the "Manifold Perspectives" Oberwolfach report, 2009.

Homological stability for moduli spaces of high dimensional manifolds ( ArXiV), with Søren Galatius. (Superseded by "Homological stability for moduli spaces of high dimensional manifolds. I")

The stable cohomology of automorphisms of free groups with coefficients in the homology representation ( ArXiV). (Superseded by "Cohomology of automorphism groups of free groups with twisted coefficients" above.)