Preprints
TQFTs do not detect the Milnor sphere (ArXiV), with Ben Gripaios.
Even Temperley-Lieb algebras and the dga of planar loops (ArXiV), with Rachael Boyd, Guy Boyde, and Robin Sroka.
A chromatic approach to homological stability (ArXiV).
Smoothing topological pseudo-isotopies of 4-manifolds (ArXiV), with Patrick Orson and Mark Powell.
Homological stability for general linear groups over Dedekind domains (ArXiV).
Uniform twisted homological stability (ArXiV), with Jeremy Miller, Peter Patzt, and Dan Petersen.
Stable cohomology of congruence subgroups (ArXiV).
Diffeomorphisms of discs and the second Weiss derivative of BTop(-) (ArXiV), with Manuel Krannich.
Quantization of Chern-Simons topological invariants for H-type and L-type quantum systems (ArXiV), with Lokman Tsui and Xiao-Gang Wen.
Publications
E∞-cells and general linear groups of infinite fields (ArXiV), with Søren Galatius and Alexander Kupers.
The Alexander trick for homology spheres (ArXiV), with Søren Galatius.
Monodromy and mapping class groups of 3-dimensional hypersurfaces (ArXiV).
Appendix to Asymptotic mapping class groups of Cantor manifolds and their finiteness properties (ArXiV), by Javier Aramayona, Kai-Uwe Bux, Jonas Flechsig, Nansen Petrosyan, Xiaolei Wu.
Configuration spaces as commutative monoids (ArXiV), with an appendix with Quoc P. Ho.
Smooth generalized symmetries of quantum field theories (ArXiV), with Ben Gripaios and Joseph Tooby-Smith.
E∞-cells and general linear groups of finite fields (ArXiV), with Søren Galatius and Alexander Kupers.
Cellular Ek-algebras (ArXiV), with Søren Galatius and Alexander Kupers.
On diffeomorphisms of even-dimensional discs (ArXiV), with Alexander Kupers.
Differential cohomology and topological actions in physics (ArXiV), with Joe Davighi and Ben Gripaios.
Algebraic independence of topological Pontryagin classes (ArXiV), with Søren Galatius.
On the cohomology of Torelli groups. II (ArXiV).
Generalized symmetries of topological field theories (ArXiV), with Ben Gripaios and Joseph Tooby-Smith.
On the Torelli Lie algebra (ArXiV), with Alexander Kupers.
The family signature theorem (ArXiV).
Classical homological stability from the point of view of cells (ArXiV).
On automorphisms of high-dimensional solid tori (ArXiV), with Mauricio Bustamante.
On the order of Dehn twists (ArXiV), with Ailsa Keating.
Diffeomorphisms of discs (ArXiV).
The positive scalar curvature cobordism category (ArXiV), with Johannes Ebert.
Tautological rings and stabilisation (ArXiV).
An HP2-bundle over S4 with nontrivial Â-genus (ArXiV), with Manuel Krannich and Alexander Kupers.
Framings of Wg,1 (ArXiV), with Alexander Kupers.
Homology of Hurwitz spaces and the Cohen—Lenstra heuristic for function fields (after Ellenberg, Venkatesh, and Westerland) (ArXiV).
The cohomology of Torelli groups is algebraic (ArXiV), with Alexander Kupers.
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic (ArXiV), with Manuel Krannich.
Operations on stable moduli spaces (ArXiV), with Søren Galatius.
On the cohomology of Torelli groups (ArXiV), with Alexander Kupers.
A vanishing theorem for tautological classes of aspherical manifolds (ArXiV), with Fabian Hebestreit, Markus Land, and Wolfgang Lück.
Moduli spaces of manifolds: a user's guide (ArXiV), with Søren Galatius.
E2-cells and mapping class groups (ArXiV), with Søren Galatius and Alexander Kupers.
Semisimplicial spaces (ArXiV), with Johannes Ebert.
Infinite loop spaces and positive scalar curvature in the presence of a fundamental group (ArXiV), with Johannes Ebert.
Topology of Electroweak Vacua (ArXiV), with Ben Gripaios.
Some phenomena in tautological rings of manifolds (ArXiV).
Homological stability for automorphism groups (ArXiV), with Nathalie Wahl.
Homological stability for moduli spaces of high dimensional manifolds. I (ArXiV), with Søren Galatius.
Cohomology of automorphism groups of free groups with twisted coefficients (ArXiV).
Homological stability for moduli spaces of high dimensional manifolds. II (ArXiV), with Søren Galatius.
Infinite loop spaces and positive scalar curvature (ArXiV), with Boris Botvinnik and Johannes Ebert.
An upper bound for the pseudoisotopy stable range (ArXiV).
Tautological rings for high dimensional manifolds (ArXiV), with Søren Galatius and Ilya Grigoriev.
Homological stability for spaces of embedded surfaces (ArXiV), with Federico Cantero.
Abelian quotients of mapping class groups of highly connected manifolds (ArXiV), with Søren Galatius.
Resolutions of moduli spaces and homological stability (ArXiV).
Torelli spaces of high-dimensional manifolds (ArXiV), with Johannes Ebert.
Stable moduli spaces of high-dimensional manifolds (ArXiV), with Søren Galatius.
Detecting and realising characteristic classes of manifold bundles (ArXiV), with Søren Galatius.
Generalised Miller-Morita-Mumford classes for block bundles and topological bundles (ArXiV), with Johannes Ebert.
"Topological chiral homology" and configuration spaces of spheres.
Homology of the moduli spaces and mapping class groups of framed, r-Spin and Pin surfaces (ArXiV).
"Group-Completion", local coefficient systems, and perfection (Preprint).
The space of immersed surfaces in a manifold (ArXiV).
Relations among tautological classes revisited (ArXiV).
The Picard group of the moduli space of r-Spin Riemann surfaces (ArXiV).
Stable cohomology of the universal Picard varieties and the extended mapping class group (ArXiV), with Johannes Ebert.
Homological stability for unordered configuration spaces (ArXiV).
Embedded cobordism categories and spaces of submanifolds (ArXiV).
Monoids of moduli spaces of manifolds (ArXiV), with Søren Galatius.
The homology of the stable non-orientable mapping class group (ArXiV).
On the divisibility of characteristic classes of non-orientable surface bundles (ArXiV), with Johannes Ebert.
Other documents
Topological embeddings of S2 into S4 (2024).
A remark on the homology of Temperley-Lieb algebras (2021).
Miller-Morita-Mumford classes vanish on the moduli space of hypersurfaces (2019).
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).
Topologie, Oberwolfach report, 2024.
Algebraic independence of topological Pontrjagin classes, for the "Topologie" Oberwolfach report (2022).
Lecture notes on cellular Ek-algebras for the "Cellular Ek-algebras" Oberwolfach Seminar (2021).
Manifolds and Groups, Oberwolfach report (2020).
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).
A note on the family signature theorem (2019).
(Superseded by "The family signature theorem".)
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".)