Publications and preprints

Publications

  • Mapping class group actions on configuration spaces and the Johnson filtration, with Jeremy Miller and Jennifer Wilson. Transactions of the American Mathematical Society 375:8 (2022) 5461-5489. arXiv
  • Parametrised moduli spaces of surfaces as infinite loop spaces, with Florian Kranhold and Jens Reinhold. Forum of Mathematics, Sigma 10 (2022), e39. arXiv
  • An upper bound on the topological complexity of discriminantal varieties. Homology, Homotopy and Applications 24:1 (2022) 161-176. arXiv
  • Braid groups, mapping class groups and their homology with twisted coefficients. Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 249-266. arXiv
  • On the homology of the commutator subgroup of the pure braid group. Proceedings of the American Mathematical Society 149:6 (2021) 2387-2401. arXiv
  • Splitting of the homology of the punctured mapping class group. Journal of Topology 13:3 (2020) 1230-1260. arXiv
  • Topological complexity of unordered configuration spaces of surfaces, with David Recio-Mitter. Algebraic & Geometric Topology 19 (2019) 1359–1384. arXiv

Accepted preprints

  • On Generators and Relations of the Rational Cohomology of Hilbert Schemes, with Alexander Mangulad Christgau and Jonathan Sejr Pedersen, 2022. To appear in Journal of Algebraic Combinatorics. arXiv
  • Vertical configuration spaces and their homology, with Florian Kranhold, 2021. To appear in Quarterly Journal of Mathematics. arXiv

Preprints

  • Non-trivial action of the Johnson filtration on the homology of configuration spaces, with Andreas Stavrou, 2022. arXiv
  • Moduli spaces of Riemann surfaces as Hurwitz spaces, 2021. arXiv
  • Deloopings of Hurwitz spaces, 2021. arXiv
  • A coordinate-free definition of Hurwitz spaces, 2021.
    arXiv
  • Partially multiplicative quandles and simplicial Hurwitz spaces, 2021.
    arXiv