Publications and preprints

Publications

  • On the homology of the commutator subgroup of the pure braid group. Proceedings of the American Mathemathical 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

Preprints

  • Deloopings of Hurwitz spaces, 2021. arXiv
  • A coordinate-free definition of Hurwitz spaces, 2021.
    arXiv
  • Partially multiplicative quandles and simplicial Hurwitz spaces, 2021.
    arXiv
  • Parametrised moduli spaces of surfaces as infinite loop spaces, with Florian Kranhold and Jens Reinhold, 2021. arXiv
  • Mapping class group actions on configuration spaces and the Johnson filtration, with Jeremy Miller and Jennifer Wilson, 2021. arXiv
  • Vertical configuration spaces and their homology, with Florian Kranhold, 2021. arXiv
  • An upper bound on the topological complexity of discriminantal varieties, 2020. To appear in Homology, Homotopy and Applications. arXiv
  • Braid groups, mapping class groups and their homology with twisted coefficients, 2019. To appear in Mathemathical Proceedings of the Cambridge Philosophical Society. arXiv