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Andrea Bianchi - Publications

Published articles

  1. Deloopings of Hurwitz spaces. Compositio Mathematica 160:1651-1714, 2024. arXiv
  2. Homology of configuration spaces of surfaces modulo an odd prime, with Andreas Stavrou. Journal für die reine und angewandte Mathematik 2024(813):197- 258, 2024. arXiv
  3. Moduli spaces of Riemann surfaces as Hurwitz spaces. Advances in Mathematics 430:109217, 2023. arXiv
  4. Hurwitz-Ran spaces. Geometriae Dedicata 217:84, 2023. arXiv
  5. On Generators and Relations of the Rational Cohomology of Hilbert Schemes, with Alexander Mangulad Christgau and Jonathan Sejr Pedersen. Journal of Algebraic Combinatorics 57:829-857, 2023. arXiv
  6. Vertical configuration spaces and their homology, with Florian Kranhold. Quarterly Journal of Mathematics 73(4):1279-1306, 2022. arXiv
  7. 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):5461-5489, 2022. arXiv
  8. Parametrised moduli spaces of surfaces as infinite loop spaces, with Florian Kranhold and Jens Reinhold. Forum of Mathematics, Sigma 10:e39, 2022. arXiv
  9. An upper bound on the topological complexity of discriminantal varieties. Homology, Homotopy and Applications 24(1):161-176, 2022. arXiv
  10. Braid groups, mapping class groups and their homology with twisted coefficients. Mathematical Proceedings of the Cambridge Philosophical Society 172:249-266, 2022. arXiv
  11. On the homology of the commutator subgroup of the pure braid group. Proceedings of the American Mathematical Society 149(6):2387-2401, 2021. arXiv
  12. Splitting of the homology of the punctured mapping class group. Journal of Topology 13(3):1230-1260, 2020. arXiv
  13. Topological complexity of unordered configuration spaces of surfaces, with David Recio-Mitter. Algebraic & Geometric Topology 19:1359-1384, 2019. arXiv

Accepted articles

  1. Segal K-theory of vector spaces with an automorphism, with Florian Kranhold, 2024. To appear in International Mathematics Research Notices. arXiv
  2. Polynomial stability of the homology of Hurwitz spaces, with Jeremy Miller, 2023. To appear in Mathematische Annalen. arXiv

Preprints

  1. On two quotients of S2×S2 , 2024. arXiv
  2. Non-trivial action of the Johnson filtration on the homology of configuration spaces, with Andreas Stavrou, 2022. arXiv
  3. Partially multiplicative quandles and simplicial Hurwitz spaces, 2021. arXiv