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Andrea Bianchi - Publications

Published articles

  1. On two quotients of S2×S2 . Journal of Homotopy and Related Structures 20:549-553, 2025. arXiv
  2. Partially multiplicative quandles and simplicial Hurwitz spaces. Documenta Mathematica 30(3):611-672, 2025. arXiv
  3. Polynomial stability of the homology of Hurwitz spaces, with Jeremy Miller. Mathematische Annalen 391:4117-4144, 2025. arXiv
  4. Deloopings of Hurwitz spaces. Compositio Mathematica 160:1651-1714, 2024. arXiv
  5. 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
  6. Moduli spaces of Riemann surfaces as Hurwitz spaces. Advances in Mathematics 430:109217, 2023. arXiv
  7. Hurwitz-Ran spaces. Geometriae Dedicata 217:84, 2023. arXiv
  8. 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
  9. Vertical configuration spaces and their homology, with Florian Kranhold. Quarterly Journal of Mathematics 73(4):1279-1306, 2022. arXiv
  10. 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
  11. Parametrised moduli spaces of surfaces as infinite loop spaces, with Florian Kranhold and Jens Reinhold. Forum of Mathematics, Sigma 10:e39, 2022. arXiv
  12. An upper bound on the topological complexity of discriminantal varieties. Homology, Homotopy and Applications 24(1):161-176, 2022. arXiv
  13. Braid groups, mapping class groups and their homology with twisted coefficients. Mathematical Proceedings of the Cambridge Philosophical Society 172:249-266, 2022. arXiv
  14. On the homology of the commutator subgroup of the pure braid group. Proceedings of the American Mathematical Society 149(6):2387-2401, 2021. arXiv
  15. Splitting of the homology of the punctured mapping class group. Journal of Topology 13(3):1230-1260, 2020. arXiv
  16. 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

Preprints

  1. String topology and graph cobordisms, 2025. arXiv
  2. Poincaré Duality Pairs of ∞-Categories, with Kaif Hilman, Dominik Kirstein and Christian Kremer, 2025. arXiv
  3. Symmetric monoidal extensions and graph cobordisms between finite sets, 2025. arXiv
  4. Non-trivial action of the Johnson filtration on the homology of configuration spaces, with Andreas Stavrou, 2022. arXiv