• Anna Sopena Gilboy
    PhD student

    Departament de Matemàtiques i Informàtica
    Universitat de Barcelona
    Gran Via 585
    08007 Barcelona

    e-mail:
    Office: X 07

  • Foto Anna
  • I am a PhD student and a member of the Topology Research Group at Universitat de Barcelona. My PhD is supervised by Joana Cirici and Jonas Stelzig.

  • Research interests

    • My research lies in algebraic topology, focusing on homotopical algebra and operadic calculus, and their interactions with complex geometry.

  • Publications and preprints

    • A-infinity structures for Bott-Chern and Aeppli cohomologies (with Joana Cirici and Roger Garrido)
      Complex Manifolds 12(1):Paper No. 20250012, 9, 2025.
      [Journal]
    • Filtered A-infinity structures in complex geometry (with Joana Cirici)
      Proceedings of the American Mathematical Society 150 (2022), no. 9, 4067-4082.
      [Arxiv] [Journal]

  • Conferences and workshops

    • Pluripotential A-infinity structures on the cohomology of a complex manifold, August 2025, Critical Math, Freiburg, Germany.
    • Pluripotential A-infinity structures on the cohomology of a complex manifold, April 2025, Informal Geometry Workshop in Paradiso 2025, Cogne, Italy.
    • Pluripotential A-infinity algebras, January 2025, VII Congreso de Jóvenes Investigadores (RSME), Bilbao, Spain. (Invited talk)
    • Pluripotential Operadic Calculus, May 2024, Stockholm Topology Seminar, Stockholm, Sweden. (Invited talk)
    • Pluripotential Operadic Calculus, May 2024, Higher Algebra, Geometry and Topology, Marseille, France. (Invited talk)
    • Pluripotential Operadic Calculus, March 2024, Après-midi parisienne de topologie algébraique, Paris, France. (Invited talk)
    • Pluripotential Operadic Calculus, January 2024, Workshop Alps 2024, Sainte-Foy-Tarentaise, France. (Invited talk)
    • Pluripotential Operadic Calculus, November 2023, Operadic Methods in Geometry, Barcelona, Spain. (Invited talk)
    • Bidifferential homotopy transfer and bbA-infinity algebras, November 2022, Homotopical Methods in Geometry, Barcelona, Spain.
    • Estructuras A-infinito filtradas en geometría compleja, October 2022, X Encuentro de Jóvenes Topólogos, Zaragoza, Spain.
    • Filtered A-infinity structures in complex geometry, July 2022, Young Topologists Meeting 2022, Copenhagen, Denmark.

  • Posters

    • Filtered A-infinity structures in complex geometry, July 5, 2021, Young Topologists Meeting 2021, Stockholm, Sweden.
    • Homotopy transfer theorem and persistence, July 22, 2019, Young Topologists Meeting 2019, Lausanne, Switzerland.

  • Teaching

    • Topologia (2024-2025). Universitat de Barcelona.
    • Topologia (2023-2024). Universitat de Barcelona.
    • Matemàtiques I (2021-2023). Universitat de Barcelona.