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Anna Sopena Gilboy
Laboratory for topology and neuroscience
EPFL - École Polytechnique Fédérale de Lausanne
1015 Lausanne
e-mail:
Office: MA B3 425 -
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I am a postdoctoral researcher in the algebraic topology group at the École Polytechnique Fédérale de Lausanne (EPFL), working with Kathryn Hess and Jérôme Scherer.
I received my PhD from the Universitat de Barcelona in May 2026 under the supervision of Joana Cirici and Jonas Stelzig. My thesis is available here: Pluripotential Operadic Calculus. -
Research interests
- My research lies in algebraic topology, focusing on homotopical algebra and operadic calculus, and their interactions with complex geometry.
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Publications and preprints
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Pluripotential operadic calculus
Preprint arXiv:2606.16538 -
The inflation functor in pluripotential homological algebra
(with Pedro Magalhães)
Preprint arXiv:2605.22418 -
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]
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Pluripotential operadic calculus
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Conferences and workshops
- Pluripotential Operadic Calculus, November 2025, Séminaire ALPE, Toulouse, France. (Invited talk)
- 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.
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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.
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Teaching
- Teaching assistant for Differential geometry I - curves and surfaces (Fall 2026). EPFL.
- Exercise sessions for Topologia (2024-2025). Universitat de Barcelona.
- Exercise sessions for Topologia (2023-2024). Universitat de Barcelona.
- Exercise sessions for Matemàtiques I (2021-2023). Universitat de Barcelona.