Elsa Maneval

Welcome to my webpage!

Since September 2024, I am a PhD student in Mathematics at École Polytechnique Fédérale de Lausanne (EPFL).

I work under the supervision of Dimitri Wyss in the Chair of Arithmetic Geometry.

Previously, I studied at École Normale Supérieure Ulm and at Sorbonne Université in Paris.

My field of research is enumerative geometry. Precisely, I am interested in the use of \(p\)-adic and motivic integration techniques on moduli spaces of Higgs bundles and their mirror symmetry features.

Research

• Non-archimedean topological mirror symmetry for \(\mathrm{SL}_n\) and \(\mathrm{PGL}_n\) Higgs bundles, arXiv:2507.02588.

Upcoming Talks & Travel

• Workshop Duality for Higgs bundles, University of Bonn, 26 May 2026
  invited talk
• Workshop Geometric Representation Theory, Amiens, 29 June-1 July 2026
  invited talk
• Workshop Unifying geometric perspectives on the Hitchin moduli space, Bernoulli Center EPFL, 10-14 August 2026
  invited talk

Past Talks & Travel

• Algebra, Geometry and Topology Seminar, IST Austria, 5 March 2026
  invited talk : Higgs bundles and mirror symmetry
• Winter School Motives in Montpellier, IMAG, Université de Montpellier, 19-23 January 2026
  contributed talk : Towards an integral-theoretic definition of motivic BPS invariants Notes
• Séminaire Arithmétique et Géométrie Algébrique, Strasbourg, 18 December 2025
  invited talk : Higgs bundles and mirror symmetry
• Conference Rencontre ANR DAG Arts, Angers, 29-31 October 2025
  invited talk : Higgs bundles and mirror symmetry
• Conference Current trends in Calabi-Yau moduli, Strasbourg, 10-13 June 2025
  poster : Higgs bundles and mirror symmetry
• Conference Women in Mathematics, EPFL, 15-16 May 2025
  contributed talk : Arithmetic methods in enumerative geometry
• Conference Combinatorial Algebraic Geometry, Frankfurt, 31 March-4 April 2025
  short talk : Higgs bundles and mirror symmetry

Teaching

• Spring 2026 : Topology II, fundamental groups, Bachelor 2, lectured by Dimitri Wyss, EPFL (Teaching Assistant)
• Fall 2025 : Topology IV.a, Cohomology Rings, Master, lectured by Jerôme Scherer, EPFL (Teaching Assistant)
• Spring 2025 : Topology II, fundamental groups, Bachelor 2, lectured by Dimitri Wyss, EPFL (Principal Teaching Assistant)
• Fall 2024 : Algèbre I, Structures fondamentales, Bachelor 1, lectured by Dimitri Wyss, EPFL (Principal Teaching Assistant)
• Spring 2024 : Algebraic Geometry I, curves, Bachelor 3, lectured by Dimitri Wyss, EPFL (Solution sheets writing)
• Fall 2023 : Algèbre I, Structures fondamentales, Bachelor 1, lectured by Dimitri Wyss, EPFL (Teaching Assistant)
• 2020-2021 : Colles MP* , Lycée Condorcet, Paris (Weekly maths oral exams for students in Classes Prépa)

Project Supervision

• Spring 2025 : Szpiro’s inequality, Bachelor Thesis, Gabriel Guitart Stamatopol

Learning groups

• In Fall 2025, with Sebastian Schlegel Mejia, we organised a learning group on the preprint Cohomology of Symmetric Stacks.
• In Fall 2024, with Archi Kaushik, we organised a learning group on Intersection (Co)homology and Perverse Sheaves.

Contact

• Email: elsa.maneval [at] epfl [dot] ch
• Office : MA B3 515