Research topic

The general goal of my PhD is to evaluate association statistics of electrophysiological data. Among other techniques, I apply topological data analysis tools.

Keywords: mathematical neuroscience, topological data analysis

Submitted papers

• Louise Martineau, Christophe Pouzat, Ségolen Geffray (2026). Persistent homology of spike trains with the Curto-Itskov filtration: stability and applications.
  [HAL]
• Louise Martineau, Christophe Pouzat, Ségolen Geffray (2025). ToMATo: an efficient and robust clustering algorithm for high dimensional datasets. An illustration with spike sorting.
  [HAL]

Conference and Seminar Presentations

• June 2026: Poster at the International Conference on Mathematical Neuroscience 2026, Montréal.
  Persistent homology of spike trains with the Curto-Itskov filtration.
• April 2026: Talk at the PhD Student Seminar, Strasbourg.
  Topology and neuroscience: applying persistent homology to spike train analysis.
• Nov. 2025: Invited talk at the Journées Probabilités & Statistique de l'IECL (Probability and Statistics Days), Nancy.
  The ToMATo clustering algorithm for spike sorting.
• Nov. 2025: Poster at the Journées Math Bio Santé 2025 (Math-Bio-Health days), Montpellier.
  The ToMATo clustering algorithm for spike sorting.
• Oct. 2025: Contributed talk at the Mathematical Biology Modelling days of Besançon, Besançon.
  The ToMATo clustering algorithm for spike sorting.
• Oct. 2025: Poster at the Forum Entreprises & Mathématiques 2025 (Industry–Mathematics Forum), Paris.
  The ToMATo clustering algorithm for spike sorting.
• June 2025: Poster at the International Conference on Mathematical Neuroscience, Barcelona.
  The ToMATo clustering algorithm for spike sorting.
• June 2025: Contributed talk at the Journées de Statistiques de la SFdS (Statistics Days of the French Statistical Society) , Marseille.
  The ToMATo clustering algorithm for neuronal spike sorting.
• May 2025: Invited talk at the PhD Student Seminar , IECL Nancy.
  Introduction to topological data analysis in Statistics and applications in neuroscience.
• March 2025: Talk at the PhD Student Seminar, Strasbourg.
  The ToMATo clustering algorithm for neuronal spike sorting.
• Oct. 2024: Poster at the PhD Students Welcome Day, Strasbourg.
  Topological data analysis as a new tool in neuroscience.
• March 2024: Talk at the Statistics Seminar, Strasbourg.
  Introduction to topological data analysis in Statistics.
• Feb. 2024: Talk at the PhD Student Seminar, Strasbourg.
  Manifold, Tangent Space and Curvature Estimation.
  Based on the article "Non-Asymptotic Rates for Manifold, Tangent Space and Curvature Estimation" by Eddie Aamari and Clément Levrard, 2019.