Preprints

	Local characterization of block-decomposability for 3-parameter persistence modules V. L., J.-P. Lerch, S. Oudot arXiv preprint, 2024 [arXiv]
	Euler characteristic tools for topological data analysis O. Hacquard, V. L. arXiv preprint, 2023 [arXiv]

Publications

	Efficient computation of topological integral transforms V. L., S. Oudot, H. Passe Symposium on Experimental Algorithms (SEA), 2024 [Github] [arXiv]
	Local characterizations for decomposability of 2-parameter persistence modules M. B. Botnan, V. L., S. Oudot Algebras and Representation Theory, 2023 [journal] [arXiv]
	Hybrid transforms of constructible functions V. L. Foundations of Computational Mathematics, 2022 [journal] [arXiv]
	On rectangle-decomposable 2-parameter persistence modules M. B. Botnan, V. L., S. Oudot Discrete and Computational Geometry, 2022 initially accepted in: 36th International Symposium on Computational Geometry (SoCG 2020) [journal] [arXiv]
	Reconstruction of piecewise constant functions from x-ray data V. L. Inverse Problems, 2019 [journal] [arXiv]

Software

Eulearning O. Hacquard, V. L. Python package for the computation of Euler characteristic tools in topological data analysis [GitHub]

Distinctions

Challenge Maths-Entreprise (1st place) Reconstruction of trajectories from video detections. E. Lasalle, V. L., O. Hacquard [site] [code]

Supervisions

• Hugo Passe's Bachelor internship (ENS Lyon), co-supervised with S. Oudot
  Implementation of a Python and C++ software that computes topological and hybrid transforms on embedded cubical complexes.
  [code]

Invited talks

• Mathematics in Biology Day, 2023, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany.
  Euler characteristic in topological persistence
  [site] [talk]
• Microlocal sheaf theory and the work of Pierre Schapira, 2023, Faculty of Sciences, Lisbon, Portugal.
  Hybrid transforms of constructible functions
  [site] [talk]
• ANR Mistic days, 2023, Université Paris-Cité, France.
  Hybrid transforms for topological data analysis
  [site] [talk]
• Interactions between representation theory and topological data analysis, 2022, Center for Advanced Study, Oslo, Norway.
  Local characterizations for decomposability of two-parameter persistence modules
  [site] [talk]

Contributed talks and posters

• Applied Topology seminar, 2023, Mathematical Institute, Oxford University, United Kingdom.
  Euler characteristic in topological persistence
  [site] [talk]
• DataShape meeting, 2023, Porquerolles, France.
  Euler characteristic tools for topological data analysis
  [site] [talk]
• Geomerix team's seminar, 2023, Inria Saclay, France.
  Euler characteristic tools for topological data analysis
  [site] [talk]
• Persistence, Sheaves, and Homotopy Theory Seminar, 2023, online.
  Hybrid transforms of constructible functions
  [site] [talk]
• Monthly seminar of the Geometry and Algebra team, 2023, Ecole Normale Supérieure, Paris.
  Euler calculus
  [site] [talk]
• Annual meeting of maths department, 2022, Ecole Normale Supérieure, Paris.
  Topological integral transforms and data analysis
  [talk]
• ATMCS 10, 2022, University of Oxford, England.
  Hybrid transforms of constructible functions
  [site] [talk]
• Young Researchers Forum, CGWeek2022, Berlin, Germany.
  Euler-Fourier transform of constructible functions
  [site] [booklet] [talk]
• Computational Geometry Days, 2022, online.
  Hybrid transforms of constructible functions
  [site] [talk]
• DataShape meeting, 2022, Porquerolles, France.
  Integral transforms in persistence
  [site] [talk]
• Applied Topology Seminar, 2022, EPFL, Lausanne, Switzerland.
  Hybrid transforms of constructible functions with applications to multi-parameter persistent magnitude
  [site] [talk]
• DataShape weekly seminar, 2021, Orsay, France.
  Hybrid transforms of constructible functions
  [site] [talk]
• Symposium on Computational Geometry, CGWeek2020, ETH, Zürich, Switzerland.
  On rectangle-decomposable persistence bimodules
  [site] [talk]
• Inverse problems, PDE and geometry conference, 2018, University of Jyväskylä, Finland.
  Reconstruction of piecewise constant functions from x-ray data
  [site] [poster]

Reading groups co-organization

• Topological persistence in geometry and analysis - Part II: Persistence in symplectic geometry - Polterovitch et al., 2023, Mathematical Institute, Oxford, United Kingdom
• Topological persistence in geometry and analysis - Part I: Oscillations and bars in persistence barcodes - Polterovitch et al., 2023, Mathematical Institute, Oxford, United Kingdom
• Sheaves on Manifolds - Kashiwara, Schapira, 2021, ENS Paris, France
• Random Fields and Geometry - Adler, Taylor, 2020, ENS Paris, France