Preprints

• Local characterization of block-decomposability for multiparameter persistence modules (with J.-P. Lerch, S. Oudot), 2024

Publications

• Discrete transforms of quantized persistence diagrams (with M. E. Van Huffel, O. Hacquard, M. Palo)
  accepted in SIAM Symposium on Algorithm Engineering and Experiments (ALENEX25), 2024, [arXiv] [Github]
• Euler characteristic tools for topological data analysis (with O. Hacquard)
  Journal of Machine Learning Research, 2024, [arXiv] [Github]
• Efficient computation of topological integral transforms (with S. Oudot, H. Passe),
  Symposium on Experimental Algorithms (SEA), 2024, [arXiv] [Github]
• Local characterizations for decomposability of 2-parameter persistence modules, (with M. B. Botnan, S. Oudot),
  Algebras and Representation Theory, 2023, [arXiv]
• Hybrid transforms of constructible functions,
  Foundations of Computational Mathematics, 2022, [arXiv]
• On rectangle-decomposable 2-parameter persistence modules, (with M. B. Botnan, S. Oudot),
  Discrete and Computational Geometry, 2022, [arXiv]
• Reconstruction of piecewise constant functions from x-ray data
  Inverse Problems, 2019, [arXiv]

Distinctions

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

Supervisions

• Michael van Huffel's semester project (ETH Zürich), (co-supervised with O. Hacquard), 2024,
  Discrete transforms of quantized persistence diagrams, [arXiv] [Github]
• Hugo Passe's Bachelor internship (ENS Lyon), (co-supervised with S. Oudot), 2022,
  Implementation of a Python and C++ software that computes topological and hybrid transforms on embedded cubical complexes, [arXiv] [Github]

Invited talks

• Mathematics in Biology Day, 2023, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
• Microlocal sheaf theory and the work of Pierre Schapira, 2023, Faculty of Sciences, Lisbon, Portugal
• ANR Mistic days, 2023, Université Paris-Cité, France
• Interactions between representation theory and topological data analysis, 2022, Center for Advanced Study, Oslo, Norway

Contributed talks

• Après-midi parisienne de topologie algébrique, 2024, Université Paris Cité, France
• Spires, 2024, University of Oxford, United Kingdom
• London-Oxford TDA seminar, 2024, University of Oxford, United Kingdom
• Oberseminar Geometrische Analysis, 2024, Goethe University Frankfurt, Germany
• Algebra, Topology and Geometry seminar, 2024, LJAD, Université Côte d'Azur, France
• Applied Topology seminar, 2023, Mathematical Institute, University of Oxford, United Kingdom
• DataShape meeting, 2023, Porquerolles, France
• Geomerix team's seminar, 2023, Inria Saclay, France
• Persistence, Sheaves, and Homotopy Theory Seminar, 2023, online
• Monthly seminar of the Geometry and Algebra team, 2023, Ecole Normale Supérieure, Paris
• Annual meeting of maths department, 2022, Ecole Normale Supérieure, Paris
• ATMCS 10, 2022, University of Oxford, England
• Young Researchers Forum, CGWeek2022, Berlin, Germany
• Computational Geometry Days, 2022, online
• DataShape meeting, 2022, Porquerolles, France
• Applied Topology Seminar, 2022, EPFL, Lausanne, Switzerland
• DataShape weekly seminar, 2021, Orsay, France
• Symposium on Computational Geometry, CGWeek2020, ETH, Zürich, Switzerland
• (poster) Inverse problems, PDE and geometry conference, 2018, University of Jyväskylä, Finland

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