Preprints
- Operations on constructible functions and generalized valuations, (with A. Bernig), 2026 [arXiv]
- Topological shape transform for thymus structures, (with H. Yang, A. Tarcevski, L. Tchernev, S. Zuklys, G. A. Holländer, H. M. Byrne, H. A. Harrington), 2026 [arXiv]
Publications
Journals
-
Local characterization of block-decomposability for multiparameter persistence modules,
(with J.-P. Lerch, S. Oudot)
Homology, Homotopy and Applications, 2026 [journal] [arXiv] -
Euler characteristic tools for topological data analysis,
(with O. Hacquard)
Journal of Machine Learning Research, 2024, [journal] [arXiv] [Github] -
Local characterizations for decomposability of 2-parameter persistence modules,
(with M. B. Botnan, S. Oudot),
Algebras and Representation Theory, 2023, [journal] [arXiv] -
Hybrid transforms of constructible functions,
Foundations of Computational Mathematics, 2022, [journal] [arXiv] -
On rectangle-decomposable 2-parameter persistence modules,
(with M. B. Botnan, S. Oudot),
Discrete and Computational Geometry, 2022, [journal] [arXiv] -
Reconstruction of piecewise constant functions from x-ray data,
Inverse Problems, 2019, [journal] [arXiv]
International conferences with proceedings
-
Discrete transforms of quantized persistence diagrams,
(with M. E. Van Huffel, O. Hacquard, M. Palo)
SIAM Symposium on Algorithm Engineering and Experiments (ALENEX25), 2025, [proceedings] [arXiv] [Github] -
Efficient computation of topological integral transforms,
(with S. Oudot, H. Passe),
International Symposium on Experimental Algorithms (SEA), 2024, [proceedings] [arXiv] [Github]
Positions
2025 > Now - Associate professor (maître de conférences) at the IMJ-PRG of Sorbonne University.2024 > 2025 - FSMP Postdoc at the LAGA of Sorbonne Paris Nord University.
2023 > 2024 - Postdoctoral research fellow at the Mathematical Institute of the University of Oxford.
2020 > 2023 - PhD in Mathematics at Université Paris-Sud (Topologie & Dynamique) and Inria Saclay (DataShape) under the supervision of Steve Oudot and François Petit. You can find the manuscript here.
Distinctions
-
Challenge Maths-Entreprise (1st place),
(with E. Lasalle, O. Hacquard)
Reconstruction of trajectories from video detections, [site] [code]
Supervisions
PhD
-
Roy Nehme's PhD,
co-supervised with G. Ginot, since 2025,
Stable decomposition of multiparameter persistence modules
Bachelor/Master
-
Roy Nehme's Master's thesis (Sorbonne Paris Nord),
co-supervised with G. Ginot, 2025,
Stable decomposition of multiparameter persistence modules -
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
- French Computational Geometry Days (JGA), 2025, Roscoff Station, France
- Microlocal sheaf theory and the work of Pierre Schapira, 2023, Faculty of Sciences, Lisbon, Portugal
- Interactions between representation theory and topological data analysis, 2022, Center for Advanced Study, Oslo, Norway
Contributed talks
- TORI Workshop, 2026, Wimereux, France
- Algebraic aspects of metric and integral geometry, 2026, Bernoulli Center, Switzerland
- Symplectix, 2026, Institut Henri Poincaré, France
- Séminaire de Géométrie et Théorie des Modèles, 2025, Institut Henri Poincaré, France
- Applied Algebraic Topology Research Network, 2025, online
- Séminaire de Géométrie et Topologie, 2025, Sorbonne Université, France
- 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
- Mathematics in Biology Day, 2023, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
- DataShape meeting, 2023, Porquerolles, France
- ANR Mistic days, 2023, Université Paris-Cité, 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