- Persistence Theory: From Quiver Representations to Data Analysis, AMS Mathematical Surveys and Monographs, volume 209, 2015
- The Structure and Stability of Persistence Modules, Springer Briefs in Mathematics, 2016
- Analyse topologique de données, Journées mathématiques X-UPS, Éditions de l'École polytechnique, 2024
- Surveys:
- Differential Calculus and Optimization in Persistence Module Categories, ArXiv preprint 2411.00493 [AT], November 2024
- Inverse Problems in Topological Persistence, Abel Symposia, vol. 15, 2020
- Recent research projects and publications:
- T-REGS: Minimum Spanning Tree Regularization for Self-Supervised Learning, Accepted to NeurIPS 2025 as a spotlight paper
- Counts and end-curves in two-parameter persistence, ArXiv preprint 2505.13412 [AT], May 2025
- Computation of gamma-linear projected barcodes for multiparameter persistence, Journal of Applied and Computational Topology, vol. 9, number 12, 2025
- Local Characterization of Block-Decomposability for Multiparameter Persistence Modules, To appear in Homology, Homotopy and Applications
- On the bottleneck stability of rank decompositions of multi-parameter persistence modules, Advances in Mathematics, 451:109780, 2024
Research Experience
- Senior Researcher, head of the GeomeriX group, Inria
- Adjunct Professor, École Polytechnique
- Teaching:
- CSC_43042_EP -- Algorithms for data analysis in Python
- CSC_51056_EP -- Topological Data Analysis
- MPRI -- Computational Geometry and Topology
- Other teaching experiences:
- Spring School in Luxembourg (March 2018)
- Summer School in TUM (July 2016)
- Spring School in La Marsa (April 2016)
Education
Information not provided
Background
Research interests: persistence theory and its connections to homological algebra, representation theory, and sheaf theory; topological data analysis and its connections to statistics, non-smooth optimization, and machine learning; multimodal time series analysis; manifold learning, sampling and reconstruction.
Miscellany
Contact information:
- Address: Inria Saclay - Ile-de-France, Alan Turing Bldg, Office 134, 1 rue Honoré d'Estienne d'Orves, 91120 Palaiseau
- GPS: +48° 42' 52.11", +2° 12' 20.78"
- Phone: +33 174 854 216
- Email: steve.oudot[at]inria.fr
- Students:
- Théo Prosper (since 2025, co-advised with Mathieu Carrière)
- Émilien Ganier (since 2025, co-advised with Pooran Memari)
- Marceau Michel (since 2024, co-advised with Romain Billot)
- Jingyi Li (since 2023)
- Julie Mordacq (since 2022, co-advised with Vicky Kalogeiton)
- Vadim Lebovici (2020-2023, co-advised with François Petit, now Maître de Conférence at IMJ-PRG, Sorbonne University)
- Théo Lacombe (2017-2020, co-advised with Marco Cuturi, now Maître de Conférence at LIGM, Gustave Eiffel University)
- Nicolas Berkouk (2016-2020, now Data Analyst at the CNIL)
- Elchanan Solomon (2016-2019, co-advised with Jeffrey Brock, now Lead Scientist at Deep Detection)
- Jérémy Cochoy (2015-2018, now CEO at Redstone Solution OÜ)
- Mathieu Carrière (2014-2017, now Chargé de Recherche at Inria)
- Mickaël Buchet (2011-2014, co-advised with Frédéric Chazal, now Data Consultant at Polyconseil)