Resume
Academic Achievements
- - Books:
- - 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
- - SING: Stability-Incorporated Neighborhood Graph, SIGGRAPH Asia 2024 Conference Papers, article 130, 2024
- - 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)
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)