Steve Oudot

Directeur de Recherche (Senior Researcher), head of the GeomeriX group, Inria
Professeur Chargé de Cours (Adjunct Professor), École Polytechnique


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] (public key)

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


  • Jingyi Li (since 2023)
  • Julie Mordacq (since 2022)
  • Vadim Lebovici (2020-2023, co-advised with François Petit, now postdoc in the Mathematics Department at Oxford University)
  • Théo Lacombe (2017-2020, co-advised with Marco Cuturi, now Maître de Conférence at LIGM, Université Gustave Eiffel)
  • Nicolas Berkouk (2016-2020, now Postdoc at EPFL)
  • Elchanan Solomon (2016-2019, co-advised with Jeffrey Brock, now Research Assistant Professor at Duke University)
  • Jérémy Cochoy (2015-2018, now CTO at Symphonia)
  • Mathieu Carrière (2014-2017, now Research Scientist at Inria)
  • Mickaël Buchet (2011-2014, co-advised with Frédéric Chazal, now University Assistant at T.U. Graz)


Steve Oudot. Persistence Theory: From Quiver Representations to Data Analysis. AMS Mathematical Surveys and Monographs, volume 209, 2015. [comments and corrections]

Note: you can download a watermarked pdf of the book (see pdf icon to the right). For copyright information and terms of use, see the terms page on the AMS website.
F. Chazal, V. de Silva, M. Glisse, S. Oudot. The Structure and Stability of Persistence Modules. Springer Briefs in Mathematics, 2016.


Steve Oudot and Elchanan Solomon. Inverse Problems in Topological Persistence. Abel Symposia, vol. 15, 2020.

Recent research projects and publications (click here for a comprehensive list)

David Loiseaux, Luis Scoccola, Mathieu Carrière, Magnus Botnan and Steve Oudot. Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures. Proc. 37th Conference on Neural Information Processing Systems (NeurIPS), 2023.
Magnus Botnan, Steffen Oppermann, Steve Oudot and Luis Scoccola. On the bottleneck stability of rank decompositions of multi-parameter persistence modules. ArXiv preprint 2208.00300 [AT], July 2022.
Steve Oudot and Luis Scoccola. On the stability of multigraded Betti numbers and Hilbert functions. SIAM Journal on Applied Algebra and Geometry, 8(1):54--88, 2024.
Magnus Botnan, Vadim Lebovici and Steve Oudot. Local characterizations for decomposability of 2-parameter persistence modules. Algebras and Representation Theory, February 2023.
Jacob Leygonie, Mathieu Carrière, Théo Lacombe and Steve Oudot. A Gradient Sampling Algorithm for Stratified Maps with Applications to Topological Data Analysis. Mathematical Programming, 202:199--239, 2023.
Magnus Botnan, Steffen Oppermann and Steve Oudot. Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions. ArXiv preprint 2107.06800 [AT], July 2021. A short version appeared in Proc. Symposium on Computational Geometry, 2022.


École polytechnique:
  • INF 442 -- Algorithms for data analysis in C++
  • INF 556 -- Topological Data Analysis
  • MPRI -- Computational Geometry and Topology
  • Spring School in Luxembourg (March 2018): link
  • Summer School in TUM (July 2016): link
  • Spring School in La Marsa (April 2016): link