Raphaël Tinarrage
Postdoc at EMAp. Postdoc contact: César Camacho.
Former PhD Student at LMO Orsay (Topologie et Dynamique) and Inria (DataShape).
PhD Advisors: Frédéric Chazal and Marc Glisse.
Research
Research interests:
- Persistent homology theory
- Varifolds
- Combinatorics of simplicial complexes
- Real life applications of Topological Data Analysis
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Simplicial approximation to CW complexes in practice.
An algorithm which converts CW complexes into simplicial complexes.
Preprint.
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Arxiv link
// Video presentation
// Notebook demo
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Topological inference from measures and vector bundles.
PhD Dissertation.
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Manuscript
// Video presentation
// Slides
// Reports
Arxiv link
// Video presentation
// Notebook demo
// Notebook experiments
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Recovering the homology of immersed manifolds.
A method to estimate the tangent bundle of immersed manifolds.
Preprint.
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Arxiv link
// Notebook demo
// Video animations
Arxiv link
// Notebook demo
// Video animations
Code
My work is implemented in the velour package for Python (PyPI and GitHub).
Talks
- 8 June 2021, SoCG - Minisymposium on Computational Topology, Simplicial approximation to CW-complexes in practice (video, slides)
- 9 June 2021, EMINES, Analyse Topologique des Données II : Homologie persistante (video, slides)
- 26 May 2021, EMINES, Analyse Topologique des Données I : Invariants topologiques (video, slides)
- April 2021, FGV EMAp Seminário, Topological inference in Topological Data Analysis II: Persistence barcodes (video, slides)
- April 2021, FGV EMAp Seminário, Topological inference in Topological Data Analysis I: Topology in datasets (video, slides)
- Dec 2020, Applied Algebraic Topology Network, Persistent Stiefel-Whitney classes (video, slides)
- Dec 2020, UMPA Lyon, Modelling, Analysis and Scientific Computing, Inférence topologique avec l'homologie persistante (slides)
- Nov 2020, EPFL, Applied Topology Seminar, Persistent Stiefel-Whitney classes (video, slides)
- Oct 2020, UPSUD, PhD Defense, Topological inference from measures and vector bundles (video, slides)
- June 2020, Symposium of Computational Geometry, Recovering the homology of immersed manifolds (video, slides)
- May 2020, UPSUD, Séminaire informel, Introduction à l'homologie persistante (video, slides)
- Mar 2020, Inria Saclay, Datashape seminar, Introduction aux classes de Stiefel-Whitney (notes)
- Oct 2019, Inria Saclay, Datashape seminar, Recovering the homology of immersed manifolds (slides)
- June 2019, Symposium of Computational Geometry, DTM-based filtrations (slides)
- June 2018, IST Austria, Algebraic Topology: Methods, Computation and Science, DTM-based filtrations (poster)
Teaching
At EMAp:
At Paris-Sud University:
- 2017 - 2019, M257, TD Equations différentielles ordinaires, L2 Biologie-Chimie
- 2017 - 2020, M331, TP Inférence statistique, L3 MINT
- 2017 - 2020, M326, TD Projet modélisation et calcul scientifique, L3 MINT
Misc.
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I used to conduct the MeJ workshop
in Collège Alain Fournier (Orsay).
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See here for a gentle introduction to
persistent homology (in French).
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