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.

Email: raphael.tinarrage[at]fgv.br
Adress: FGV EMAp, Praia de Botafogo, nº 190 - 5º Andar - Sala 514
CV
GitHub, YouTube
Google Scholar, HAL, arXiv, ORCiD, theses.fr

Research

Research interests:

Persistent homology theory
Varifolds
Combinatorics of simplicial complexes
Real life applications of Topological Data Analysis

Simplicial approximation to CW complexes in practice.
An algorithm which converts CW complexes into simplicial complexes.
Preprint.

Arxiv link // Video presentation // Notebook demo

Topological inference from measures and vector bundles.
PhD Dissertation.

Manuscript // Video presentation // Slides // Reports

Computing persistent Stiefel-Whitney classes of line bundles.
Characteristic classes in a persistent setting.
Published in Journal of Applied and Computational Topology 2021.

Arxiv link // Video presentation // Notebook demo // Notebook experiments

Recovering the homology of immersed manifolds.
A method to estimate the tangent bundle of immersed manifolds.
Preprint.

Arxiv link // Notebook demo // Video animations

DTM-based filtrations.
Robust filtrations for persistent homology.
Published in Abel Symposium 2018 and
SoCG 2019.

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:

Jan 2021, Summer course, Topological Data Analysis with Persistent Homology, L3

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.

I used to conduct the MeJ workshop
in Collège Alain Fournier (Orsay).

See here for a gentle introduction to
persistent homology (in French).