Raphaël Tinarrage

PhD Student at Université Paris-Sud and Inria Saclay
Team: Topologie et Dynamique and DataShape
PhD Advisors: Frédéric Chazal and Marc Glisse


Research

Research interests:
Topological inference from measures and vector bundles.
PhD Dissertation.

Currently under review.


Computing persistent Stiefel-Whitney classes of line bundles.
Characteristic classes in a persistent setting.
Preprint.
Arxiv link // Notebook demo
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

Teaching

At Paris-Sud University:

Misc.

I conduct the MeJ workshop
in Collège Alain Fournier (Orsay).
A compilation of some of my work as a student
in Magistère de Mathématiques d'Orsay (in French).
See here for a gentle introduction to
persistent homology (in French).