PhD Student at Université Paris-Sud and Inria Saclay
Team: Topologie et Dynamique and DataShape
PhD Advisors: Frédéric Chazal and Marc Glisse
- Email: raphael.tinarrage[at]inria.fr
- Adress: Office 2102, Alan Turing building, Palaiseau (Inria),
or Office 3S15, Institut de Mathématiques d'Orsay - CV
- GitHub, YouTube
Research
Research interests:- Persistent homology theory
- Varifolds
- Combinatorics of simplicial complexes
- Real life applications of Topological Data Analysis
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Topological inference from measures and vector bundles. PhD Dissertation. Currently under review. |
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Computing persistent Stiefel-Whitney classes
of line bundles. Characteristic classes in a persistent setting. Preprint. |
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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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DTM-based filtrations. Robust filtrations for persistent homology. Published in Abel Symposium 2018 and SoCG 2019. |
Teaching
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 conduct the MeJ workshop in Collège Alain Fournier (Orsay). |
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A compilation of some of my work as a student in Magistère de Mathématiques d'Orsay (in French). |
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See here for a gentle introduction to persistent homology (in French). |