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Raphaël LECOQ

Projects

Most of my projects are written in French, please contact me for any information about them.

2025-2026

This part is subject to change depending on the timeflow of existence.

Gap year internship at SPTEIT Shanghai Jiao Tong University - China

November 2025-April 2026

Supervised by: Helin GONG and Yvon MADAY.

Project to be defined on AI, Reduced Basis and Data Assimilation


Coming not really soon.

MSc 2nd year internship at CEA Saclay - France

April-September 2025

Supervised by: Erell JAMELOT and Andrew PEITAVY.

Discontinuous Galerkin Method and "a posteriori" estimators

2024

1st year MSc internship at the BioRobotics Institute of the Scuola Superiore Sant'Anna - Pisa, Italy

May-August

Supervised by: Giovanni STABILE

Project ERC StG DANTE - Data Aware efficient models of the urban microclimate.

Study of an a posteriori error estimator for Reduced Order Models of Finite Volume Methods in CFD


I proposed a weak formulation of Finite Volume Method (FVM) to make use of an a posteriori error estimator of Reduced Order Models (ROM) defined in the framework of Finite Element Method (FEM).

Internship report.

I also created a research diary, longer than the report, in which I wrote all my ideas, addition material and demonstrations and our detailed methodology:

Research diary.

1st year MSc Statistics Lecture group

February

Supervised by: Magalie FROMONT


Research project and presentation of results in a lecture format in collaboration with Rachelle RUELLE on approximation spaces for deep neural networks.

2023

1st year MSc Analysis Lecture group

December

Supervised by: Rémi Carles


Research project and presentation of results in a lecture format in collaboration with Maxence MICHOT on general solutions of the Schrödinger equation.

Bachelor's internship at the Laboratoire de Physique Théorique et Modèles Statistiques - Saclay, France

May-July

Internship supervisor: Alberto ROSSO

Numerical analysis of branching processes


Modeling and statistical analysis of critical branching processes such as Lévy flights and Brownian motion and their clustering statistics in the neutronic and avalanche cases.

Internship report.

Oral support.

3rd year Bachelor research project

January-April

Supervised by: Hugo Eulry

Classical methods for solving linear and non-linear partial differential equations


Research project in collaboration with Dimitry BERGEAULT on classical methods for solving partial differential equations. We gathered knowledge through reading articles and books, constructed Sobolev spaces, several representation theorems (Lax-Milgram, Riesz, ...) and solved classical equations.

Written report.

Oral support.

2019-2022

TIPE (Supervised Personal Initiative Work) - CPGE Lycée Descartes

2021-2022

Supervised by: Pascal TONNELIER, MP* mathematics professor

Generation of virtual data through Generative Adversarial Networks


Project in collaboration with Junior ROGNON.

Partial proof of the correction of generative adversarial network (GAN) algorithms with Lebesgue Measure Theory and application to medical data of breast cancer.

ENS written report.

Oral support.

Demonstration sheet.

Code.

TIPE (Supervised Personal Initiative Work) - CPGE Lycée Descartes

2019-2021

Supervised by: Marie HEZARD and Pascal TONNELIER, MPSI and MP* mathematics professors

Optimisation of a warehouse layout


Numerical optimization of a set of rectangles in a limited space. The goal was to calculate the best arrangement and try different methods to obtain reliable results in a short amount of time.

Oral support for the entrance exam with code attached.

Email: raphael.lecoq [at] ens-rennes.fr

Updated: April 2025

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Version en français