Most of my projects are written in French, please contact me for any information about them.
May-August
Internship supervisor: Giovanni STABILE
Project ERC StG DANTE - Data Aware efficient models of the urban microclimate.
Study and implementation of an a posteriori error estimator for Reduced Order Models of Finite Volume Methods in CFD.
I used 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).
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:
February
Supervisor: Magalie FROMONT
Research project and presentation of results in a lecture format in collaboration with Rachelle RUELLE on approximation spaces for deep neural networks.
December
Supervisor: Rémi Carles
Research project and presentation of results in a lecture format in collaboration with Maxence MICHOT on general solutions of the Schrödinger equation.
May-July
Internship supervisor: Alberto ROSSO
Modeling and statistical analysis of critical branching processes such as Lévy flights and Brownian motion.
January-April
Supervisor: Hugo Eulry
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.
Supervisor: Pascal TONNELIER, mathematics professor at CPGE Lycée Descartes MP*
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.
Here is my written report for the ENS entrance exam.
Here is my oral presentation support used for the ENS and Mines Ponts/Centrales entrance exams.
Here is my demonstration sheet for our results and the correction of algorithms.
Supervisors: Marie HEZARD and Pascal TONNELIER, mathematics professors at CPGE Lycée Descartes MPSI and MP*
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 time.
Email: raphael.lecoq [at] ens-rennes.fr
Updated: June 2024