Student in 4th year of ENS Ulm in mathematics as well as gluer in PSI* and MP at Lycée Louis-le-Grand, and in PCSI and MP at Lycée Pierre-Gilles-de-Gennes, I put at your disposal my knowledge and my experience from my career. Course location: The courses take place by videoconference, using the Teams software. I use: - my Mac computer (microphone and webcam working) - a Samsung graphic tablet in the format of an A4 sheet allowing me to write the course that I give to the student so that he/she keeps a written record and that I send systematically at the end of the course. The videoconference format offers several advantages: - more availability for me and my student by operating remotely - no risk linked to transport (delay) - possibility to record the course and the explanations - shared folder allowing me to send interesting documents to the student in real time. Course of a lesson: The course begins with a discussion with the student to identify and prioritize the points he wishes to work on. During the session, two formats are possible: - "short lesson" for the student, rereading of his lesson, explanation of definitions and theorems, resumption of demonstrations by highlighting the most important proofs and clarifying the intuitions behind these proofs. Simple but striking examples of my invention make it possible to illustrate and reinforce the memorization of the lesson by the student; - resolution of new exercises, chosen by the student or that I suggest to him. During the time of reflection, I prepare the possible solutions and especially I observe its strong points and its difficulties in the resolution of the problem. If he has difficulties I give him indications and not the complete solution. So I avoid simply giving an answer key that the student will end up "learning by heart". If he finally wants a correction of the exercise, I take care to explain to him the whole process of the solution, even if it means repeating steps that are not clear, and I give a written record of the solution to the student. Within a course, it is of course natural to go back and forth between these two formats. At the end of the session, I discuss with him the points he can improve and make personalized suggestions. The student can ask me for exercises or send me his course documents to prepare for the next session. What I propose: - courses at all levels in mathematics, physics-chemistry and computer science; - preparation for competitions at all levels (X, ENS, Centrale, Mines-Ponts, CCINP or e3a // HEC, ESSEC, ESCP and other business schools); -preparation for the requirements of the preparation from high school ("Prépa à la Prépa" format). Preparation for the Terminale general competition (I obtained a mention there thanks to an independent preparation), for the National Mathematics Olympiads, for the Animath Cup ... I am proficient in Python, OCaml, C and SQL computer languages. Do not hesitate to contact me if you need any information!