Teaching

Lecture Notes

2025−2026

  1. Algèbre (2025−2026)

    Institution
    Université Paris Cité.
    Cursus
    M1 Mathématiques-Informatique Cryptographie (S1).
    Responsibilities
    Lectures: 24h. Exercise sessions: 33h.
    Notes
    Notes.
    TD
    TD.
    CC1 (corrigé)
    CC1 (corrigé).

2024−2025

  1. Algèbre (2024−2025)

    Institution
    Université Paris Cité.
    Cursus
    M1 Mathématiques-Informatique Cryptographie (S1).
    Responsibilities
    Lectures: 24h.
    Notes
    Notes.
    TD1
    TD1.
    CC1 (corrigé)
    CC1 (corrigé).
    CC2 (corrigé)
    CC2 (corrigé).
    Exam (corrigé)
    Exam (corrigé).

  2. Algèbre et Analyse Fondamentales II (2024−2025)

    Institution
    Université Paris Cité.
    Cursus
    L2 MIASHS (S2).
    Responsibilities
    Exercise sessions: 54h.

  3. Analyse élémentaire I (2024−2025)

    Institution
    Université Paris Cité.
    Cursus
    L1 Informatique (S1).
    Responsibilities
    Exercise sessions: 22.5h. Lectures: 22.5h.

  4. Introduction à la théorie des graphes (2024−2025)

    Institution
    Université Paris Cité.
    Cursus
    Accueil de stagiaires de seconde.
    Responsibilities
    Lectures: 6h.
    Notes
    Notes.

  5. Algebraic Topology (2024−2025)

    Institution
    School of Mathematical Sciences, University of Chinese Academy of Sciences.
    Cursus
    Summer school.
    Responsibilities
    Lectures: 24h.
    Notes
    Notes.
    Exercises
    Exercises.

2023−2024

  1. Algèbre (2023−2024)

    Institution
    Université Paris Cité.
    Cursus
    M1 Mathématiques-Informatique Cryptographie (S1).
    Responsibilities
    Lectures: 24h.
    Notes
    Notes.
    TD
    TD.
    CC1 (corrigé)
    CC1 (corrigé).
    CC2 (corrigé)
    CC2 (corrigé).
    Exam (corrigé)
    Exam (corrigé).

  2. Géométrie affine et euclidienne 5 (2023−2024)

    Institution
    Université Paris Cité.
    Cursus
    L3 Maths (S1).
    Responsibilities
    Exercise sessions: 18h.

  3. Algèbre et Analyse Fondamentales II (2023−2024)

    Institution
    Université Paris Cité.
    Cursus
    L2 MIASHS (S2).
    Responsibilities
    Exercise sessions: 54h.

  4. Raisonnement Mathématique 2 (2023−2024)

    Institution
    Université Paris Cité.
    Cursus
    L1 MIASHS (S2).
    Responsibilities
    Lectures: 12h. Exercise sessions: 18h. Organization: 5h.
    Notes
    Notes.
    TD
    TD.
    CC1 (corrigé)
    CC1 (corrigé).
    Examen (corrigé)
    Examen (corrigé).
    Rattrapage (corrigé)
    Rattrapage (corrigé).

  5. Introduction à la théorie des graphes (2023−2024)

    Institution
    Université Paris Cité.
    Cursus
    Accueil de stagiaires de seconde.
    Responsibilities
    Lectures: 3h.
    Notes
    Notes.

  6. Algebraic Topology (2023−2024)

    Institution
    School of Mathematical Sciences, University of Chinese Academy of Sciences.
    Cursus
    Summer school.
    Responsibilities
    Lectures: 24h.
    Notes
    Notes.
    Exercises
    Exercises.

2022−2023

  1. Outils Bureautiques et Internet (2022−2023)

    Institution
    Université Paris Cité.
    Cursus
    L1 Maths (S2).
    Responsibilities
    Practical work: 12h.

  2. Raisonnement Mathématique 2 (2022−2023)

    Institution
    Université Paris Cité.
    Cursus
    L1 MIASHS (S2).
    Responsibilities
    Lectures: 12h. Exercise sessions: 18h. Organization: 5h.
    Notes
    Notes.

  3. Configurations spaces, algebraic topology and operads (2022−2023)

    Institution
    Universidad Nacional de la Patagonia San Juan Bosco (Puerto Madryn, Argentina).
    Cursus
    2023 CIMPA Research School “Crossroads of geometry, representation theory and higher structures”.
    Responsibilities
    Lectures: 4.5h.
    Event page
    Event page.
    Course Plan
    Course Plan.
    Tutorials
    Tutorials.

2021−2022

  1. Algorithmes et Programmation 3 (2021−2022)

    Institution
    Université Paris Cité.
    Cursus
    L2 (S1).
    Responsibilities
    Exercise sessions: 18h. Practical work: 24h.
    Video
    Video.
    Source
    Source.

  2. Géométrie affine et euclidienne 5 (2021−2022)

    Institution
    Université Paris Cité.
    Cursus
    L3 Maths (S1).
    Responsibilities
    Exercise sessions: 18h.

  3. Homotopy II (2021−2022)

    Institution
    Université Paris Cité.
    Cursus
    M2 Fundamental Mathematics (S2).
    Responsibilities
    Lectures: 24h.
    Notes
    Notes.
    Homework
    Homework.
    Homework w/ solution
    Homework w/ solution.
    Exam FR
    Exam FR.
    Exam EN
    Exam EN.
    Partial solution
    Partial solution.

  4. Mathématiques élémentaires 1 (2021−2022)

    Institution
    Université Paris Cité.
    Cursus
    L1 Physique (S2).
    Responsibilities
    Exercise sessions: 54h.

  5. Raisonnement Mathématique 2 (2021−2022)

    Institution
    Université Paris Cité.
    Cursus
    L1 MIASHS (S2).
    Responsibilities
    Lectures: 12h. Exercise sessions: 18h. Organization: 5h.
    Notes
    Notes.
    CC1 corrigé
    CC1 corrigé.
    CC2 corrigé
    CC2 corrigé.
    CC3 corrigé
    CC3 corrigé.
    CC4 corrigé
    CC4 corrigé.

2020−2021

  1. Préparation aux oraux (2020−2021)

    Institution
    Université Paris Cité.
    Cursus
    Agrégation interne.
    Responsibilities
    Oral exams: 2.5h.

  2. Algorithmes et Programmation 3 (2020−2021)

    Institution
    Université Paris Cité.
    Cursus
    L2 Maths (S1).
    Responsibilities
    Exercise sessions: 18h. Practical work: 24h.
    Video
    Video.

  3. Homotopy II (2020−2021)

    Institution
    Université Paris Cité.
    Cursus
    M2 Fundamental Mathematics (S2).
    Responsibilities
    Lectures: 24h.
    Video
    Video.
    Notes
    Notes.
    Solved homework
    Solved homework.
    Exam EN
    Exam EN.
    Exam FR
    Exam FR.
    Solved exam FR
    Solved exam FR.

  4. Algèbre et Analyse élémentaires 2 (2020−2021)

    Institution
    Université Paris Cité.
    Cursus
    L1 Chimie (S2).
    Responsibilities
    Exercise sessions: 36h.

  5. Algèbre et Analyse élémentaires 1 & Raisonnement Mathématique 1 (2020−2021)

    Institution
    Université Paris Cité.
    Cursus
    L1 Maths (S1).
    Responsibilities
    Lectures: 22.6h. Exercise sessions: 22.6h.
    Video
    Video.
    Notes
    Notes.

2019−2020

  1. Algorithmes et Programmation 3 (2019−2020)

    Institution
    Université Paris Cité.
    Cursus
    L2 Maths (S1).
    Responsibilities
    Exercise sessions: 18h. Practical work: 24h.

  2. Introduction to Homotopy Theory (2019−2020)

    Institution
    Université Paris Cité.
    Cursus
    M2 Fundamental Mathematics (S2).
    Responsibilities
    Lectures: 24h.
    Notes
    Notes.
    Exam
    Exam.
    Solved exam
    Solved exam.

  3. Algèbre et Analyse élémentaires 2 (2019−2020)

    Institution
    Université Paris Cité.
    Cursus
    L1 Chimie (S2).
    Responsibilities
    Exercise sessions: 36h.

  4. Algèbre et Analyse élémentaires 1 & Raisonnement Mathématique 1 (2019−2020)

    Institution
    Université Paris Cité.
    Cursus
    L1 Maths (S1).
    Responsibilities
    Lectures: 22.6h. Exercise sessions: 22.6h.
    Notes
    Notes.

  5. Real homotopy of configuration spaces (2019−2020)

    Institution
    Collège de France.
    Cursus
    Cours Peccot [Peccot Lecture].
    Responsibilities
    Lectures: 8h.
    Video
    Video.
    Website of the Peccot Lectures
    Website of the Peccot Lectures.
    News @ ULille
    News @ ULille.
    Old version of the notes, in French
    Old version of the notes, in French.

2018−2019

  1. Algèbre et analyse élémentaires 2 (2018−2019)

    Institution
    Université Paris Cité.
    Cursus
    L1 Chimie (S2).
    Responsibilities
    Exercise sessions: 36h.

  2. Algèbre et analyse élémentaires 1 (2018−2019)

    Institution
    Université Paris Cité.
    Cursus
    L1 MIASHS (S1).
    Responsibilities
    Lectures: 36h. Exercise sessions: 36h.
    Notes
    Notes.

2017−2018

  1. Analyse 1 (2017−2018)

    Institution
    Université de Lille.
    Cursus
    L1 MASS (S1).
    Responsibilities
    Exercise sessions: 36h.

  2. Mathématiques fondamentales 1 (2017−2018)

    Institution
    Université de Lille.
    Cursus
    L1 SESI (S1).
    Responsibilities
    Oral exams: 18h. Tutoring: 18h.

2016−2017

  1. Analyse 1 (2016−2017)

    Institution
    Université de Lille.
    Cursus
    L1 MASS (S2).
    Responsibilities
    Exercise sessions: 15h.

  2. Analyse 1 (2016−2017)

    Institution
    Université de Lille.
    Cursus
    L1 SESI (S1).
    Responsibilities
    Exercise sessions: 15h.

  3. Calcul matriciel (2016−2017)

    Institution
    Université de Lille.
    Cursus
    L2 MASS (S2).
    Responsibilities
    Exercise sessions: 36h.

2015−2016

  1. Mathématiques fondamentales 2 (2015−2016)

    Institution
    Université de Lille.
    Cursus
    L1 SESI (S2).
    Responsibilities
    Exercise sessions: 66h.