Calculus A — Undergraduate course | Fall 2025, Reference: Calculus I, Tom Apostol.
Linear Algebra A — Undergraduate course | Fall 2025, Reference: Linear algebra, Serge Lang
Linear Algebra B — Undergraduate course | Spring 2025, Reference: Linear algebra, Serge Lang
Probability and Statistics B — Undergraduate course | Spring 2025, Reference: Probability and Statistics, Werner Linde.
Functional Analysis — Graduate course | Fall 2025,
Probability and Statistics B — Undergraduate course | Fall 2025, Reference: Probability and Statistics, Werner Linde.
Linear Algebra A — Undergraduate course | Fall 2025, Reference: Linear algebra, Serge Lang
Mathematical Analysis (exercise sessions) — Undergraduate course | Spring 2024
Probability and Statistics B — Undergraduate course | Spring 2024, Reference: Probability and Statistics, Werner Linde.
Applied Functional Analysis — Graduate course (for engineers) | Fall 2023 Main references: Functional Analysis, by Walter Rudin, and Real and Functional Analysis by Serge Lang
Probability and Statistics — Undergraduate course (for engineers) | Fall 2023
Commutative Rings and Homological Algebra — Graduate course | Spring 2023 Main reference: Commutative ring theory, by Hideyuki Matsumura.
Numerical Methods for Partial Differential Equations — Graduate course (for engineers) | Spring 2023
Probability and Statistics — Undergraduate course (for engineers) | Fall 2022
Applied Functional Analysis — Graduate course (for engineers) | Fall 2022 Main references: Functional Analysis, by Walter Rudin, and Real and Functional Analysis by Serge Lang
Numerical Methods for Partial Differential Equations — Graduate course (for engineers) | Spring 2022
Stochastic Methods — Graduate course (for engineers) | Spring 2022
Finite Fields and Cryptography — Graduate course (for engineers) | Spring 2022
Commutative Rings and Homological Algebra — Graduate course | Spring 2022 Main reference: Commutative ring theory, by Hideyuki Matsumura.
Applied Functional Analysis — Graduate course (for engineers) | Fall 2021 Main references: Functional Analysis, by Walter Rudin, and Real and Functional Analysis by Serge Lang
Elementary Number Theory — Undergraduate course (for math majors) | Fall 2021 An Introduction to the Theory of Numbers Sixth Edition by Hardy & Wright.
Functional Analysis and PDE — Undergraduate course (for engineers) | Fall 2021 Reference: Numerical analysis and optimization, An introduction to mathematical modeling and numerical simulation by Gregoire Allaire.
Stochastic Methods — Graduate course (for engineers) | Spring 2021 References: Stochastic Calculus And Financial Applications by Steele; Brownian Motion And Stochastic Calculus by Karatzas-Shreve (Springer).
Commutative Rings and Homological Algebra — Graduate course | Spring 2021 Main reference: Commutative ring theory, by Hideyuki Matsumura.
Applied Functional Analysis — Graduate course (for engineers) | Fall 2020 Main references: Functional Analysis, by Walter Rudin, and Real and Functional Analysis by Serge Lang
Commutative Rings and Homological Algebra — Graduate course | Spring 2020 Main reference: Commutative ring theory, by Hideyuki Matsumura.
Applied Functional Analysis — Graduate course (for engineers) | Fall 2019 Main references: Functional Analysis, by Walter Rudin, and Real and Functional Analysis by Serge Lang
Commutative Rings and Homological Algebra — Graduate course | Spring 2019
Applied Functional Analysis — Graduate course (for engineers) | Fall 2018 Main references: Functional Analysis, by Walter Rudin, and Real and Functional Analysis by Serge Lang
Commutative Rings and Homological Algebra — Graduate course | Spring 2018 Main reference: Commutative ring theory, by Hideyuki Matsumura.
Stochastic Methods — Graduate course (for engineers) | Spring 2022 References: Stochastic Calculus And Financial Applications by Steele; Brownian Motion And Stochastic Calculus by Karatzas-Shreve (Springer).
Finite Fields and Cryptography — Graduate course (for engineers) | Spring 2022
Stochastic Methods — Graduate course (for engineers) | Spring 2021 References: Stochastic Calculus And Financial Applications by Steele; Brownian Motion And Stochastic Calculus by Karatzas-Shreve (Springer).
Linear and Bilinear Algebra (Algèbre linéaire et bilinéaire) — Undergraduate course | Fall 2021
Higher Algebra (Algèbre supérieure) — Undergraduate course | Spring 2021
Notes on Minimal Model Program
An overview of the theory of (additive/abelian/..) categories (Sur quelques points d'Algebre Homologique, A. Grothendieck. Tohoku).
Derived functors (Tohoku)
Presheaves and sheaves with values in a category. Direct and inverse image (EGA1).
Ringed spaces (EGA1).
Quasi-coherent and coherent sheaves (EGA1).
Affine schemes, schemes (EGA1).
Affine morphisms and Vector bundles (EGA2).
Projective schemes.
Grothendieck topologies-1.
Constructible sets and construcible functions. A review of theory of Categories
The Quasi-coherent sheaves on the Proj of a graded ring.
Vector bundles and locally free sheaves. Henselian rings.
Lectures on Distributions and Fourier Analysis (2025).
Some Lecture Notes:
Lecture notes on Commutative Rings and Homological Algebra:
Lecture notes on Commutative Rings and Homological Algebra
Lecture notes on Functional Analysis (These notes were intended for engineering students, so they are less rigorous.)
Notes: Lecture notes on Functional Analysis
Lecture notes on Probability and Statistics (These notes are intended for students who are not majoring in mathematics.)
Notes : Lecture notes on Probability and Statistics