Single-Variable Calculus I, Track A, Westlake University — Fall 2026
Linear Algebra I, Track A, Westlake University — Fall 2026
Differential Geometry and Differentiable Manifolds, Westlake University — Spring 2026
Distribution and Fourier Analysis, Westlake University — Spring 2026
Multivariable Calculus II, Track A, Westlake University — Spring 2026
Linear Algebra II, Track A, Westlake University — Spring 2026
Calculus I, Track A, Westlake University — Fall 2025
Undergraduate course, 80 hours / 5 credits.
Linear Algebra I, Track A, Westlake University — Fall 2025
Undergraduate course, 48 hours / 2 credits.
Linear Algebra, Track B, Westlake University — Spring 2025
Undergraduate course, 48 hours / 3 credits.
Probability and Statistics, Track B, Westlake University — Spring 2025
Undergraduate course, 48 hours / 3 credits.
Functional Analysis, Westlake University — Fall 2024
Graduate course, 48 hours / 3 credits.
Probability and Statistics, Track B, Westlake University — Fall 2024
Undergraduate course, 48 hours / 3 credits.
Linear Algebra, Track A, Westlake University — Fall 2024
Undergraduate course, 48 hours / 3 credits.
Mathematical Analysis (Exercise Sessions), Westlake University — Spring 2024
Undergraduate course, 48 hours / 3 credits.
Probability and Statistics, Track B, Westlake University — Spring 2024
Undergraduate course, 48 hours / 3 credits.
Applied Functional Analysis, SJTU — Fall 2023
Graduate course (for engineers), 48 hours / 3 credits.
Probability and Statistics, SJTU — School of Aeronautics and Astronautics — Fall 2023
Undergraduate course (for engineers), 48 hours / 3 credits.
Commutative Rings and Homological Algebra, SJTU — School of Mathematical Sciences — Spring 2023
Graduate course, 48 hours / 3 credits.
Numerical Methods for Partial Differential Equations, SJTU — Spring 2023
Graduate course (for engineers), 48 hours / 3 credits.
Probability and Statistics, SJTU — School of Aeronautics and Astronautics — Fall 2022
Undergraduate course (for engineers), 48 hours / 3 credits.
Applied Functional Analysis, SJTU — Fall 2022
Graduate course (for engineers), 48 hours / 3 credits.
Numerical Methods for Partial Differential Equations, SJTU — Spring 2022
Graduate course (for engineers), 48 hours / 3 credits.
Stochastic Methods, SJTU — Paris Elite Institute of Technology — Spring 2022
Graduate course (for engineers), 32 hours / 2 credits.
Finite Fields and Cryptography, SJTU — Paris Elite Institute of Technology — Spring 2022
Graduate course (for engineers), 32 hours / 2 credits.
Commutative Rings and Homological Algebra, SJTU — School of Mathematical Sciences — Spring 2022
Graduate course (for engineers), 48 hours / 3 credits.
Applied Functional Analysis, SJTU — Fall 2021
Graduate course (for engineers), 48 hours / 3 credits.
Elementary Number Theory, SJTU — Fall 2021
Undergraduate course (for mathematics majors), 48 hours / 3 credits.
Functional Analysis and PDE, SJTU — Paris Elite Institute of Technology — Fall 2021
Undergraduate course (for engineers), 32 hours / 2 credits.
Stochastic Methods, SJTU — Paris Elite Institute of Technology — Spring 2021
Graduate course (for engineers), 32 hours / 2 credits.
Commutative Rings and Homological Algebra, SJTU — School of Mathematical Sciences — Spring 2021
Graduate course, 48 hours / 3 credits.
Linear and Bilinear Algebra (Algèbre Linéaire et Bilinéaire), Institut Franco-Chinois de l'Université Renmin de Chine — Fall 2021
Higher Algebra (Algèbre Supérieure), Institut Franco-Chinois de l'Université Renmin de Chine — Spring 2021
Applied Functional Analysis, SJTU — Fall 2020
Graduate course (for engineers), 48 hours / 3 credits.
Commutative Rings and Homological Algebra, SJTU — School of Mathematical Sciences — Spring 2020
Graduate course, 48 hours / 3 credits.
Applied Functional Analysis, SJTU — Fall 2019
Graduate course (for engineers), 48 hours / 3 credits.
Commutative Rings and Homological Algebra, SJTU — School of Mathematical Sciences — Spring 2019
Graduate course, 48 hours / 3 credits.
Applied Functional Analysis, SJTU — Fall 2018
Graduate course (for engineers), 48 hours / 3 credits.
Commutative Rings and Homological Algebra, SJTU — School of Mathematical Sciences — Spring 2018
Graduate course, 48 hours / 3 credits.
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