You can find my CV here. Below are the classes I have taught in the last few years.
My thesis advisor was Andrei Okounkov; before coming to Hong Kong, I have made brief stops all over the world: Aarhus University and the Harvard Center of Mathematical Sciences and Applications, the University of Toronto, the École Polytechnique Fédérale de Lausanne and the Massachusetts Institute of Technology.
MATH3020, Fall Spring 2024, CUHK
Introduction to axiomatic set theory.
MATH2070 - Algebraic Structures, Fall 2023, CUHK
An introduction to groups, rings and fields.
MATH3040 - Fields and Galois Theory, Spring 2023, CUHK
The basics of Galois Theory.
MATH2070 - Algebraic Structures, Fall 2022, CUHK
An introduction to groups, rings and fields.
MATH1030D - Linear Algebra, Spring 2022, CUHK
An introduction to linear algebra, from matrices to diagonalisation.
MATH2070A - Algebraic Structures, Fall 2021, CUHK
An introduction to groups, rings and fields.
MATH1030C - Linear Algebra, Fall 2020, CUHK
An introduction to linear algebra, from matrices to diagonalisation.
MAT301 - Groups and Symmetries, Spring 2019, University of Toronto
An introduction to group theory for math majors. We cover the basic examples, such as cyclic, dihedral and symmetric groups, and flesh out the structure theory of finite and abelian groups.
MAT344 - Introduction to Combinatorics, Fall 2018, University of Toronto
An introduction to combinatorics, covering both graph theory - graph colorings, traveling salesmen and the like - and enumerative combinatorics, including the uses of binomial coefficients and generating functions.
MAT185 - Linear Algebra, Spring 2018, University of Toronto
Linear algebra for tomorrow's engineers. Vector spaces, linear operators, diagonalisation and other basic structure theory, with a smattering of applications such as markov chains and numerical solutions of differential equations.
18.708 - Topics in Algebra: Gelfand-Kapranov-Zelevinsky Hypergeometric Functions, Spring 2017, MIT
An incursion into the wonderful world of hypergeometric theory : the functions, the differential equations they satisfy and their expression as integrals.
18.024 - Calculus with Theory II, Spring 2017, MIT
The sequel to 18.014, introducing measures, smooth maps, differential forms and a few examples of manifolds.
18.014 - Calculus with Theory I, Fall 2016, MIT
Calculus for very well-prepared beginning undergraduates. Starting from the axioms defining the real numbers, we work our way through sequences and series, convergence, integration, differentiation, and Taylor expansions.
Calculus II, Fall 2012, Columbia
Integration in all its gory detail. Riemann sums, polynomial and trigonometric functions, integration by parts and by any means necessary.