Welcome to my lecture notes page!

"The best way to learn a new topic is to write a book about it."
— Paraphrase from Serge Lang, See "Serge Lang, 1927-2005".

"Beautiful mathematics eventually tends to be useful,and useful mathematics eventually tends to be beautiful."
Carl D. Meyer, Chapter 8: Perron Frobenius Theory of Nonnegative Matrices, Matrix Analysis and Applied Linear Algebra.


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This page will collect some of the lecture notes, tutorials, and expository articles that I write, more can be find on my blog.

There is an older version of this page where I collected some lecture notes. However, I regret making it too complicated and poorly organized. In this new version, I aim to keep it clean and minimalistic. Starting this year, I will try to write more lecture notes. I hope to make most of them available as LaTeX PDFs, though some may still be handwritten.

List of courses and lecture notes

String Theory

Basic String Theory

A course on basics of string theory.

Conformal Field Theory

Conformal Field Theory

A course on conformal field theory.

General Relativity

General Relativity

A course on general relativity.

Homological Algebra

Homological Algebra

A course on homological algebra.

Quantum Information

Quantum Computation Theory

A course on quantum computation.

Quantum Information

Quantum Field Theory

A course on quantum field theory.

Quantum Information

Quantum Information Theory

A course on quantum information.

Quantum Mechanics

Quantum Mechanics

A course on quantum mechanics.

Beautiful mathematics eventually tends to be useful, and useful mathematics eventually tends to be beautiful.