"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.
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.
A course on basics of string theory.
A course on conformal field theory.
A course on general relativity.
A course on homological algebra.
A course on quantum computation.
A course on quantum field theory.
A course on quantum information.
A course on quantum mechanics.