"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 collects some of the lecture notes, tutorials, and expository articles I have written. For more informal or fragmentary explanations, please visit my blog. Some articles written in Chinese can be found on my Zhihu page (link here: 也疏寒 ) and WeChat Official Account (link here: 也疏寒).
There used to be an older version of this page where I collected some lecture notes, but I now find it overly complicated and poorly organized. In this new version, I aim to keep things clean and minimalistic. Starting this year, I plan to write more lecture notes and make most of them available as LaTeX PDFs, though some may still be handwritten.
[This page is still very incomplete and under development]
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.