"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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• Intro
• Theoretical Physics
  • Conformal Field Theory
  • Quantum Field Theory
  • Quantum Information
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• Mathematics
  • Basic Category Theory
  • Hopf Algebra
  • Homological Algebra
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  • Complexity
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• Miscellanea

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