Welcome to my lecture notes page!

Zhian Jia

"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 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]

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.