Some references to learn some interesting topics

Introduction to Percolation Theory

Prof. Hugo Duminil-Copin, IHES & U-Geneva

A gateway to the mathematical world of the phenomenon of percolation and critical phenomena.

Algebraic Topology

Prof. Allen Hatcher, Cornell University

If you want to learn the algebraic side of topology — Homotopy, Homology, Cohomology, etc. — this is the book to go to. You may also follow this lecture series by Prof. Pierre Albin at UIUC alongside.

Stochastic Calculus

Prof. G. F. Lawler, UChicago

An Introduction to Measure Theory

Prof. Terence Tao, UCLA

Lectures on Conformal Field Theory

Prof. Joshua D. Qualls, National Taiwan University

A comprehensive guide to learning CFT.

Random Quantum Circuits

M.P.A. Fisher, V. Khemani, A. Nahum, S. Vijay

What happens when you apply random unitary gates to qubits and do random measurements? This has become a booming field of research, escalated by some breakthrough papers. Also see this Quanta Magazine article on the story behind this development.

Machine Learning

Prof. Tom Mitchell, CMU

Also recommended: the video lectures by Prof. Andrew Ng at Stanford.

Quantum Information Meets Quantum Matter

An introductory overview of quantum information theory, tensor networks, topological order, entanglement, and more.

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