Here is an arbitrary list of helpful online resources that I am collecting, mostly for my own benefit, listed in no specific order.
Introduction to Random Graphs
textbook by Alan Frieze and Michal KarońskiLecture Notes on Entropy and Markov Chains
by Pietro Caputo (Roma Tre)Lecture Notes on Spectral Independence
by Daniel Štefankovič (University of Rochester) and Eric Vigoda (UCSB)Eigenvalues and Polynomials
lecture notes by Lap Chi Lau (@ University of Waterloo)Lecture Notes on Expanders and HDX
lecture notes by Max Hopkins and Shachar Lovett (@ UCSD)Analysis of Boolean Functions
textbook by Ryan O'DonnellExpander Graphs and Their Applications
survey by Sholmo Hoory, Nathan Linial, and Avi WigdersonSurviving as a Quantum Computer in a Classical World
textbook by Daniel GottesmanThe Theory of Quantum Information
textbook by John WatrousLecture Notes on Quantum Computation
lecture notes by John Preskill (@ Caltech)Quantum Information Science
lecture notes by Aram Harrow (@ MIT)Essential Coding Theory
textbook by Venkatesan Guruswami, Atri Rudra, Madhu SudanComputational Complexity: A Modern Approach
textbook by Sanjeev Arora and Boaz BarakPseudorandomness
survey/monograph by Salil VadhanHigh Dimensional Probability
textbook by Roman VershyninLecture Notes on the Sum of Squares Hierarchy
lecture notes by Boaz Barak (@ MIT)Log-Concave Sampling
textbook by Sinho ChewiAn Introduction to Matrix Concentration Inequalities
textbook by Joel TroppEntropy Optimality
lecture notes by James Lee (@ University of Washington)Convex Optimization: Algorithms and Complexity
monograph by Sébastien BubeckConvex Optimization
textbook by Stephen Boyd and Lieven VanderbergheAn Introduction to Modern Convex Geometry
notes by Keith BallAlgorithmic Convex Geometry
notes/book by Santosh VempalaMathematical Aspects of Markov Chains and Mixing Times
monograph by Ravi Montenegro and Prasad TetaliProbability on Trees and Networks
textbook by Russel Lyons and Yuval PeresReversible Markov Chains and Random Walks on Graphs
unfinished monograph by David Aldous and James Allen FillMarkov Chains and Mixing Times
textbook by David Levin, Yuval Peres, and Elizabeth WilmerTen Lectures and Forty-Two Open Problems in the Mathematics of Data Science
lecture notes by Afonso BandeiraMusic: a Mathematical Offering
textbook by David BensonLiving Proof: Stories of Resilience Along the Mathematical Journey
collection of essays edited by Allison K. Henrich, Emille D. Lawrence, Matthew A. Pons, and David G. Taylor