My Favorite Math Books, Papers, and Videos

Here is a collection of some of my favorite math things. This is far from a complete listing (especially since I've only started recording these recently), and by no means is it meant to include all of the greatest mathematical results of all time.

Books

Spectral and Algebraic Graph Theory by Spielman (currently a draft, though still excellent).
Combinatorial Problems and Exercises by Lovasz.
The Probabilistic Method by Alon and Spencer.
Asymptopia by Florescu and Spencer
Algebraic Combinatorics by Stanley.
Enumerative Combinatorics I by Stanley.
The Cauchy-Schwarz Master Class by Steele.
Euler: Master of Us All by Dunham.

Papers and Surveys

Turan Densities for Daisies and Hypercubes by Ellis, Ivan, and Leader.
Random Cliques in Random Graphs by Riordan.
The Number of C2l-free Graphs by Morris and Saxton.
A Note on Pseudorandom Ramsey Graphs by Mubayi and Verstraete.
The Method of Hypergraph Containers by Balogh, Morris, and Samotij. See also Balogh's lecture notes on the container method.
Useful Inequalities Cheat Sheet by Kozma.
Padlock Solitaire by Wastlund.
Induced Subgraphs of Hypercubes and a Proof of the Sensitivity Conjecture by Huang.
Some delightful notes on estimates for bionmial coefficients and the regularity lemma by Das.

Videos

An emphasis for these video series are those whose material is introductory (e.g. coming from either a class or workshop). If you are aware of any other such series, feel free to let me know!

Seminars

Classes

Combinatorics

Extremal and Probabilistic Combinatoricss by Rob Morris.
Graph Theory by Luke Postle.
Extremal Combinatoricss by Jonathan Noel.
Minicourse in Finite Geometry and Ramsey Theory by Anurag Bishnoi.
Topics in Combinatorics by Timothy Gowers.
Extremal Graph Theory and Additive Combinatorics by Yufei Zhao.
Various topics in Enumerative and Algebraic Combinatorics by Federico Ardilla.
Spectral Graph Theory by Steve Butler.
Analytic Combinatorics by Robert Sedgewick (Coursera).

Other

Various topics in Theoretical Computer Science by Ryan O'Donnell.
Various topics around Algebra by Richard E. Borcherds.
Graduate Probability Theory I, II, and III by Todd Kemp.
Introduction to Topology by Marius Furter.
Topology and Geometry by Tadashi Tokieda.
Differential Geometry by Claudio Arezzo.
Discrete Differential Geometry by Keenan Crane.
Fourier Analysis by Steve Brunton.

Conferences/Workshops

PCMI Session

on Probabilistic and Extremal Combinatorics. I especially liked the courses "Intersecting Families" and "Sublinear Expander Graphs."

Pseudorandomness Bootcamp. I especially liked the miniseries "Pseudorandomness and Regularity in Graphs" and "Arithmetic Applications of Pseudorandmoness."
Additive Combinatorics Workshop.
Various topics in and around combinatorics. I particularly enjoyed Alexandru Nica's talks on free probability and Wojiech Samotij's talks on hypergraph containers.

Finally, here are some one time talks that I thoroughly enjoyed.