I’m just doing this by hand. I’ll try to organize by topic. A * indicates that it is not for beginners, otherwise, all posts should be pretty beginner friendly (like you don’t need to have taken calculus, but it’s probably better to read the series in order).
Curve complex series
Birman and Menasco’s recent research: dead ends
Efficient geodesics in the curve complex
Homeomorphisms of the torus series
What’s a homeomorphism of the torus?
Graph Theory
Cube Complexes
Notes from Haglund’s minicourse*
Open and “open” problems
Open problem in geometric group theory
Groups
What is geometric group theory?
What is the fundamental group?
Things with the word “hyperbolic”
Proof of Scott’s Theorem for separability*
Playing with the hyperbolic plane
Connecting hyperbolic and half translation surfaces: Part I and Part II
Topology/More Geometric Group Theory
Fundamental Theorem of GGT: Part I and Part II (proof)
Guest post: torus-knotted baklava (Jeremy Kun)
Universal acylindrical actions
Miscellaneous
Higgs Bundles and Hitchin something notes*
Cantor Sets + Answer to problem
Notes from Matt Clay’s minicourse on the Guirardel core in outer space*
The Fault in Our Stars, Cantor’s Diagonalization
Baking and Math 
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