Some online resources. There is no general rule on what is included here. Ones that I have actually used and can recommend are bolded.
Blogs
inordinatum - Physics and Mathematics of Disordered Systems
Percolation
Tassion - ETH Zürich Percolation Theory Autumn 2020
Duminil-Copin - Introduction to Bernoulli percolation
Note that there is another version on his IHES website, which is not the most recent version. I am not sure what he changed but I remember there was a problem where you had to prove a statement which was incorrect so maybe he changed that.
Ariel Yadin - an introduction to percolation
Brownian geometry
Grégory Miermont - Random Planar Maps
Best enjoyed with his Saint-Flour lecture notes
Some timestamps:
CVS bijection produces quadrangulations
Converse of CVS bijection - BDG bijection
Upper bound for metrics in the quadragulation
Dauvergne - The 27 geodesic networks in the directed landscape
Section 1.5 is an interesting read.
2D Discrete Statistical Physics
Chelkak - CONFORMAL INVARIANCE IN 2D STATISTICAL PHYSICS
Hao Wu - Conformal Invariance of 2D Lattice Models
Video lectures in Chinese
Schramm-Loewner Evolutions
Mads Bonde Raad’s Master’s Thesis
Kemppainen - Schramm–Loewner Evolution
For a very quick introduction to SLE. There are some gaps in the text but filling them in is a good exercise, or one can use AI. I have not been able to find the Appendix.
Berestycki & Norris - Schramm-Loewner Evolution
Note there there is an older version on Norris’s website (scroll to bottom) with example sheets.
Hang Du - Chicago REU - A GLIMPSE INTO SCHRAMM-LOEWNER EVOLUTION
Lawler - The Laplacian-b random walk and the Schramm-Loewner evolution
Interesting paper, also remarked on by Miller and Sheffield in Quantum Loewner evolutions. Another related paper is I knew I should have taken that left turn at Albuquerque by Kozma and Yadin.
Continuum GFF, LQG - 2D Random Geometry
Sheffield - 18.177 Gauge theory and random surfaces: Fall, 2017
Yuanzheng Wang - Chicago REU - NOTES ON CONFORMAL WELDING OF LIOUVILLE QUANTUM GRAVITY SURFACES
Geometric Group Theory
Anna Erschler - Poisson-Furstenberg boundaries, large-scale geometry and growth of groups
Tal Cohen & Tsachik Gelander - An Invitation to Analytic Group Theory