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

Eventually Almost Everywhere

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

Uncategorised

ICMS - Sandpiles and Tropical Geometry