Ian Jauslin
Statistical mechanics is the study of macroscopic observables from a microscopic point of view. In this course, we will first discuss the foundations of equilibrium statistical mechanics, and define the relevant mathematical concepts used in the field. We will then put these to good use by studying a variety of systems and phenomena.
Statistical Mechanics of Lattice Systems: a Concrete Mathematical Introduction, by Friedli and Velenik (freely available on https://www.unige.ch/math/folks/velenik/smbook/)
Basics in probability theory and analysis