Registration Deadline: January 24, 2027

Instructor: Professor Benjamin Landon, University of Toronto

Course Dates: January 12 - April 8, 2027
Mid-Semester Break: February 15-19, 2027
Lecture Time: Tuesdays & Thursdays | 4:00 PM - 5:30 PM (ET)
Tutorials: TBD (there will be some tutorials throughout the term)
Office Hours: TBD

Registration Fee:

• Students from our Principal Sponsoring & Affiliate Universities: Free
• Other Students: CAD$500

Capacity Limit: 40 students (Please ask for the instructor's approval first if you would like to audit the course.)

Format: Hybrid

• In-Person: Bahen Centre 6183, University of Toronto
• Online: via Zoom

Course Description

A rigorous introduction to the statistical mechanics of spin systems on the lattice, such as the Ising and O(N) models. Phase transitions, high temperature and low temperature expansions. Behaviour at the critical point. Correlation inequalities. Triviality in high dimensions. Textbook: S. Friedli. and Y. Velenik, Statistical Mechanics of Lattice Systems: a Concrete Mathematical Introduction, and other references to be given as course develops.

Prerequisites: Graduate measure-theoretic probability.

Course Expectations: Attendance and participation in lectures are expected. About 6 homework assignments and 1 presentation. Auditing at instructor's discretion.

Evaluation Method: Homework assignments and a presentation.

Textbooks:

• S. Friedli. and Y. Velenik, Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction.
• Roland Bauerschmidt's lecture notes on spin systems.