**Lecture notes:**

(posted class by class but to be continually updated; please let me know immediately of any problems you will have)

- Lecture 1: Discrete Gaussian Free Field & scaling limits
- Lecture 2: Maximum and intermediate values
- Lecture 3: Intermediate level sets: factorization
- Lecture 4: Intermediate level sets: nailing the limit
- Lecture 5: Gaussian comparison inequalities
- Lecture 6: Concentration for the maximum of Gaussian processes
- Lecture 7: Connection to Branching Random Walk
- Lecture 8: Tightness of the maximum
- Lecture 9: Extremal local extrema
- Lecture 10: Nailing the intensity measure
- Lecture 11: Local structure of extremal points
- Lecture 12: Random walk in DGFF landscape