Random Surfaces - Fall 2025
Random Surfaces
This course will be about random surfaces. You should take it!!
Relevant Books and Survey Type Articles
General Notion of a Random Surface
- Gaussian free field and Liouville quantum gravity - recent book by Nathaniel Berestycki and Ellen Powell
- Liouville quantum gravity as a metric space and a scaling limit - ICM survey article by Jason Miller
- What is a random surface? - ICM survey article by Scott Sheffield, with accompanying slides and YouTube video
- Random Surfaces and Liouville Quantum Gravity - survey article by Ewain Gwynne from the Notices of the American Mathematical Society
- Quanta Magazine article on Random Surfaces - tells the story of a specific random surface result by Bernardi, Curien, and Miermont
Gaussian Multiplicative Chaos
- Gaussian multiplicative chaos and applications: a review - review article by Remi Rhodes and Vincent Vargas