IPhT Course: Bootstrap Methods in Mathematical Physics (5 lectures)

Lecture 1: Spectral bootstrap in quantum mechanics

Lecture 2: Long-time averages in continuous dynamical systems

Lecture 3: An introduction to the conformal bootstrap

Lecture 4: Analytic extremal functionals

Lecture 5: Connection to the sphere packing problem

CERN Winter School 2022: Topics in the Bootstrap (4 lectures)

Topics covered: Bootstrap in quantum mechanics, basics of the conformal bootstrap, dispersive functionals, bounds on effective field theories in AdS.

Introduction to the Conformal Bootstrap, Caltech, July 2018

A series of 3 lectures I gave at a summer school of the Simons Bootstrap Collaboration held at Caltech in July 2018.