The Les Houches School Quantum Geometry (Mathematical Methods for Gravity, Gauge Theories and Non-Perturbative Physics) will bring together world-leading experts in theoretical physics. It will offer introductory courses, covering topics such as quantum gravity, gauge theories, and non-perturbative physics. These courses will place a significant emphasis on methods in mathematical physics, including random matrix theory, topological recursion, resurgence, and moduli spaces. Joining this event will provide an unparalleled opportunity to explore these cutting-edge subjects and to connect with numerous colleagues and experts in a stunning environment.