Teaching | Timothy Budd

Courses

Lie Algebras in Particle Physics (3 EC)
Course catalog Lecture notes Exercises
Gravity+ club (3 EC, jointly with gravity staff)
Course catalog
Quantum mechanics 3 - Module 1 (3 EC)
Course catalog
Monte Carlo Techniques (6 EC)
Course catalog Lecture notebooks Exercise notebooks

Lie Algebras in Particle Physics (3 EC, online)
Course catalog Lectures on YouTube Lecture notes
Gravity+ seminar (3 EC, online, jointly with gravity staff)
Course catalog
Quantum mechanics 3 - Module 1 (3 EC, online)
Course catalog Lectures on YouTube Lecture notes

Lie Algebras in Particle Physics (3 EC, online)
Course catalog Lectures on YouTube Lecture notes Exercises
Quantum mechanics 3 - Module 1 (3 EC)
Course catalog

Analytic Combinatorics (4 EC)
Master’s course in the M2 program on probability and stastics at Le Département de Mathématiques d’Orsay, Université de Paris-Saclay.

Introductionto General Relativity and Black Holes Introductory lecture on black holes at the Dutch Summer School of Theoretical Physics
Website

Geometry of random planar maps and genus-0 hyperbolic surfaces In this mini-course I explained how some of the combinatorial techniques used in the study of random planar maps, i.e. embedded graphs in the sphere, have natural analogues for genus-0 hyperbolic surfaces with boundaries. In particular, this opens up the opportunity to study statistical properties of geodesic distances in hyperbolic surfaces with many boundaries or cusps sampled from the Weil-Petersson measure.
Website
Random geometry in the path integral approach to quantum gravity (together with Jan Ambjørn) This course focused on the role of random geometry models in the search for a non-perturbative description of quantum gravity. We will highlight mathematical advances in the understanding of two-dimensional toy models of quantum gravity as well as explorations in higher-dimensional models, including (causal) dynamical triangulations.
Website

Monte Carlo methods in Dynamical Triangulations
An introduction to simulation techniques in random geometry given at the Making Quantum Gravity Computable school at Perimeter Institute. Lecture slides, video recordings and the software for the tutorial sessions are available online.
Website
Peeling of random planar maps
An introduction to combinatorial and probabilistic aspects of the peeling exploration of random planar maps given at the Mini-school on Random Maps and the Gaussian Free Field at École normale supérieure de Lyon.
Lecture notes