Lectures: Ben Allanach

NSTIA Mathematical Methods III (A course): 2024-

A first-year course on matrices, vectors and Fourier series for scientists. Enrolled students can see the moodle page for the course.

Supersymmetry 2024-date

This is a part III course in the Cambridge mathematical tripos. Please advise me of any mistakes etc by email.

moodle page for enrolled students
Video Lecture: [ 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 ]
Videos of Fernando Quevedo's excellent SUSY lectures, including ones on extra dimensions here.
BUSSTEPP lectures, including a SOFTSUSY tutorial

Symmetries, Particles and Fields 2020-2021

A Part III (Master's) level course in Michaelmas term. It covers Lie algebras and groups with applications to particle physics and field theories. The lectures are available on youtube and the course textbook, with expanded explanations and additional algebra can be found here.

Dynamics and Relativity (IA) 2022-2023

A first year course mathematical tripos course. We will use the excellent notes by David Tong.

NSTIA Mathematical Methods III (Course B): 2016-2021

A first year course for mathematically minded scientists covering linear algebra, vector spaces and partial differential equations.

Quantum Field Theory: 2016-2020

A part III (master's) level maths course, largely based on the excellent notes by David Tong and predecessors. Information for examples class tutors

Example pass/fail exam question and recorded revision lecture(s).
Use his printed notes | Peskin and Schroeder | Quantum field theory for the gifted amateur as references, as well as
my other notes on cross sections and decay rates | mod squared Feynman rules for fermions | electron muon scattering.
Videos of David Tong's lectures delivered at the Perimeter Institute. It is a similar course, although because the lectures were longer in duration, he gave 14 rather than 24. (He didn't lecture cross sections and decay rates, however and a few of the conventions are different).
Examples sheets (3P1)

Vector Calculus IA: 2014-2015

A part IA (first year) course. The lectures are heavily based on those by Jonathan Evans. Try our printed notes.

Beyond The Standard Model: 2016,2018

A set of 3 1.25 hour lectures and discussion sessions given to over 100 experimental PhD students at the CERN-JINR European School of High-Energy Physics

Quantum Field Theory: 2013

See a few introductory lectures that I gave for the CERN Summer School Programme (videos/PDFs). See the classic lectures by Dave Tong, whose notes my lectures were based on.

Principles of Quantum Mechanics 2009-2013

This is a part II course in the Cambridge mathematical tripos. The lectures/examples sheets are heavily based on the ones written by Jonathan Evans.

See the nice book by Binney and Skinner also. If you want to watch some lectures on this kind of course, watch the really excellent ones by James Binney.

The Standard Model 2004-2009

This is a part III course in the Cambridge mathematical tripos. Please advise me of any mistakes etc by email. The notes are heavily based on the ones written and evolved by previous lecturers: Ian Drummond, Hugh Osborn, Jonathan Evans, Simon Dalley and Robert Thorne.
Other Standard Model notes: Hugh Osborn

Ben Allanach's homepage