Mathematics and physics resources

(page under construction)

Mathematical physics

Something to get you started:

"Lectures on the Geometric Anatomy of Theoretical Physics by Dr Frederic Schuller is a great introduction to applying mathematical concepts in physics. Covers basic differential geometry, Lie groups and their algebras, and representation theory.
These notes by Josh Kirklin, for the 2015 "Symmetries, Particles and Fields" Part III course taught by Nick Dorey.
David Tongs notes for literally anything, but my favourites are QFT, GR and String Theory.

Number theory + Physics:

Communications in Number Theory and Physics
Introduction to Modular Forms by Simon Rose
Modular Forms and Modular Congruences of the Partition Function, bachelor thesis by Shyam Narayanan
(Mock) Modular Forms in String Theory and Moonshine, notes by Miranda C. N. Cheng from Asian Winter School at OIST 2016
Modular forms in Quantum Field Theory, by Francis Brown and Oliver Schnetz
A Window into Zeta and Modular Physics, book based on lectures from MSRI workshops with the purpose of "bridge various gaps between mathematics and physics", aimed towards students
NAAP Working group