CHRIS WILLIAMS
MATHEMATICS NOTES
Miscellaneous notes
The following are various mathematical writings written by me or to which I have contributed.
Formal reports and theses

PhD Thesis: Overconvergent Modular Symbols over Number Fields, under the supervision of David Loeffler (WRAP copy)

PhD First year report: Overconvergent Modular Symbols and padic Lfunctions of Modular Forms

Part III Essay: padic Uniformisation of Elliptic Curves, under the supervision of Tony Scholl
Lecture notes and conference proceedings

Benasque 2015 notes: Arithmetic of Euler systems
Other expository notes

Introduction to Hida theory (notes from Benasque, Aug 2015)

Overconvergent modular symbols and the eigencurve (notes from Barcelona, Jan 2017)

Padic Asai Lfunctions of Bianchi modular forms (broad brush explanation of my paper with David)
Further lecture notes
The following are various (handwritten scanned) notes from courses I've attended.
During PhD (201216)

Modularity Lifting Theorems (4 lectures by Toby Gee, Arizona WS)

Modular Curves at Infinite Level (4 lectures by Jared Weinstein, AWS)

Congruences For Modular Forms (5 lectures by Frank Calegari, AWS)

Modular Forms (30 lectures by Haluk Sengun)
Part III Courses (201112)

Elliptic Curves (16 lectures by Vladimir Dokchitser)

Local Fields (24 lectures by Tom Fisher)
Cambridge Undergraduate (20082011)

Linear Algebra (24 lectures by Tom Fisher)

Metric & Topological Spaces (12 lectures by Ben Green)

Riemann Surfaces (16 lectures by Pelham Wilson)

Numbers and Sets (24 lectures by Peter Johnstone)

Groups (24 lectures by Gabriel Paternain)

Analysis I & II (24 lectures by Andrew Thomason, 24 by Alexei Kovalev)