This page is intended to be a repository of the notes I've taken during the Lent term of Part II (lent 2025) of the Mathematical Tripos, Part III (2025-2026) and my PhD (2026-present) Some notes are of higher quality than others, mostly depending on how well I've understood the course. Corrections welcomed to amelia.needham@maths.ox.ac.uk
III Amenability (Dr F. Fournier-Facio) (pdf)
III Complex Manifolds (Dr. M. Jeffs) (pdf)
III Coxeter Groups (Dr A. Jones, updated Part III Lent) (pdf)
III Hochschild Cohomology and Deformation Theory (Dr C.J.B. Brookes) (pdf)
III Modular Representation Theory (Prof. S. Martin) (pdf)
III Symplectic Topology (Dr A. Ward, incomplete) (pdf)
II Algebraic Geometry (Prof. H. Kreiger) (pdf)
II Analysis of Functions (Prof. R Nickl) (pdf)
III Algebraic Topology (Prof O. Randall-Williams) (pdf)
III Lie Algebras and their Representations (Prof I. Grojnowski) (pdf)
III Differential Geometry (Dr Y. Li, incomplete) (pdf)
III Functional Analysis (Dr A. Zsak, incomplete) (pdf)
III Category Theory (Prof P. Johnstone) (pdf)
III Algebraic Geometry (Prof M. Gross) (pdf)
III Commutative Algebra (Prof N. Williams) (pdf)
III Non-Commutative Noetherian Rings (Prof S. Wadsley, incomplete) (pdf)
III Topics in Infinite Groups (Dr C.J.B. Brookes) (pdf)
III Geometric Group Theory (Prof H. Wilton, incomplete) (pdf)
III Riemannian Geometry (Dr A. Kovalev, incomplete) (pdf)
Motivic Homotopy Theory (Topology Advanced Class Michaelmas 2026, in progress) (pdf)