Pure Mathematics

Modules shown are for the current academic year, and are subject to change depending on your year of entry.

The programme is organised into two course elements. The first element consists of seven lectured modules, each examined by a written paper (three or four per year in the part-time option); the second element consists of a project, examined by a written report and an oral examination. The project must be the study of some mathematical topic in one of the core areas of:

• Analysis
• Algebra
• Geometry
• Number Theory and Combinatorics

Each module will normally last for one term. The following is a guide to the modules that will be available for study.

• Fourier Analysis and Theory of Distributions
• Measure and Integration
• Analytic Methods in Partial Differential Equations
• Stochastic Filtering
• Probability Theory
• Geometric Complex Analysis
• Random Matrices
• Functional Analysis

• Geometry I: Algebraic Curves
• Geometry II: Algebraic Topology
• Algebraic Geometry
• Geometry of Curves and Surfaces
• Riemannian Geometry
• Manifolds
• Differential Topology
• Introduction to Riemann Surfaces and Conformal Dynamics

• Galois Theory
• Group Theory
• Group Representation Theory
• Algebraic Combinatorics
• Representations of Symmetric Groups
• Lie Algebras
• Commutative Algebra
• Infinite Groups
• Algebra IV
• Algebra 3

• Number Theory
• Algebraic Number Theory
• Elliptic Curves
• Modular Forms