Beyond the undergraduate degree lie the graduate specialisms — focused, research-adjacent courses that assume a confident command of analysis, algebra and probability, and take a single subject to the depth of a taught master's (MSc) module. Each course below is a curated path, so you can see the whole shape of the syllabus before you climb it.

Master's courses

• Analytic Number Theory: The Distribution of the Primes — the full modern theory of how the prime numbers are scattered: from Chebyshev's estimates and the rigorous Prime Number Theorem, through the Riemann zeta function, Dirichlet L-functions, sieve methods and prime gaps, to the automorphic and computational frontier.

Begin → Analytic Number Theory