Pure Mathematics and Mathematical Logic The University of Manchester

Overview

This one-year taught postgraduate programme is designed for individuals seeking to deepen their understanding of abstract mathematics and logic. It serves as a pathway from the MSc in Pure Mathematics to the MSc in Pure Mathematics and Mathematical Logic. Students have the flexibility to switch to the MSc in Pure Mathematics at any stage of their studies.

The MSc programme is structured into two main components: the taught component, which runs from September until the end of the second semester in late spring, and the dissertation component, which takes place from June to September. During the taught component, students typically engage with six units alongside a research skills and project unit. Specifically, those on the Pure Mathematics and Mathematical Logic pathway will focus on logic units and select pure mathematics units.

The University of Manchester is renowned for its exceptional research reputation and state-of-the-art facilities, providing an enriching environment for students. The department's commitment to interdisciplinary collaboration and a focus on societal impact makes it an ideal choice for aspiring mathematicians and logicians.

Syllabus

The course units for the MSc in Pure Mathematics and Mathematical Logic include:

• Dissertation in Pure Mathematics and Mathematical Logic
• MSc Pure Mathematics Research and Project Skills
• Computation and Complexity
• Category Theory
• Model Theory
• Measure Theory and Ergodic Theory
• Differentiable Manifolds
• Algebraic Topology
• Riemann Surfaces
• Lie Algebras
• Galois Theory
• Graph Theory
• Representation Theory
• Dynamical Systems
• Stochastic Calculus
• Brownian Motion
• Martingale Theory

Careers 

The MSc programme equips graduates with robust quantitative skills applicable across various sectors. Alumni have secured positions in diverse fields, including:

• Teaching
• Research Associate roles
• Software Engineering
• Chief Financial Officer positions
• Chief Executive Officer roles

Graduates often find opportunities in the financial sector, technology firms, and academia, reflecting the strong demand for skilled mathematicians in today's job market. Notable employers of alumni include Oracle, Alliance Manchester Business School, Scottish Life, AT&T Labs, and the NHS.