Course summary

Would you like to enhance your knowledge of postgraduate-level abstract mathematics and logic? Or perhaps you wish to improve you background knowledge prior to applying for a PhD by research in this area? If either of the above statements apply, this could be the course for you. This one year taught postgraduate programme is a pathway from the MSc in Pure Mathematics and leads to the degree of MSc in Pure Mathematics and Mathematical Logic. You may, at any point, switch to the MSc in Pure Mathematics. The MSc comprises of the taught component, running from the start of the academic year in September until the end of the second semester in late spring, followed by the dissertation component running from June until September. During the taught component of the course, you will normally take six units together with a research skills and project unit. On the MSc in Pure Mathematics and Mathematical Logic Pathway, you would take the logic units and some pure mathematics units. In the research skills and project unit you will first complete a mini-project to improve mathematical writing skills, and then undertake a project. The project is normally an expository account of a piece of mathematics and you will write this under the guidance of a supervisor. The taught component comprises of conventional lectures supported by examples classes, project work and independent learning via reading material. After successfully completing the taught component, you will prepare a dissertation on an advanced topic in mathematical logic, normally of current or recent research interest, chosen in consultation with your supervisor. We supervise projects and dissertations in a variety of areas of pure mathematics and beyond. These include (but are not limited to): noncommutative algebra, representation theory, algebraic geometry, group theory, category theory, logic, number theory, ergodic theory, dynamical systems, geometric group theory, combinatorics, semigroups, differential geometry, and also subjects connected to probability. You can also take the programme part-time, over a period of two years. There is some flexibility in the precise arrangements for this programme, but you would normally attend two lecture courses each semester for three semesters before commencing work on your dissertation. Within two weeks from the start of the academic year, students in this programme can opt to change to the MSc in Pure Mathematics.