Pure Mathematics and Mathematical Logic (1 year) [MSc]

This one year taught postgraduate programme leads to the degree of MSc in Pure Mathematics and Mathematical Logic.

There is a main pathway (leading to a degree of MSc in Pure Mathematics) and a pathway in mathematical logic (leading to a degree of MSc in Pure Mathematics and Mathematical Logic).

The programme is suitable not only for students who wish to improve their background knowledge prior to applying to undertake a PhD by research, but also for students who wish to enhance their knowledge of postgraduate-level abstract 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.  You may choose exclusively pure topics, or mainly logic modules with a few pure modules.

Alternatively, students can choose a mixture of the two.  For the mathematical logic pathway, you would do the logic modules together with a project on a topic from logic. 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 pure mathematics or mathematical logic, normally of current or recent research interest, chosen in consultation with your supervisor.

For the logic pathway, the dissertation must be in a logic related topic.

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.

For additional information, please click here.

Fees and funding

Information about the fees for this programme can be found here. There are a variety of funding opportunities available including loyalty bursaries for University of Manchester students (worth £2000) together with an additional 10% reduction for University of Manchester students with a first class degree, and the UK government's postgraduate loan scheme. Contact the admissions team for further details of these opportunities.

Course aims

This course provides training in a range of topics related to pure mathematics and mathematical logic, to encourage a sophisticated and critical approach to mathematics, and to prepare students who have the ability and desire to follow careers as professional mathematicians and logicians in industry or research.

It is also suitable as a preparation for our PhD programmes in Pure Mathematics and in Mathematical Logic.

Unit details

The taught courses cover material related to the research interests of the academic staff.

Topics covered in lectured course units normally include set theory, group theory, dynamical systems and ergodic theory, measure theory, functional analysis, algebraic topology, model theory, hyperbolic geometry, Lie algebras, analytic number theory, Galois theory, predicate logic, computation and complexity, and other topics relevant to current mathematics.

Full list of current course units

Contact

Contact us: pgt-maths@manchester.ac.uk

Tel: +44(0)161 275 5826

 

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