PhD in Pure Mathematics and Mathematical Statistics

University of Cambridge

This course is a three to four-year programme culminating in the submission and examination of a single research thesis. Students joining the course will often have completed prior study at a level comparable to our Part III (MMath/MASt) course and many have postgraduate experience. Our students, therefore, begin their PhD research with a good understanding of advanced material, which they build on in various ways throughout the course of their PhD studies. Structure of the PhD Students are required to undertake a minimum of nine full-time terms of research (i.e., three years). Students are not registered for the PhD in the first instance but are instead admitted on a probationary basis. All students are assessed for registration in their fourth term. This assessment is based on a written report of between 15 to 20 pages in length. Students are also required to undertake a discussion of their work with two assessors before being registered for the PhD. Research areas Research in DPMMS can be divided into the following broad areas: Algebra, Algebraic Geometry, Analysis and Partial Differential Equations, Combinatorics, Differential Geometry and Topology, Foundations, Number Theory, Information and Finance, Probability, and Statistics. The boundaries between such areas are not rigid, however, and staff may contribute to more than one area. Additional training and opportunities Whilst there are no mandatory taught components to the PhD degree, students may wish to undertake specific courses or further training to expand their knowledge, either for personal interest or to directly assist with their PhD research. All students are encouraged to participate in and attend the wide range of lectures, seminars and events on offer within DPMMS and the Centre for Mathematical Sciences. We intend that our students publish their work in leading journals. Our PhD students might have written several papers before they submit their thesis, and can go on to win academic positions at leading institutions around the world. DPMMS also promotes and encourages researcher development and transferable skills training. This can take the form of assisting with Part III preparatory workshops, attendance at skills-based training sessions, or presenting work at seminars and conferences. The University also offers training via the Researcher Development Programme. There is no requirement for PhD students to teach but there are plenty of opportunities to do so, such as offering supervisions for third-year undergraduates (this involves the supervisor sitting with a pair of students for an hour, discussing their work). PhD students might help with running examples classes for Part III students, too.

Department of Pure Mathematics and Mathematical Statistics