Research degrees in Mathematics
Welcome to the Postgraduate Research webpage for prospective new PhD students of the School of Mathematical Sciences. Our School offers PhD opportunities in a wide range of areas in Mathematical Sciences: see here for details about our research activities. We have a large and thriving community of postgraduate research students, currently numbering approximately 70 students.
Research students are assigned a PhD supervisor who has closely related mathematical interests, and with whom they agree on a programme of study and research. That programme includes advanced courses provided by the London Taught Course Centre (LTCC)(link is external), which is a joint initiative of several London Colleges. The School furthermore provides opportunities for acquiring skills through short courses such as, e.g., on Mathematical Writing. Students will also have the opportunity to gain experience in teaching, for example through leading exercise classes for undergraduate students, while at the same time supplementing their income.
Funding, usually for a period of 3.5 years, is available on an annual basis from both EPSRC and from the University, designed to cover the fees and living expenses of suitably qualified applicants. See here for current PhD studentship offers and for a list of sample PhD projects.
Please note that the internal deadline for fully-funded positions is the 31st of January 2019 and for projects competing for the Alan Turing Institute funding the deadline is 14th of January 2019.
We accept applications for self-funded full or part-time projects all year round.
If you are interested to do a PhD with us, we recommend that you first read through the entry requirements. For detailed information about what it means to do a PhD at our School please explore the information under Current Students.
For more information about the School and the research programmes please see School of Mathematical Sciences School's research groups:
- Algebra and Number Theory
- Complex Systems and Networks
- Dynamical Systems and Statistical Physics
- Geometry and Analysis
- Probability and Applications
Algebra and Number Theory
The Algebra and Number Theory Group at QMUL has a long and distinguished history, going back to such names as Kurt Hirsch, Karl Gruenberg and Ian G. Macdonald. Having made its reputation primarily in group theory, it now covers a range of areas in group theory, representation theory, number theory, algebraic combinatorics, algebraic geometry, logic, homological/categorical algebra, and computational methods.
A very active group that works both on topics within combinatorics (especially finite geometry and design theory) and on links with algebra (permutation groups), logic (model theory), information and coding theory, and design of experiments.
Complex Systems and Networks
The Complex Systems and Networks group is interested in the mathematical description and modelling of the architecture and dynamics of complex systems. Its main goal is to understand how a complex system self-organizes and how various collective behaviours emerge when a large number of units or dynamical systems interact through non-trivial networks. It makes use of mathematical tools from graph theory, statistical mechanics and nonlinear dynamics, and large-scale numerical simulations. The group is interested in applications to biology, social systems, and man-made networks, where it address both fundamental problems as well as applied research with some industrial collaborators.
Dynamical Systems and Statistical Physics
The Dynamical Systems and Statistical Physics Group has a broad range of research interests in the area of statistical mechanics as applied to a variety of complex systems, and in the mathematical foundations of dynamical systems theory. Particular emphasis is on non-equilibrium processes, stochastic modelling, ergodic theory, chaotic and nonlinear phenomena, and interdisciplinary applications. The group has numerous collaborations and links with other groups in the department, and with other research groups worldwide.
Geometry and Analysis
The Geometry and Analysis group a vibrant research group with expertise in algebraic, differential and noncommutative geometry, functional and harmonic analysis, mathematical relativity theory, model theory, operator algebras, partial differential equations, quantum algebra and topology. It organises regular seminars throughout the academic year and works closely with other groups in the School of Mathematical Sciences: Algebra, Combinatorics, Dynamical Systems and Statistical Physics.
Probability and Applications
Probability is both a fundamental way of viewing the world, and a core area of mathematics. Probability theory is concerned with the analysis of mathematical models of random phenomena, as occur in many branches of science. The group Probability and Applications at QMUL is engaged in numerous research activities, including stochastic processes, statistics, random discrete structures, random matrices and stochastic optimisation, as well as in applications of probability to statistical physics, modelling of epidemics, networks, financial engineering and other areas.
Candidates for the PhD programmes in Mathematics or Statistics should normally have a first or good upper second-class honours BSc in mathematics or statistics, or a more advanced qualification such as MSci, MMath, or MSc.
For international students, please refer to the International students section.
Find out more
Dr Alex Fink
Director of Postgraduate Research Studies