ACADEMIC SCHOOLS AND DEPARTMENTS MATHEMATICAL SCIENCES
Research opportunities PhD 3 years full-time; 5 years part-time MPhil 2 years full-time; 3 years part-time Entry requirements Applicants should have a 1st class or good 2:1 degree in Mathematics or a related discipline. Our research is organised into six research groups: Dynamical Systems, Geometry and Mathematical Physics, Global Analysis and PDEs, Linear and Nonlinear Waves, Mathematical Modelling and Stochastic Analysis.
Supporting you
You will have at least two academic supervisors who will guide you in your research. You’ll also enjoy a dynamic research atmosphere with regular workshops, international visitors and a wide range of research seminars to which you’ll be invited to make presentations. You’ll also be provided with a desk, computer, photocopying facilities and can apply for funds for conference attendance.
How to apply
You do not need to submit a detailed research proposal with your application, but please indicate which area of research you wish to pursue and/or names of staff members you are interested in working with.
155
Our areas of research Dynamical Systems
This group studies a wide range of aspects of dynamical systems theory, such as Hamiltonian and dissipative dynamics, dynamical chaos in classical and quantum systems, dynamics of multi-scale systems, ergodic theory, random matrix theory, and bifurcation theory. Applications include problems of celestial mechanics, plasma physics, semi-classical methods, atomic physics, and the dynamics of chemical reactions.
Geometry and Mathematical Physics
The theory of integrable systems studies differential equations which are, in a sense, exactly solvable and possess regular behaviour. Such systems play a fundamental role in mathematical physics providing an approximation to various models of applied interest. Dating back to Newton, Euler and Jacobi, the theory of integrable systems now plays a unifying role in mathematics bringing together algebra, geometry and analysis. The research of the group includes both classical and quantum integrable systems in relation to representation theory and special functions, as well as algebraic, differential and symplectic geometry.
Global Analysis and PDEs
Global analysis and the theory of partial differential equations (PDEs) are classical fields of mathematics that have a wide range of applications, for instance in number theory, group theory, geometry and topology. They also have important applications outside of mathematics in physics, engineering and chemistry. The Global Analysis and PDEs Research Group is rooted in pure mathematics and focuses on geometric and topological aspects of analysis. The interests of the group include spectral and scattering theory on manifolds, regularity and existence of global solutions to pseudo-differential equations and boundary value problems, topological questions related to generalisations of the Atiyah-Singer index theorem, applications of theory of PDE to approximation theory, as well as other topics.
lboro.ac.uk/pg2017/maths