Project Overview
Quantum field theory (QFT) is the framework that describes most quantum phenomena in the universe. One of the greatest open problems in QFT is to give a systematic way to understand strongly interacting QFTs, where non-perturbative features become important. In this project, the student will apply techniques from mathematical physics, such as generalized symmetries and topologically invariant QFTs (TQFTs), to study non-perturbative aspects of QFT.
Available Projects
Projects are available in the study of formal aspects of generalized symmetries, semiclassical study of monopoles, and the applications of generalized symmetry to problems in particle physics.
Requirements
We are looking for strong candidates with a strong background in QFT. Candidates are encouraged to make an informal inquiry with Prof. T Daniel Brennan (t.d.brennan@bham.ac.uk).
Funding Notes
While all applications will be given full consideration, the available funding is for a home-fee scholarship (home-fee includes UK and Irish permanent residents). Exceptional candidates without home-fee status will be in competition for a very limited number of scholarships for international students within the School of Mathematics.
Early applications are strongly recommended; there is a deadline for scholarship applications in January (annually) to be considered in the first scholarship meeting; however, later applications will also be considered.
Other scholarship and funding opportunities:
- https://www.birmingham.ac.uk/study/postgraduate/subjects/mathematics-courses/pure-mathematics-phd
Application Instructions
- Apply via https://www.birmingham.ac.uk/study/postgraduate/subjects/mathematics-courses/pure-mathematics-phd
- Make sure to mention Prof. T. Daniel Brennan and Geometry and Mathematical Physics Group in your application.
