Quantum Chromodynamics (QCD) is the theory of the strong nuclear force. Phases of matter under extreme conditions such as in the interior of compact stars are governed by QCD, and their properties and phase transitions are a matter of ongoing research. The project mainly deals with matter in an external magnetic field and is based on earlier research that predicts anisotropic and possibly inhomogeneous crystalline phases in these circumstances. Due to the difficulty of QCD, effective theories and phenomenological models will be used. Knowledge and some practice with quantum field theory is required, while a detailed understanding of dense nuclear and quark matter will be acquired in the course of the project. Due to the strong-coupling nature of the problem, it is also conceivable to employ 'holographic' methods, based on the string-gravity duality, possibly in the later stages of the study. Compact stars are the 'laboratory' for the phases under investigation, and the project also aims at making the connection to astrophysical observables, for instance by calculating transport properties and the neutrino emissivity of magnetized matter.
How to apply:
Applications should be made online (see link below). Select programme type (Research), 2026/27, Faculty of Social Sciences, next page, select PhD Mathematical Sciences (Full time). In Section 2 of the application form you should insert the name of the supervisor.
Applications should include:
1. A personal statement discussing any experience that you may have around optimisation, operational research, game theory, and/or programming, your mathematical background, and any details of experience that you might have in working with business or industry clients (free form, 1-page A4)
2. Curriculum vitae - including academic study, work experience and any publications if available
3. Names and institutional email addresses of two academic referees
4. All your degree transcripts to date
Apply online: https://www.southampton.ac.uk/study/postgraduate-research/apply?&utm_source=mathspgr&utm_medium=mathspgrCTAapply&utm_campaign=mathspgrCTAapply
