UCL is recruiting students for 4-year fully funded doctoral studentships in Mathematical Sciences research
Applications are now open at the following page: https://www.ucl.ac.uk/statistics/ucl-epsrc-mathematical-sciences-doctoral-studentships-competition which has details of the application process and a list of available research projects. Applications are also welcomed from students who wish to propose their own research project designed in collaboration with their proposed supervisor.
You can find out about the research areas within the EPSRC Mathematical Sciences theme on the EPSRC website. UCL has researchers working in these areas in many different departments across the university. You may wish to browse the UCL website to identify researchers or groups you may be interested in working with. The list of UCL faculties will help you find links to their constituent departments and their research interests.