The University of Manchester's Department for Chemical Engineering are advertising a fully funded PhD studentship for a Home student to work on Hybrid ML-Physics Optimisation Framework for Pharmaceutical Reactors. 
MARS: Mathematics for AI in Real-world Systems, based in the School of Mathematical Sciences at Lancaster University, is offering fully-funded, four-year PhD studentships for UK fees status students starting in October 2026.
The Centre for Quantum Mathematics at the University of Southern Denmark is advertising a fully funded PhD position with targeted starting date September 1st, 2026 or soon thereafter. Candidates are expected to have obtained their MSc degree in mathematics or mathematical physics by the starting date, but not necessarily at the time of application.
The University of Galway invite applications for a fully funded 4-year PhD position in Theoretical High-Energy Physics, funded by the Research Ireland Pathway grant “Integrability in Non-Lorentzian Holography” led by Andrea Fontanella, starting in September 2026.
The main focus of the PhD project is to further develop the recently discovered non-relativistic and Carrollian holography, to construct integrability techniques for non-Lorentzian theories, and to explore applications of non-Lorentzian holography to flat space holography.
Are you ready to be at the forefront of mathematical solutions for climate challenges? A funded PhD position is available at University College Dublin, for the project "Individual bovine variation in the transmission and disease of Mycobacterium bovis" starting in September 2026.
The project is supervised by Dr Miriam Casey (School of Veterinary Medicine) and Dr Michael Fop (School of Mathematics and Statistics).