The MIGSAA programme is now closed to applicants. A new, 4-year, doctoral training programme, the Maxwell Institute Graduate School in Mathematical Modelling, Analysis and Computation (MAC-MIGS), is recruiting for entry in September 2020, 2021, 2022 and 2023. See https://www.mac-migs.ac.uk/ for details and to register interest. The new programme has a similar structure to MIGSAA.