The central aim of the EPSRC Centre for Doctoral Training (CDT) in Partial Differential Equations (PDEs) is to educate cohorts of highly trained, outstanding mathematicians with deep expertise and interdisciplinary skills in the analysis and applications of PDEs, to help drive scientific advances over the next fifty years. The role of PDEs within mathematics, especially nonlinear analysis, geometry, topology, stochastic analysis, numerical analysis, and applied mathematics, and in other sciences (such as physics, chemistry, life sciences, climate modelling/prediction, materials science, engineering, and finance) is fundamental; it is at the heart of many scientific advances and is becoming increasingly significant. There will be annual reviews of your progress, drawing on indicators such as attendance, assessment of your mini-projects, and course results at the end of your first year, followed by the submission of a written report, in support of your transfer from Probationary Research Student status to DPhil status at the end of your second year, and a Confirmation of Status interview at the end of your third year, to ascertain progression towards the submission of your DPhil thesis. It is expected that those successfully completing the training programme will go on to undertake further research in academia/industry or work in industry.