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.
Background and Training Structure
Partial Differential Equations (PDEs) are at the heart of many scientific advances. The behaviour of every material object in nature, with time scales ranging from picoseconds to millennia and length scales ranging from sub-atomic to astronomical, can be modelled by deterministic and stochastic PDEs or by equations with similar features.
A sizeable yearly cohort has allowed the CDT to create new training mechanisms, so that you will learn theory, analysis, and applications of PDEs in a variety of fields in a coherent manner with a natural progression, by-passing a traditionally separate 'pure' or 'applied' approach to learning.
You will undertake a four-year programme with the first year consisting of a set of intensive courses focusing on the analysis and applications of PDEs. The first year also includes two ten-week mini-projects allowing you to broaden your knowledge and find a field suitable for you to develop your main research topic.
In years two to four you will conduct research towards your DPhil thesis. In this you will be aided by study groups, collaborative workshops, seminars, student seminars and conferences. You will also broaden your knowledge through further courses and skills training.
The CDT has fifteen international academic and four non-academic partners. It is expected that there will be opportunities for CDT students to visit some of the academic partners and a limited number of internships will be available with some of the non-academic partners.