ÍÃ×ÓÏÈÉú

This 3-year self-funded PhD will be based in the School of Mathematics and Physics and will be supervised by Dr Thomas Kecker and Dr Andrew Burbanks.

On this project, we will study the properties of solutions of certain recently-discovered classes of differential equations in the complex plane, which have movable singularities of algebraic type.

This property is a generalisation of the so-called Painlevé property, within which all singularities have to be poles in the complex plane.

The project will develop a theory of multi-valued analytic functions defined as solutions of these equations, and rigorously investigate their properties –&²Ô²ú²õ±è;such as the distribution of their singularities in the complex plane; the asymptotic behaviour of solutions in the limit where the independent variable tends to infinity; and the possibility of truncated solutions.

Fees and funding

Visit the research subject area page for fees and funding information for this project.

Funding availability: Self-funded PhD students only. 

PhD full-time and part-time courses are eligible for the UK  (UK and EU students only).

Bench fees

Some PhD projects may include additional fees – known as bench fees – for equipment and other consumables, and these will be added to your standard tuition fee. Speak to the supervisory team during your interview about any additional fees you may have to pay. Please note, bench fees are not eligible for discounts and are non-refundable.