Geometric aspects of complex differential equations
PhDs and postgraduate research
Self-funded PhD students only
School of Mathematics and Physics
October and February
Applications accepted all year round
The PhD will be based in the School of Mathematics and Physics and will be supervised by Dr Thomas Kecker.
The work on this project could involve:
- Classifying the types of singularities in the complex plane of solutions of certain complex differential equations
- Computing spaces of initial values of certain classes of differential equations using Mathematica (or similar)
- Exposing the connection between the space of initial values and the underlying symmetries of the equations
Fees and funding
Funding availability: Self-funded PhD students only.
PhD full-time and part-time courses are eligible for the UK Government Doctoral Loan (UK and EU students only).
2021/2022 fees (applicable for October 2021 and February 2022 start)
PhD and MPhil
Home/EU/CI full-time students: £4,500 p/a**
Home/EU/CI part-time students: £2,250 p/a**
International full-time students: £17,600 p/a*
International part-time students: £8,800 p/a*
PhD by Publication
External candidates: £4,407*
Members of staff: £1,720
All fees are subject to annual increase. If you are an EU student starting a programme in 2021/22 please visit this page.
*This is the 2020/21 UK Research and Innovation (UKRI) maximum studentship fee; this fee will increase to the 2021/22 UKRI maximum studentship fee when UKRI announces this rate in Spring 2021.
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.
You'll need a good first degree from an internationally recognised university (minimum upper second class or equivalent, depending on your chosen course) or a Master’s degree in an appropriate subject. In exceptional cases, we may consider equivalent professional experience and/or qualifications. English language proficiency at a minimum of IELTS band 6.5 with no component score below 6.0.
A good working knowledge of either complex analysis, algebraic geometry, the theory of differential equations, or a combination of these, and a genuine interest in applying the methods outlined above to solve fundamental questions in complex differential equations using computer algebra software.
How to apply
When you are ready to apply, please follow the 'Apply now' link on the Mathematics PhD subject area page and select the link for the relevant intake. Make sure you submit a personal statement, proof of your degrees and grades, details of two referees, proof of your English language proficiency and an up-to-date CV. Our ‘How to Apply’ page offers further guidance on the PhD application process.
When applying please quote project code: SMAP5251021.