PhD Studentship in Nonlinear Equations in Quantum PDE’s

University of Sussex

We are pleased to offer this fully-funded PhD studentship, available in the Department of Mathematics at University of Sussex.

The research project addresses the mathematical analysis of nonlinear partial differential equations arising in electronic structure models of quantum chemistry and, in particular, models in the presence of an external magnetic field. The objective is to identity, explore and develop relevant links between the various variational methods, with a view to providing a more integrated approach to their use in nonlinear partial differential equations and initiating new areas of application within quantum chemistry, with possible use in numerical studies.

The PhD project will be under the supervision of Professor Michael Melgaard.

Award amount

£14,296 (2016-17) per annum tax-free bursary and waiver of UK/EU fees each year for 3.5 years. Full-time study.


Applicants must hold, or expect to hold, a UK Bachelor degree in Mathematics at first or upper second class, and/or a UK Master's degree in Mathematics, or equivalent non-UK qualifications. A high standard of written and spoken English is essential.

Candidates with background knowledge of partial differential equations, mathematical analysis, and quantum physics, are preferred.

The studentship is open to UK and EU resident students.

Overseas (ex-EU) students may also apply, but applicants should note that the award waives the fees at UK/EU rates only, of £4121 (2016-17) per year. Due to UK government requirements, Overseas students pay higher fees of £14800 per year (2016-17), so additional fees of £10679 per year will be required. We regret we are unable to fund the additional fees ourselves.

Application procedure

Apply through the Sussex on-line system

State in the Funding section of the application form that you are applying for the "PhD studentship on Nonlinear Equations in Quantum Chemistry supervised by Prof Michael Melgaard".

Applications should include a CV, as well as transcripts of marks obtained on your degree(s) and the names and contact details of two academic referees.

Ex-EU applicants must state how they will fund the additional fees required.  We cannot consider applications from Overseas students without a clear plan stating how the additional funding will be raised.


Candidates are encouraged to apply, or at least make an expression of interest, as early as possible. The award will be filled as soon as a suitable candidate can be found.

Possible start date are September 2016 and February or May 2017.

Further information

This is a full-time studentship.  With agreement of the supervisor the student may take on a limited amount of teaching, for which additional payment will be made.

The Department of Mathematics research webpages can be found here:

Contact details

Informal enquiries should be sent to Prof. Michael Melgaard,

Enquiries about your eligibility, the progress of your application, and admission to Sussex, should be sent to Rebecca Foster

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