Title: Multi-component integrable systems and Bose-Einstein condensates
Funding: Full time Home/EU fees and a stipend of £15,009 p.a. (terms & conditions)
Application deadline: 3 July 2019 (interviews for shortlisted candidates are scheduled to take place w/c 15 July 2019)
Start date: October 2019 (or soon as possible thereafter).
Duration: 3 years (full time)
Location: Colchester Campus
Based in: Department of Mathematical Sciences
The proposed project aims to build up a systematic theory of rational solutions of multi-component integrable systems (i.e. systems of coupled nonlinear partial differential equations (PDEs) integrable/solvable by Inverse Scattering Method).
More specifically, it has the following research objectives:
We will restrict ourselves in this project to integrable systems with linear and quadratic dispersion laws. As a main prototype, we will deal with Nonlinear Schrodinger systems related to symmetric spaces (known as Fordy-Kulish models).
The project lies in the broad area of Applied Mathematics and Mathematical Physics, including some interdisciplinary elements – it brings together ideas from Functional analysis and Spectral theory, Group theory (Lie groups and Lie algebras, symmetries) and Differential geometry (symmetric spaces).
Depending on the successful candidate’s profile, the emphasis can be either on the algebraic or analytic aspects of the theory (ideally on both).
The award consists of a full Home/EU fee waiver or equivalent fee discount for overseas students (further fee details), a doctoral stipend equivalent to the Research Councils UK National Minimum Doctoral Stipend (£15,009 in 2019-20), plus £2,500 training bursary via Proficio funding, which may be used to cover the cost of advanced skills training including conference attendance and travel.
At a minimum, the successful applicant will have a good honours degree (1st class or high 2:1, or equivalent GPA from non-UK universities) in (pure or applied) mathematics or theoretical physics. An MSc in a relevant subject is desirable (preference for Upper Merit or above).
The ideal candidate will have strong background in mathematics (differential equations, algebra, analysis and geometry) and theoretical physics, and good programming skills.
Knowledge in one or more of the following areas is desirable:
Working knowledge of Maple and Mathematica is desirable.
An IELTS score of 6.5 or above, or equivalent (if applicable).
You can apply for this postgraduate research opportunity online.
On the online application please upload:
Instruction to applicants
When you apply online you will be prompted to fill out several boxes in the form:
If you have any informal queries about this opportunity please email the lead supervisor, Dr Georgi Grahovski (firstname.lastname@example.org)