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Sparsity of Solutions in Integer Optimisation

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  • Full or part time
    Dr I Aliev
    Dr T Oertel
  • Application Deadline
    No more applications being accepted
  • Competition Funded PhD Project (European/UK Students Only)
    Competition Funded PhD Project (European/UK Students Only)

Project Description

The project aims to develop novel algebraic and geometric methods that can be successfully applied to study integer optimisation problems, with a special focus on sparsity of solutions in context of (linear or nonlinear) integer optimisation

An international team of researchers in Cardiff University, UC Davis and TU Berlin are currently developing novel algebraic and geometric methods that can be successfully applied to study integer optimisation problems, with a special focus on sparsity of solutions in context of (linear or nonlinear) integer optimisation.
The PhD student will join this research network. Under supervision of Dr Aliev and Dr Oertel they will use the cutting-edge algebraic and geometric techniques of mathematical optimisation that take their origin in modern discrete geometry, number theory and commutative geometry.
The student will have an excellent opportunity for collaboration with researchers from UC Davis discrete mathematics network and MATHEON network (TU Berlin).
The proposed work will also involve the use of the state of the art software for computations with polyhedra (LattE) developed in UC Davis.
.

Funding Notes

UK Research Council eligibility conditions apply.

Full awards (fees plus maintenance stipend) are open to UK Nationals and EU students who can satisfy UK residency requirements. To be eligible for the full award, EU Nationals must have been in the UK for at least 3 years prior to the start of the course for which they are seeking funding, including for the purposes of full-time education.

References

Applicants should submit an application for postgraduate study via the Cardiff University Online Application Service.
http://www.cardiff.ac.uk/study/postgraduate/applying/how-to-apply/online-application-service/mathematics-research
Applicants should select Doctor of Philosophy (Mathematics) with an entry date of October 2018

In the "Research proposal and Funding" section of your application, please specify the project title and supervisors of this project and copy the project description in the text box provided.

Please select “No, I am not self-funding my research” when asked whether you are self-funding your research.

Please add “EPSRC Doctoral Training Partnership PhD in Mathematics" when asked "Please provide the name of the funding you are applying for".

Shortlisted candidates will be invited for interview after the closing date

How good is research at Cardiff University in Mathematical Sciences?

FTE Category A staff submitted: 24.05

Research output data provided by the Research Excellence Framework (REF)

Click here to see the results for all UK universities

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