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Integer Optimisation

  • Full or part time
  • Application Deadline
    Friday, March 15, 2019
  • 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 working on this theme.

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.

The doctoral training will also include courses in combinatorial and convex optimisation provided by the NATCOR network. The courses will take place in the University of Southampton and Edinburgh University.

Funding Notes

UK Research Council eligibility conditions apply.
Full awards (UK/EU fees plus maintenance stipend) are open to UK Nationals and EU students who can satisfy UK residency requirements. To be eligible for the award, EU Nationals must have been in the UK for at least three 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 online application service for October 2019.

In the research proposal section of your application, please specify the project title and supervisors of this project and copy the project description in the text box provided. In the funding section, please select "I will be applying for a scholarship / grant" and specify that you are applying for advertised funding from EPSRC DTP.

If are applying for more than one Cardiff University project please note this in the research proposal section.

Related Subjects

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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