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Integer Optimisation


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.

HOW TO APPLY

Applicants should submit an application for postgraduate study via the online application service http://www.cardiff.ac.uk/study/postgraduate/research/programmes/programme/mathematics



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

Funding Notes

We are interested in pursuing this project and welcome applications if you are self-funded or have funding from other sources, including government sponsorships or your employer.

In the funding section, please select the ’self -funding’ option and specify the project title

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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