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Developing novel algebraic and geometric methods that can be successfully applied to study integer optimisation problems


Project Description

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.
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

The project is open to self funded or sponsored applicants only

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).

In the research proposal section of your application, please specify the project title and supervisors of this project.

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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