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Tropical matrix algebra and representations


Project Description

Tropical matrices are matrices over the max-plus semiring - the real numbers equipped with the operations of maximum and summation. Matrices in this theory carry a special combinatorial structure, as they correspond uniquely to weighted digraphs, and therefore compose in graph theory. These matrices have a rich structure that permits an incorporation of methods from combinatorics that usually involve sophisticated computational aspects, but become simpler in the tropical setting. The project focuses on advanced matrix theory, including also combinatorial meanings in graph theory, and tropical representation theory.

Candidates should have (or expect to achieve) a UK honours degree at 2.1 or above (or equivalent) in Mathematics.

It is essential that the successful applicant has a background in Ring and group theory, Advance linear algebra and Representation theory.

APPLICATION PROCEDURE:

• Apply for Degree of Doctor of Philosophy in Mathematics
• State name of the lead supervisor as the Name of Proposed Supervisor
• State ‘Self-funded’ as Intended Source of Funding
• State the exact project title on the application form

When applying please ensure all required documents are attached:

• All degree certificates and transcripts (Undergraduate AND Postgraduate MSc-officially translated into English where necessary)
• Detailed CV
• Details of 2 academic referees

Informal inquiries can be made to Dr Z Izhakian () with a copy of your curriculum vitae and cover letter. All general enquiries should be directed to the Postgraduate Research School ()

Funding Notes

This project is advertised in relation to the research areas of the discipline of Mathematics. The successful applicant will be expected to provide the funding for Tuition fees, living expenses and maintenance. Details of the cost of study can be found by visiting View Website. THERE IS NO FUNDING ATTACHED TO THESE PROJECTS.

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