Prof P Jorgensen
No more applications being accepted
Competition Funded PhD Project (Students Worldwide)
About the Project
Surfaces have been studied by mathematicians for centuries, and one of the important tools is to divide a surface into many small triangles glued together along the edges. Such `triangulations’ have many surprising properties, linking to areas of mathematics far outside geometry.
Specifically, this project is about links between triangulated surfaces, algebra, and combinatorics. From a triangulated surface, one can obtain a so-called ’cluster algebra’ which is a collection of polynomials with very strong symmetries and interesting combinatorial properties.
One can also construct a so-called ’cluster category’ which contains even more information than the cluster algebra. The project will use triangulated surfaces to establish new, deeper links between cluster algebras and cluster categories. Along the way, these tools will be used to derive new results about positive integers.
Successful applicants will also be given the opportunity to complete teaching and demonstrating duties within the school amounting to up to £1500 per annum.
Funding Notes
This studentships is available to UK/EU and International candidates, who have/expect a 2:1 honours degree in computing science, mathematics, physics, statistics or another strongly quantitative discipline, or an international equivalent.
Applicants whose first language is not English require a minimum of IELTS 6.5. International applicants may require an ATAS (Academic Technology Approval Scheme) clearance certificate prior to obtaining their visa and to study on this programme.
The studentship includes tuition fees, a tax-free stipend of (up to) £14,296pa (16/17 level), a desktop computer, and £1500 travel allowance.
Continue with Facebook
