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Finite noncommutative Riemannian geometries

  • Full or part time
  • Application Deadline
    Applications accepted all year round
  • Competition Funded PhD Project (Students Worldwide)
    Competition Funded PhD Project (Students Worldwide)

Project Description

The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing either in September 2019 for students seeking funding, or at any point in the academic year for self-funded students. The deadline for funded applications is 31 January 2019.

This project will be supervised by Professor Shahn Majid.

Noncommutative geometry was developed in recent years as an extension to geometry to allow the `coordinate algebra’ of a space to be noncommutative and/or for differential forms to not commute with coordinates. In recent years, most constructions for differential geometry, including Riemannian geometry, have been formulated algebraically and can be applied over any field. The project will construct a new generation of models where the algebra is finite-dimensional (such as the algebra of functions on the vertices of a finite graph, or matrix algebras equipped with further structure) with an aim towards classification. Some computer methods will likely be needed as models can be complicated to solve by hand, but after that the project can either go towards pure mathematics such as `finite Lie theory’ or results in graph theory, or it can go towards applied mathematics, such as finite models of quantum gravity (depending on the interests of the student).

The application procedure is described on the School website. For further inquiries please contact Prof. Shahn Majid at . This project is eligible for full funding, including support for 3.5 years’ study, additional funds for conference and research visits and funding for relevant IT needs. Applicants interested in the full funding will have to participate in a highly competitive selection process.

Funding Notes

This project can be also undertaken as a self-funded project, either through your own funds or through a body external to Queen Mary University of London. Self-funded applications are accepted year-round.

The School of Mathematical Sciences is committed to the equality of opportunities and to advancing women’s careers. As holders of a Bronze Athena SWAN award we offer family friendly benefits and support part-time study. Further information is available here. We strongly encourage applications from women as they are underrepresented within the School.

We particularly welcome applicants through the China Scholarship Council Scheme.

References

S. Majid, Noncommutative differential geometry, LTCC Lecture Notes Series: Analysis and Mathematical Physics, eds. S. Bullet, T. Fearn and F. Smith, World Sci. (2017) 139-176

Related Subjects

How good is research at Queen Mary University of London in Mathematical Sciences?

FTE Category A staff submitted: 34.80

Research output data provided by the Research Excellence Framework (REF)

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