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Quantum differential geometry and applications


School of Mathematical Sciences

Wednesday, January 27, 2021 Competition Funded PhD Project (Students Worldwide)

About the Project

The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing in September 2021.

This project will be supervised by Prof. Shahn Majid.

Quantum differential 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. The theory includes Riemannian geometry as well as vector bundles with connection and works over any field. Having recently finished the textbook cited, the project will be particularly open to applications such as to quantum information and quantum geometry in ordinary quantum systems. Other directions could include models of quantum gravity over finite-dimensional algebras or could go in a theoretical direction where the calculus of variations, stress tensor and Einstein tensor remain poorly understood in quantum geometry.

The application procedure is described on the School website. For further inquiries please contact Professor 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

For September 2021 entry: Funding may be available through QMUL Principal's Postgraduate Research Studentships, School of Mathematical Sciences Studentships, and EPSRC DTP, in competition with all other PhD applications.

Studentships will cover tuition fees, and a stipend at standard rates for 3-3.5 years.

We welcome applications for self-funded applicants year-round, for a January, April or September start.

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.

References

E.J. Beggs and S. Majid, Quantum Riemannian Geometry, Grundlehren der mathematischen Wissenschaften, Vol. 355, Springer (2020)

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