Quantum differential geometry and applications

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 s.majid@qmul.ac.uk. 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.