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  The interplay between groups, dynamical systems, and operator algebras


   School of Mathematical Sciences

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  Dr X Li  Applications accepted all year round

About the Project

The School of Mathematical Sciences of Queen Mary University of London invite applications for a PhD project commencing either in January 2017 or September 2017 for students seeking funding, or at any point in the academic year for self-funded students.

This project will be supervised by Dr Xin Li.

Recently, new and very interesting connections between C*-algebras, topological dynamics and geometric group theory have been discovered.

The main goal of this project is to study the fundamental concepts of Cartan subalgebras on the C*-algebraic side and continuous orbit equivalence on the dynamical side. Each of these notions have not been studied in detail before, and there are many interesting and important questions which are not well-understood, for instance rigidity phenomena.

We expect progress made in the context of this project to have a huge impact on establishing a fruitful interplay between C*-algebras, topological dynamics and the geometry of groups. The theme of this research project has the potential of shedding some light on long-standing open problems. At the same time, it leads to many interesting and feasible research problems.

Full details can be found in the project abstract: http://www.maths.qmul.ac.uk/sites/default/files/PhD%20Projects%202016/Geometry%20and%20Analysis/Li%20Project%202017%20%282%29.pdf

The application procedure is described on the School website. For further enquiries please contact Dr Xin Li, [Email Address Removed]. 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. The best candidates will be eligible to receive a prestigious Ian Macdonald Postgraduate Award of £1000, for which you will be considered alongside your application. The application deadline for full funding is November 30th 2016 to start in January 2017, and January 31st to start in September 2017.


Funding Notes

There is also 50% funding scheme available for students who are able to find the matching 50 % of the cost of their studies. Competition for these half-funded slots will be less intensive, and eligible students should mention their willingness to be considered for them in their application. The application deadline for 50 % funding is January 31st 2017.

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.

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