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Operator Algebras and Noncommutative Geometry

  • Full or part time
  • Application Deadline
    Friday, March 15, 2019
  • Competition Funded PhD Project (European/UK Students Only)
    Competition Funded PhD Project (European/UK Students Only)

Project Description

The application of Operator Algebras and K-theory to understand structural problems arising in statistical mechanics and conformal quantum field theory.
Operator Algebras and Noncommutative Geometry has become a central field in mathematics with applications and connections across mathematics and theoretical physics. The project integrates algebra, analysis, geometry and topology and applications in and drawing inspiration from physical problems – statistical mechanics and conformal quantum field theory. The field is important worldwide with centres in Vanderbilt, Berkeley, UCLA, Harvard, Toronto, Kyoto, Tokyo, Canberra, and Sydney and numerous centres in Europe. The proposer has strong links with all of these – including ongoing collaborations with Gannon in Canada, Grossman at UNSW and Kawahigashi at Tokyo University

Funding Notes

UK Research Council eligibility conditions apply.
Full awards (fees plus maintenance stipend) are open to UK Nationals and EU students who can satisfy UK residency requirements. To be eligible for the award, EU Nationals must have been in the UK for at least three years prior to the start of the course for which they are seeking funding, including for the purposes of full-time education.

References

Applicants should submit an application for postgraduate study via the Cardiff University Online Application Service.

Applicants should select Doctor of Philosophy (Mathematics), with a start date of October 2019.

In the "Research proposal and Funding" section of your application, please specify the project title and supervisors of this project and copy the project description in the text box provided.

Please select “No, I am not self-funding my research” when asked whether you are self-funding your research.

Please add “EPSRC Doctoral Training Partnership PhD in Mathematics" when asked "Please provide the name of the funding you are applying for".

Related Subjects

How good is research at Cardiff University in Mathematical Sciences?

FTE Category A staff submitted: 24.05

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

Click here to see the results for all UK universities

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