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Subelliptic Operators and Harmonic Analysis

  • 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

Several problems and results of harmonic analysis are related to the Laplace operator, its spectral theory and functional calculus. In fact, it is often possible to replace the Laplace operator with a more general elliptic operator. However, in various contexts, particularly on noncommutative Lie groups and sub-Riemannian manifolds, the natural substitute for the Laplace operator need not be elliptic, and it may be just subelliptic. Here new and interesting phenomena arise, many basic questions are far from being completely understood, and the known results typically involve a combination of tools from different areas of mathematics, such as evolution equations, representation theory, differential geometry.

Funding Notes

This research project is one of a number of projects in the School of Mathematics. It is in competition for funding with one or more of our advertised PhD projects. Usually the project which receives the best applicant will be awarded supported.

Normally scholarships are only available to UK or EU citizens. Other nationals who are normally resident in the UK or those who have been resident in the UK for a period of 3 years or more are also eligible.

All students with the correct qualifications and access to independent funding are also welcome to apply.

Related Subjects

How good is research at University of Birmingham in Mathematical Sciences?

FTE Category A staff submitted: 40.00

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

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