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PhD: Subelliptic Operators and Harmonic Analysis

Employer
Global Academy Jobs
Location
United Kingdom
Closing date
Sep 21, 2016

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Job Details

Details

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.

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Global Academy Jobs works with over 250 universities worldwide to promote academic mobility and international research collaboration. Global problems need international solutions. Our jobs board and emails reach the academics and researchers who can help.

"The globalisation of higher education continues apace, driving in turn the ongoing development of the global knowledge economy, striving for solutions to the world’s problems and educating a next generation of leaders and contributors."

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