Research Topics

 

Geometric Quantization
Quantization of symplectic manifolds with applications to the quantization of general classical mechanical systems and the geometric realisation of representations of Lie groups. My recent work has been on properties of star products. Prior to that I worked on the quantization of Kaehler manifolds.
 
Deformation Quantization
Construction and classification of star products and comparison with other methods of quantization. Symmetries of star products.
 
Geometry of Symplectic Manifolds
Construction of symplectic connections with special properties and applications.
 
Differential Geometry of Homogeneous Spaces
The extension of methods and results from symmetric spaces to other classes of homogeneous spaces.
 
Twistor Theory
Development of twistor theories for even-dimensional manifolds, in particular symplectic manifolds.

Research

These personal web pages are the responsibility of John Rawnsley and do not necessarily represent the views of the University of Warwick.

 

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