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Professor John Rawnsley

 

Title   

Professor
 

Contact   

Mathematics
University of Warwick
Coventry
CV4 7AL
Tel: 024 7652 3595
Email: J.Rawnsley@warwick.ac.uk
WebLink: http://go.warwick.ac.uk/jhrawnsley/

Research Interests

  • 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 the quantization of Kaehler manifolds and coherent states.
  • Deformation Quantization: Construction of star products and comparison with other methods of quantization. Classification of star products and special star products.
  • Geometry of Symplectic and Poisson Manifolds: Curvature properties of symplectic connections.
  • Differential Geometry of Homogeneous Spaces: The extension of methods and results from symmetric spaces to other classes of homogeneous spaces. Properties of non-Riemannian symmetric spaces.
  • Twistor Theory: Development of twistor-like theories for some classes of even-dimensional manifolds. Connections with special curvature.
     

Publications

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