Simon Scott

Simon Scott


  • WC2R 2LS

    United Kingdom

  • 218

Personal profile

Research interests

My research work utilizes concepts from pseudodifferential operators, index theory and non-commutative geometry in the construction of representations of geometric semigroups and categories whose characters define invariants of the background manifold. The character of the index bundle associated to a family of Dirac operators over a Riemann suraface, for example, can be used to enumerate holomorphic maps from the surface into complex projective space, while for manifolds with boundary the characters are connected to gauge groups reoresentations constructed using Grassmannians of elliptic boundary conditions for Dirac operators; this is closely tied in with ideas from quantum and conformal field theory.

Research interests (short)

Traces of fourier integral operators; geometric analysis; geometry; lie theory.

Education/Academic qualification

Doctor of Philosophy, Determinants of Dirac operators over a manifold with boundary, University of Oxford

Award Date: 1 Jan 1993


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