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Simon Salamon

Professor Simon Salamon

Professor in Geometry

Research interests

  • Mathematics

Biography

Simon Salamon joined King's College London as Professor of Geometry in 2011. He held an analogous post at the Politecnico di Torino since 2000. After completing a doctorate under Nigel Hitchin, he worked in Maryland, Pisa and Princeton, before taking up a lecturership at the University of Oxford. He was briefly a reader at Imperial College London, and is an emeritus fellow of Trinity College, Oxford. He was Head of the Mathematics Department at KCL from 2013 to 2017.

Research interests

These are mainly in the field of differential geometry, but branching into algebraic geometry and topology. There is emphasis on the study of manifolds, typically Riemannian or almost complex ones, and often defined with reference to the action of a Lie group. The main focus at present is on the construction of Ricci-flat metrics, working within the US-based Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics. Other areas of interest include: 

  • Twistor spaces and projective geometry
  • Almost complex manifolds
  • Quaternionic and exotic geometries
  • Harmonic maps between manifolds
  • Spinors and differential operators
  • Nilmanifolds 
  • Combinatorial geometry
  • Mathematical software and visualization

Further information

    Research

    Geometry research group 780 x 440
    Geometry

    The Geometry Group focuses on topics within the following areas: algebraic geometry, cohomology theories, differential geometry, geometric analysis, homogeneous space, Lie groups, mirror symmetry, and symplectic geometry.

    News

    Ragini Singhal

    Events

    31MayUG Maths

    King’s Geometry seminar: Simon Salamon (King’s College London) - The Horrocks bundle as an instanton

    The Horrocks bundle (not to be confused with the Horrocks-Mumford bundle) is an indecomposable holomorphic rank 3 bundle over CP^5 with c_2=3. It can be...

    Please note: this event has passed.

      Research

      Geometry research group 780 x 440
      Geometry

      The Geometry Group focuses on topics within the following areas: algebraic geometry, cohomology theories, differential geometry, geometric analysis, homogeneous space, Lie groups, mirror symmetry, and symplectic geometry.

      News

      Ragini Singhal

      Events

      31MayUG Maths

      King’s Geometry seminar: Simon Salamon (King’s College London) - The Horrocks bundle as an instanton

      The Horrocks bundle (not to be confused with the Horrocks-Mumford bundle) is an indecomposable holomorphic rank 3 bundle over CP^5 with c_2=3. It can be...

      Please note: this event has passed.