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Professor Simon Salamon

Simon SalamonTelephone: +44 020 7848 1222

Email: simon.salamon@kcl.ac.uk  

Office: S4.30

Research Group: Professor in Geometry

Personal Website

 

Biography

Simon Salamon joined King's College as Professor of Geometry in 2011. He held an analogous post at the Politecnico di Torino since 2000, and retains strong links with Italian universities. After completing a doctorate under Nigel Hitchin, he worked in Maryland, Pisa and Princeton, before taking up a lecturership at the University of Oxford in 1984. He was briefly a reader at Imperial College London, and is an emeritus fellow of Trinity College, Oxford.

Research Interests

These are mainly in the field of differential geometry and centre around the study of manifolds (typically Riemannian or complex ones) defined with reference to the action of a Lie group:

  • Quaternionic and octonionic geometry
  • Twistor spaces, almost-complex manifolds and harmonic maps
  • Manifolds with exceptional holonomy, and Einstein metrics
  • Spinors and differential operators
  • Nilmanifolds, and special geometries in dimensions 5,6,7,8
  • Complex and conformal geometry

ArXiv preprints

 

Selection of Publications

  • Twistor geometry and warped product orthogonal complex structures (with L. Borisov and J. Viaclovsky), Duke Math. J. 156 (2011), 125–166
  • Orthogonal complex structures on domains in R^4 (with J. Viaclovsky), Math. Ann. 343 (2009), 853–899
  • Generalized Killing spinors in dimension 5 (with D. Conti), Trans. Amer. Math. Soc. 359 (2007), 5319–5343
  • Modern differential geometry of curves and surfaces with Mathematica (by A. Gray, third edition with E. Abbena), CRC Press, 2006
  • Kähler reduction of metrics with holonomy G_2 (with V. Apostolov), Comm. Math. Phys. 246 (2004), 43–61
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