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Research Interests

Table of Contents

Most of my research is in differential geometry. I started out working on quaternionic geometries, and am still very much interested in this area, particularly the links with moment maps, Einstein metrics, supersymmetry, torsion geometry, duality and other physics-inspired ideas. I particularly enjoy being able to apply techniques from the theory of Lie groups to these fields.

I studied at Oriel College, Oxford University, from 1983 to 1990 obtaining BA, MA and D.Phil. degrees in Mathematics (thesis and dissertations), the latter supervised by Simon Salamon. The last two years in Oxford I held college lectureships at Oriel College and then Lady Margaret Hall. Thereafter I spent two years as a postdoc in Odense and one year at the Max-Planck-Institut für Mathematik in Bonn. Until 1995 I was adjunkt (Assistant Professor) in Odense and then I moved to the University of Bath to take up a lectureship in Pure Mathematics. I returned to Odense, now the University of Southern Denmark, in 1999 as lektor (Associate Professor). In 2011, I started my current position as lektor (Associate Professor) at the University of Aarhus, where I am a member of the geometry/topology group.

I am a member of the Editorial Advisory Board for the Bulletin, Journal, Proceedings and Transactions of the London Mathematical Society (submission guidelines) an editor of Differential Geometry and its Applications and Coordinating Editor for Mathematica Scandinavica. I served on the board of the Danish Mathematical Society from 2000 to 2008.

Publications and Talks

Here are my research papers collected by subject area.

Some of these topics have been presented in various talks.

Various lists of my publications include: MathSciNet, arXiv.org, orcid.org/0000-0002-1812-1009.

Research Students

  • Thomas Bruun Madsen (co-supervisor Martin Svensson):
    • Qualifying report `Torsion geometry and scalar functions', University of Southern Denmark, 2009, IMADA preprint PP-2009-17,
    • Ph.D. thesis `Torsion geometry and scalar functions', University of Southern Denmark, 2011 (pdf version).
  • Helge Riis Jørgensen:
    • Ph.D. thesis, `Three-contact structures and neutral Einstein metrics', University of Southern Denmark, Odense 2005 (pdf version).
  • Martin Villumsen:
    • Qualifying report `HyperKähler Metrics and Nilpotent Orbits', University of Southern Denmark, Odense 2003,
    • Ph.D. thesis `HyperKähler metrics and nilpotent orbits', University of Southern Denmark, Odense 2005 (pdf version).
  • Richard Cleyton (co-supervisor Henrik Pedersen):
    • Master's thesis `The Seiberg-Witten Invariants', Odense 1996,
    • Qualifying report `Quaternionic Seiberg-Witten Equations and G2-Structures', Odense 1998,
    • Ph.D. thesis `G-structures and Einstein Metrics', Odense 2001 (pdf version).
  • Anders Bisbjerg Madsen (co-supervisor Henrik Pedersen):
    • Ph.D. thesis `Compact Einstein-Weyl manifolds with large symmetry group', Odense, 1995.

Conference Pages

Author: Andrew Swann

Created: 2017-03-06 Mon 12:47

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