# 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 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 and was an editorial adviser (2008-2017) for the Bulletin, Journal, Proceedings of the London Mathematical Society and also for the Transactions of the London Mathematical Society (2013-2017).

I am a member of two research centres at Aarhus:

- Centre for Quantum Geometry of Moduli Spaces (QGM)
- Centre for Digitalisation, Big Data and Data Analytics (AU-Digit)

For a list of my Ph.D. students, see the Mathematics Genealogy homepage.

## Publications and Talks

Here are my research papers collected by subject area.

- Quaternionic manifolds and geometry
- Riemannian geometry and G-structures
- Einstein-Weyl geometry
- Applications of differential geometry

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.

## Conference Pages

Some local homepages and links related to conferences I have been involved in organising (links may be old and broken):

- Aarhus, 1995
- Durham Symposium, 2001
- Winter School, 2008
- Winter School, 2009
- Winter School, 2010
- Winter School, 2011
- Differential Geometry Workshop, 2013
- Workshop on Special Geometric Structures, Hamburg, 2014
- DMV Jahrestagung, Hamburg, 2015
- INdAM Workshop "New perspectives in differential geometry", Rome, November 16–20, 2015
- Hitchin 70: