Thomas Bruun Madsen


I am currently a Villum Young Investigator, based at Aarhus University

From November 2013 till the end of January 2015, I was a Junior Visitor at Centro di Ricerca Matematica Ennio De Giorgi (Scuola Normale Superiore di Pisa).

Before that  I was a visiting research associate at King's College London responsible to Professor Simon Salamon.

My research field is differential geometry. I particularly enjoy studying Riemannian manifolds defined with reference to the action of a Lie group. Topics of interest include manifolds with exceptional holonomy and Einstein metrics, moment maps and their applications and gauge theory.

Papers

Preliminary versions are available on the arXiv.

Invariant torsion and G2-metrics
by Diego Conti and Thomas Bruun Madsen.
Complex Manifolds, Volume 2 (2015), Issue 1, 140-167.

Harmonic structures and intrinsic torsion
by Diego Conti and Thomas Bruun Madsen.
Transformation Groups, 20 (2015), Issue 3, 699-723.

The odd side of torsion geometry
by Diego Conti and Thomas Bruun Madsen.
Annali di Matematica Pura ed Applicata 193 (2014), Issue 4, 1041-1067.

Half-flat structures on S3xS3
by Thomas Bruun Madsen and Simon Salamon.
Ann. Global Anal. Geom. 44 (2013), Issue 1, 369-390.

Closed forms and multi-moment maps
by Thomas Bruun Madsen and Andrew Swann.
Geom. Dedicata 165 (2013), Issue 1, 25-52.

Multi-moment maps
by Thomas Bruun Madsen and Andrew Swann.
Adv. Math. 229 (2012), no. 4, 2287-2309.

Spin(7)-manifolds with three-torus symmetry
by Thomas Bruun Madsen.
J. Geom. Phys. 61 (2011), no. 11, 2285-2292.

Homogeneous spaces, multi-moment maps and (2,3)-trivial algebras
by Thomas Bruun Madsen and Andrew Swann.
AIP Conference Proceedings 1360 (2011), 51-62.
Proceedings of the XIXth International Fall Workshop on Geometry and Physics.

Invariant strong KT geometry on four-dimensional solvable Lie groups
by Thomas Bruun Madsen and Andrew Swann.
J. Lie Theory 21 (2011), no. 1, 55-70.

Lecture notes

Geometry on groups
by Thomas Bruun Madsen and Andrew Swann.
Preliminary version (2015) is available.

Reports & thesis

From 2007 to 2011, I was a PhD student in mathematics at the University of Southern Denmark. I passed my qualifying exam in 2009 (obtaining MSc degree) and earned my PhD degree in 2011. My research studies were performed under the supervision of Andrew Swann and co-supervision of Martin Svensson.

Torsion geometry and scalar functions
by Thomas Bruun Madsen.
PhD thesis, 2011 (local copy).

Torsion geometry and scalar functions
by Thomas Bruun Madsen.
Qualifying report, 2009 (local copy).

Integration on manifolds
by Thomas Bruun Madsen.
Bachelor thesis, 2006.

Talks

Slides from some of my talks are available:

  • Rome, 2015.
  • Odense, 2015.
  • Turin, 2014.
  • Valencia, 2013.
  • Hamburg, 2012.
  • London, 2012.