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Homepage of Ralph Klaasse

Ralph Klaasse
Personal details.

I am a postdoctoral researcher in the geometry group of the Université libre de Bruxelles, working with Joel Fine. I obtained my Ph.D. from Utrecht University under supervision of Gil Cavalcanti, and was a member of the Geometric Structures group led by Marius Crainic.

Links to: arXiv preprints, and Google scholar.

Research interests.

My research interests consist mainly of Poisson geometry and generalized complex geometry, specifically the usage of Lie algebroids to extend symplectic techniques to this setting. Moreover, I am interested in surrounding areas such as symplectic geometry, Seiberg-Witten gauge theory, Dirac geometry, index theory, and low-dimensional topology.

Papers and preprints.
  1. Fibrations and log-symplectic structures, arXiv:1606.00156 (with Gil Cavalcanti). To appear in Journal of Symplectic geometry.
  2. Fibrations and stable generalized complex structures, arXiv:1703.03798 (with Gil Cavalcanti). Submitted.
  3. Classification of boundary Lefschetz fibrations over the disc, arXiv:1706.09207 (with Stefan Behrens, Gil Cavalcanti). To appear in Geometry and Physics: A Festschrift in honour of Nigel Hitchin, Oxford University Press.
  4. Geometric structures and Lie algebroids, arXiv:1712.09560. Utrecht University Ph.D. thesis.
Below is a list of papers that are currently in preparation.
  • Poisson geometry on ideal Lie algebroids.
  • Dirac and generalized complex geometry on ideal Lie algebroids.
  • Rigged algebroids and Poisson cohomology (with Melinda Lanius).
  • Splitting theorems for A-Poisson structures (with Melinda Lanius).

Départment de Mathématique
Université Libre de Bruxelles
CP 218, Boulevard du Triomphe
B-1050 Bruxelles, Belgique


Phone: +32 (0) 2 650 5837