My research focuses on interactions of the following mathematical subfields:

• Mathematical billiards

• Hamiltonian dynamics

• Symplectic dynamics and quantitative symplectic geometry

• Nonlinear partial differential equations 

• Infinite dimensional geometry

Preprints and publications

1. Magnetic billiards and the Hofer-Zehnder capacity of disk tangent bundles of lens spaces.
   (j.w. J.Bimmermann, arxiv, submitted )

2. The Hopf-Rinow Theorem and the Mañé Critical Value for magnetic geodesics on odd-dimensional Spheres.  (j.w. P. Albers, G. Benedetti, appearing soon; preprint available upon request) 

3. On Mañé's Critical Value for the two-component Hunter-Saxton System.  (In preparation, video, poster )

4. Magnetic Geodesics on infinite dimensional Pseudospheres and global weak solutions to the magnetic Hunter-Saxton System . (In preparation.)