Research interests

  • Integrable Hamiltonian systems, in particular (hyper)semitoric systems and their focus-focus and hyperbolic singularities, and interactions with Hamiltonian S^1-actions.
  • Symplectic geometry, Floer theory and its applications to symplectic and contact dynamics (homoclinic points, growth behaviour)
  • Hyperkähler Floer theory and associated Hamiltonian PDEs on Hilbert spaces; Bubbling-off analysis.
  • Optimal transport and its application to integer partitions and integrable systems.
  • Morse theory and its application to integrable systems and n-categories.

  • Symplectic numerics.