Research interests

  • 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.
  • Integrable Hamiltonian systems, in particular semi-toric systems, focus-focus singularities, and Hamiltonian S^1-actions.
  • Optimal transport and its application to integer partitions and integrable systems.
  • Morse theory and its application to n-categories and opetopes.

  • Symplectic numerics.