Researcher

Sonja Hohloch

Research Expertise:1) Integrable Hamiltonian systems and their singularities (elliptic, hyperbolic, focus-focus) and bifurcation behavior; interaction with Hamiltonian S^1-actions. 2) Symplectic geometry, Floer theory and its applications to symplectic and contact dynamics (homoclinic points, growth behaviour). 3) Hyperkähler Floer theory and associated Hamiltonian PDEs on Hilbert spaces; Bubbling-off analysis; non-squeezing etc. 4) Morse theory and its application to n-categories and opetopes. 5) Optimal transport and its application to integrable systems and integer partitions.

Keywords:FLOER HOMOLOGY, INTEGRABLE HAMILTONIAN SYSTEMS, SYMPLECTIC GEOMETRY, Mathematics

Disciplines:Dynamical systems and ergodic theory, Ordinary differential equations, Partial differential equations, Differential geometry, Global analysis, analysis on manifolds, Classical and quantum integrable systems

Research techniques:Techniques based on differential geometry and dynamical systems.

Users of research expertise:Researchers in physics, chemistry, biology, medicine etc. who need background knowledge on the dynamical systems appearing in their work.