My current research area concerns mathematical physics and dynamical systems. I am interested in direct and inverse spectral theory for differential and difference operators in connection with completely integrable nonlinear wave equations. In particular, I am studying Schrödinger and Jacobi operators and their connections with the Korteweg-de Vries and Toda hierarchies of nonlinear evolution equations.

My research is funded by the Austrian Science Fund (FWF). Further information can be found on the corresponding project pages:

More precisely, my interests can be split up as follows:

Applied Functional Analysis

Ordinary Differential Equations

Nonlinear Dynamics

Applied Algebraic Geometry

Linear and Nonlinear Partial Differential Equations

Biomathematics

A complete list of publications (including TeX/DVI/PDF versions for downloading) is available.