Complex Analysis, Harmonic Analysis, Operator Theory, Hilbert spaces of analytic functions, Jacobi matrices, scattering
Inverse scattering for Jacobi and CMV matrices.
Functional models (Nagy- Foias ,de Branges- Rovnyak, Hellinger). Interpolation in classes of analytic and harmonic functions. Problems of Complex Analysis involving geometry of operators on Hilbert space are of particular interest.