Applied Mathematics
The spectral analysis of differential operators, Dissipative operators, Methods of the spectral analysis, Lax-Phillips scattering theory, Sz.-Nagy-Foiaş characteristic function theory, Methods of functional models, Nonlinear differential equations, Multiparameter spectral theory, Dynamical systems on time scales, Extension theory, Theory of deficiency indices, Weyl theory, Hamiltonian systems, Sturm-Liouville equations with distributional potentials, s-numbers, Trace class operators, Hilbert-Schmidt operators, Fractional analysis
Integrable and superintegrable systems, Numerical solutions of differential equations, Numerical solutions of fractional differential equations, fractional optimal control, mathematical modelling, mathematical biology
Functional Analysis, Topology, Geometry of Banach spaces, Financial Mathematics
Dynamical Systems, Computational Biology, Mathematical Modeling, Hybrid dynamical Systems
Group Theory
