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
Orthogonal Polynomials, Special Functions, Multivariate Functions, Integral Transforms, Sobolev Spaces, Fractional Calculus
Mathematical Biology, Dynamical Systems, Bifurcation and Stability Theory, Deep Learning, Artificial Intelligence
Commutative Algebra, Ring and Module Theory, Cryptography
Dynamical Systems, Computational Biology, Mathematical Modeling, Hybrid dynamical Systems
Group Theory
Algebraic Geometry, Derived Algebraic Geometry, Higher Structures
