The theory of Wiener-Hopf integral equations, The convolution type integral and integro-differential equations, The theory of conservative and stochastic equations, Mathematical physics, Hammerstein type nonlinear equations, Urysohn's equations on half line, Nonlinear analysis
Management of IT infrastructures and applications, Data Science, Machine learning, Applied Statistics and Probability, Neural Networks, Deep Learning, Time Series Forecasting and Anomaly Detection, Recurrent Neural Networks, Interpolations, Approximations, Convergence acceleration, Approximation and Interpolation by Rational Functions, Elaboration of fast algorithms, Numerical methods, Differential and integral equations, Harmonic Analysis
