Theory, mathematical and computer modeling of processes of phase and structural transformations, thermodynamics and kinetics of formation, growth and Ostwald ripening of excess phases, recrystallization, evolution of distribution function of dispersed systems, modification of cast metal, deformation-heat treatment of steels and alloys of Al-Si system. Computer natural language processing for inflectional type of language for analysis and synthesis of text in natural languages ​​and automatic creation of graph databases and knowledge bases of ontological type, automatic construction of formal queries to ontologies based on natural language phrases, creation of multiagent software systems.