Creation of highly efficient, environmentally friendly, energy- and resource-saving technologies and equipment in the mechanical engineering, chemical, light, oil refining, and construction materials industries, development of object-oriented structural and process modelling systems, and ensuring the quality and reliability of advanced equipment;

Thermodynamic, physical and chemical processes and phase transformations in metallurgical and casting technologies;

Study of the regularities of structure formation and properties of single crystals, amorphous, metallic and composite materials, compounds and coatings;

Chemical and chemical-technological processes and the creation of new substances, materials and compositions based on them, including biologically active ones, through the integrated use of new and traditional raw materials, waste-free and environmentally friendly technologies;

Methods and means of saving primary energy resources and ensuring environmental safety of energy generating technologies. New highly efficient types of resource-saving heat and power equipment;

Methods of managing the production, transmission, distribution, conversion and consumption of electricity. Management of energy efficiency;

Highly efficient technological processes of welding and welded structures, restoration of machine parts, creation of high-performance equipment, welding materials, control and management tools;

Modern methods of information processing, principles of building high-performance computer systems and networks, advanced information technologies for information processing, diagnostics and management in complex organisational and technical systems;

Hardware, mathematical and software of digital systems in modern information technologies. Methodology and methods of building intelligent information and network technologies, databases and knowledge;

Microwave devices and systems for special and general applications;

Software and hardware systems for recognising audio and video signal patterns;

Advanced telecommunication systems and technologies based on modern microwave and digital electronic equipment;

Processes and phenomena in the fields and environments of creating highly efficient electronic devices, devices, systems and networks on their basis;

Methods of structural and parametric optimisation of electrodynamic systems and creation of the latest radio engineering, electroacoustic, electronic devices;

Physical, mechanical, electromagnetic and gravitational interactions in information and measuring instrumentation systems for technical and medical applications;

Methods of modelling, monitoring and forecasting the effects of dynamic pollution processes in the environment;

Scientific and technical basis for the development of medical products;

Physics of semiconductors, solid-state magnetic and non-magnetic nanostructures, and the condensed state;

Fundamental problems of function theory and functional analysis, mathematical physics.