Theory of chemical conversion; Complex and elementary chemical reactions with participation of free radicals; Chemistry of free radicals; Chain reactions; Combustion and explosion in the gas and condensed phases; Synthesis of inorganic materials under condition of combustion; Development of technologies of refractory material production by means of SHS (self-propagating high temperature synthesis) method; Catalytic processes; Heterophase chemical processes; Conversion of solid inorganic compounds under influence of gas phase chain reactions; Photochemical and laser chemical processes, reactions of excited particles; Mathematical modeling and regulation of the chemical processes; Some problems of environmental chemistry.