designing devices for nuclear electronics to record elementary particles and photon radiation; 

designing devices for small-size quantum systems, i.e. systems containing structural elements about 1-100 nm in size that determine its basic properties and characteristics: design of nanodevices (nanopumps, nanomotors, nanorobots, nanomannipulators, etc.) and the creation of nanomaterials with specified properties (super strength, super hardness, complete absorption or reflection of electromagnetic radiation, etc.); 

analysis of stochastic dynamics of physical, technical and economic systems with dynamics of which are random in nature; 

The main research goal is the improvement of applied computational methods for solving problems in mathematical physics, probability and statistics theory.

development of software to support the Internet of Things technology with radio resource management of fifth-generation wireless heterogeneous networks;