• Development of the theory and new methods of interpretation of geophysical fields and processes.
• Development of new methods and parallel algorithms for solving direct and inverse problems of geophysics.
• Spatio-temporal features of variations in the geomagnetic field and their relationship with the structural and dynamic characteristics of the earth's crust of the Urals;
• Determination of optimal classes of functions for analytical approximation of the gravitational field.
3-D geophysical models of Earth crust creation.