Theory of relativistic effective core potentials (RECPs or pseudopotentials) for high precision calculations; electronic structure restoration in core regions of heavy atoms-in-compounds after its RECP calculation; embedding potential;

high-precision calculations of molecules; electronic structure of heavy-atom systems;
basis sets; methods of correlation structure calculation: many-body perturbation theory, configuration interaction, coupled clusters; relativistic effects; variational principles including those for transition energies (matrices); unitary group for spin-dependent interactions;

P,T-parity non-conservation effects, EDM of electron; hyperfine structure; spectroscopic properties of molecules.

The author and leader of three international projects (INTAS: Israel-Germany-Russia, RFBR-DFG: Russia-Germany, CRDF: Russia-USA) and seven national grants of Russian Foundation for Basic Research, RFBR, Leader of three RFBR grants for “Oriented targeted basic research on key interdisciplinary topics” (RFBR_OFI_M), Leader of Russian Ministry of Education and Science contract 2012-2013, Leader of SPbU Fundamental Science Research grant from Federal budget 2013-2015

The author and leader of three international projects (INTAS: Israel-Germany-Russia, RFBR-DFG: Russia-Germany, CRDF: Russia-USA)