1. Microscopic calculations of EC/β⁺-decay half-lives for nuclei along the α-decay chain of ²⁸⁸Mc.
   
   Investigation of the anomalous behavior of the moment of inertia in well deformed light nuclei.
   
   Calculation and analysis of the double-gamma decay widths of quadrupole states of medium-heavy and heavy nuclei.
   
   Study of relativistic corrections to the symmetric nuclear matter and pure neutron matter equations of state based on the modified Fayans functional.
   
   Study of the nature of low-lying 2⁺, 1⁺ and 0⁺ states in axially symmetric nuclei by the Wigner function moments method. Calculation of energies, excitation probabilities and the corresponding currents.
   
   Analysis of the contribution of 3 particle - 3 hole configurations in the formation of isoscalar giant monopole resonance of ⁴⁸Ca.
   
   Study of the collective dynamics in nuclei from different mass regions within the framework of the proton-neutron symplectic model.
   
   Study of non-adiabatic effects in the properties of the negative parity bands of the ²³⁸U nucleus.
   
   Study of the possibility of constructing an energy density functional that allows describing the nucleus-nucleus potential.
    
2. Prediction of the energies of 2⁺₁ states in superheavy nuclei.
   
   Study of the structure of low-lying states and electromagnetic transitions in odd-proton nuclei in alpha-decay chains of superheavy nuclei.
   
   Formulation of the collective model with pairing and alpha-particle type correlations. Description of the lowest states of transient nuclei.
   
   Suggestion of the method for calculating the pre-equilibrium emission of clusters in the collision of heavy ions to analyze the mechanism of incomplete fusion of nuclei. Calculation of the angular and energy distributions of these clusters.
   
   Investigation of reactions for obtaining superheavy elements 119 and 120. Study of the isotopic dependence of the complete fusion cross section.
   
   Prediction of the fission properties of superheavy nuclei. Consideration of fission from isomeric states. Study of the influence of the shape of the scission configuration of a fissioning nucleus on the dynamics of fragments.
   
   Investigation of the possibility of obtaining exotic nuclei in cluster transfer reactions.
   
   Application of the quantum-diffusion approach to the description of astrophysical fusion reactions.
   
   Description of one-nucleon transfer reactions in ⁹Be + ³He collisions.
   
   Description of the ⁸He structure within the five-body approach.
   
   Study of the effects of spin-orbit interaction on the transport properties of nanosystems (graphene, quantum dots, wires). Features of the qubit embedded in the thermostat.
    
3. Investigation of the structural features of light weakly bound nuclei. Time-dependent numerical analysis of breakup reaction of halo nuclei within the quantum-quasiclassical approach.
   
   Effect of the supernova explosion mechanism in neutrino spectra and prospects for observations by large-volume telescopes.
   
   Regularization of the three-body problem with contact and singular interactions at the triple collision point.
   
   Investigation of diatomic molecule alignment in two-color laser fields.
   
   Determination of the limit of probabilities of ionization and excitation of atoms by the laser field at a carrier frequency tending to zero.
   
   Establishment of quantum speed limits for the subspace evolution governed by time-dependent Hamiltonians.
   
   Investigation of low-energy electron-neutron scattering.
   
   Development of a method for locating extremely narrow resonances and calculating their parameters.
   
   Analysis of strong-field atomic dynamics within quantum quasi-classical approach including the center of mass motion.
   
   Study of the problem of “tunneling time” in laser ionization of atoms by the method of Bohmian (quantum) trajectories.
   
   Development of a method for calculating the parameters of the generalized optical potential model via a scattering matrix of the incoming wave boundary condition model for sub-barrier fusion heavy ion reactions.
4. Analysis of the pi-mesons, proton- and nucleus-nucleus scattering cross-sections in the region of collision energies from 30 MeV to 1 GeV based on the development of appropriate models of microscopic optical potential.
   
   Analytical calculations of the lepton g-2 anomaly.
   
   Investigation of the finite-temperature behavior of ghost and gluon propagators within an approach based on the rainbow truncated Dyson-Schwinger equations in the Landau gauge.
   
   Study of essentially multi-photon quantum processes in interaction of ultra-relativistic electrons with polarized intense laser pulses. Finding of observables that are sensitive to the dynamics of multi-photon processes, for example, differential distributions of Compton photons and electron-positron pairs formed in electron-laser interaction.
   
   Development of methods of nonextensive statistical mechanics applied to describe the particle production and transverse momentum distributions of hadrons in heavy-ion and proton-proton collisions.
   
   Construction of a model for describing short-range quasideuteron correlations in nuclei and its application for describing of proton-nucleus reactions at relativistic energies, including knockout of the correlated pn-pair and cumulative production.
   
   Development of relativistic methods to study the polarized elastic proton-deuteron scattering at high energies.
   
   Investigation of the cross sections of Y absorption and Y production in BB-collisions in the framework of the covariant quark model with SU(5) Lagrangian including anomalous interactions. Investigation of two-photon decays and Dalitz-decays of light mesons in the framework of the NJL model at finite temperature and baryon density.
   
   Analysis of the Bethe-Salpeter solutions in coordinate space, establishing some patterns and investigation of abnormal solutions.

 Collaboration