Detailed three-dimensional numerical analysis of the main characteristics of superconducting magnets within the NICA and NEW NUCLOTRON projects. Simulation of the operating modes of the MSC230 future isochronous cyclotron.

Development of methods and software packages for the symbolic-numerical research of: processes (expansion of matter, crater formation, ablation) in materials under the action of ultrashort laser pulses; nuclear interactions (calculation of their characteristics, comparison with experimental data and theoretical estimates); stochastic kinetic models; models of complex systems in condensed matter physics.

Development of effective approximation, smoothing and numerical integration algorithms based on the basic element method (BEM).

Simulation of 5CB and 8CB nematic liquid crystals under the influence of orienting forces.

Development of techniques for modeling the irradiation of complex structure targets with high-energy particles on the basis of the complex optimization of parallel algorithms and programs of molecular dynamics and of the continuous-atomistic method.

Adaptation and application of the separated formfactors method for the study of the vesicular structure of phospholipid-based nanodrugs from small-angle scattering data.

Simulation of the temperature evolution of neutron stars with strong magnetic fields, taking into account additional heat sources. Application of the Bayesian inference method for constructing the mass spectra of isolated neutron stars from multichannel astronomy data.

Investigation of the properties of diquarks and baryons in dense and hot nuclear matter, their effect on the birth of strangeness. Theoretical description and numerical simulation of gg → ππ gluon scattering processes in heavy-ion collisions.

Geant4 package-based analysis of the strange particle yield in hadron-hadron and nucleus-nucleus collisions within the BM@N and MPD experiments. Modeling of pp interactions in the SPD experiment within the hadronic programs QGS and FTF of the Geant4 package, in particular, the production of charmed particles.

Development and support of the Monte-Carlo generator of heavy-ion collisions, DCM-QGSM-SMM, and its application to the analysis of physical effects measured at the BM@N, SRC and MPD facilities.

Algorithmic and software support for the MPD experiment: automation of the indication and removal of obsolete packages and of their dependencies during automated builds of nicadist for mpdroot. 

Algorithmic and software support for the BM@N experiment: modeling of detector signal responses, restoration of spatial coordinates, data reconstruction in new configurations of track detectors (runs 2022-2023); geometric alignment of detectors.

Testing and debugging, in line with user requirements, and commissioning of the configuration, geometric information systems, and the database of physical event metadata, for the NICA experiments.

Software support for the ATLAS experiment: refinement of the ATLAS Event Picking Service and commissioning of the second version of the service; adaptation of the CREST information system for work in the ATHENA software environment, development of operational monitoring of the TDAQ system based on GRAFANA9.

Development and improvement of the algorithms and methods for reconstructing the trajectories of charged particles in the cathode-strip chambers, assessment of the spatial resolution of cathode-strip chambers in the CMS experiment Run3 data (2022–2023).

Development of data processing system software for the Baikal-GVD project.

Monte-Carlo simulation of the background counting of the scintillation-tungsten component of the OLVE-HERO detector.

Development of the SAS software package for the primary processing of data obtained on the small-angle neutron scattering spectrometer with the multidetector system (modernization before the start of the reactor).

Development of a web application designed to fit data obtained in the study of the crystallographic texture of various objects using neutron diffraction and other state-of-the-art methods of neutronography.

Application of artificial neural networks and cellular automata in tasks of experimental data processing.

Development of neural network algorithms for the recognition, segmentation and classification of brain cells and behavioral patterns of laboratory animals.

Development of machine and deep learning methods for: event reconstruction in the MPD, BM@N and SPD experiments; analysis of fine structures in the mass distribution of nuclear reaction products in experiments with transuranic elements; study of nanocomposite thin films using neutron and X-ray reflectometry methods; plant disease detection tasks; environmental monitoring.

Further development of hp-adaptive high-precision methods for solving elliptic problems on multicore computers and development of highly scalable parallel algorithms for spatial problems of magnetostatics.

Development of methods and programs for integrating multidimensional functions using neural networks in the case of functional limits.

Calculation of the adsorption characteristics of superheavy atoms at the surface of gold by density functional theory methods using the AMS computing software package on the “Govorun” supercomputer.

Development of algorithms to calculate sub-barrier fusion reactions of heavy nuclei within the channel coupling method.

Development of digital methods to assess the growth rate of rounding errors in a uniform metric using the REDUCE system on the “Govorun” supercomputer.

Development of methods and software tools to solve service and applied tasks using the technologies of Big Data processing and data mining.

Elaboration and development of methods for storage, processing and physical analysis of data for the experiments of the NICA megaproject within the Big Data approach.

Development of quantum algorithms and their implementation in the environment of quantum computing simulators for the investigation of the electron shells of superheavy element atoms, for experimental data processing and analysis, as well as for the intelligent control of different systems.

Development of embedded quantum intelligent regulators for use as control modules of different robotic devices. Development of a prototype of a quantum intelligent regulator for the coordinated control of the pressure and consumption of nitrogen and helium during the automated cooling of a superconducting magnet (different emergency situations included).

Development and testing of an intelligent system for controlling the modes of the high-frequency stations of the Nuclotron of the NICA accelerator complex on the basis of the principles of quantum software engineering.

Modeling of quantum algorithms on simulators using classical computing architectures (CPU, GPU) to solve the problem of calculating the structure of the electronic spectrum of simple molecules.

Numerical study of the role of collective information in networks of quantum agents.

Development of algorithms for the constructive decomposition of quantum systems into subsystems using computer algebra methods and computational group theory.

Derivation of criteria for the reducibility of polynomials to zero based on machine learning methods.

Development of a software package for analytical computations of one-loop Feynman integrals entering the light-by-light scattering processes, gg→WW, hh→ZZ, hh→ZH, gg→hh.

Simulation of the real time non-equilibrium evolution and quantum phase transitions in the two-dimensional quantum Ising model on a quantum computer.

Creation of a software package for the fast generation of arbitrary rank random qudit density matrices.

Modeling of quantum registers and quantum logic gates based on quantum dots of complex geometry.