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1. Probing the properties of strongly interacting matter at non-zero temperatures and densities in heavy ion beam experiments. Study of baryonic matter near the nuclear liquid-gas phase transition on the HADES detector. As part of the international research infrastructure FAIR (Facility for Antiproton and Ion Research).
2. Neutrino properties measurement with ARCA and ORCA neutrino telescopes (KM3NeT Collaboration, located at the bottom of the Mediterranean Sea).
3. High precision mass measurement of heavy and superheavy elements and laser spectroscopy of heavy and superheavy elements produced in fusion reactions with heavy ion beams.
4. Measurement of effective cross sections in X(n, a)Y reactions, where X (Fe, Ca, etc.) are elements present on a large scale in nuclear technology and the human body.
5. Spectroscopy of gamma rays, neutrons and alpha particles.
6. Study and application of mathematical ideas and methods of catastrophe theory in physics, especially in the theory of electromagnetic radiation. Vavilov-Cherenkov radiation, cuspoid radiation, synchrotron radiation, transition radiation, undulator radiation, parametric radiation etc.

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