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* Quantisation of gauge and constrained theories * Geometric quantisation, coherent state approach * Integrable systems
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– acoustic holography – dynamic polarization holography – polarization-sensitive materials – polarization-holographic elements – art holography
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Nonlinear Phenomena, Solitons in Condensed matter and Optics
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the theory of polarization holography; the regularity of interaction of electromagnetic field with material (Veigert-effect); dynamic polarization holography; polarization holographic memory; polarization-holographic methods of recognition and processing of optical information; polarization holographic elements; image holography.
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Chemoinformatics, chemical graph theory, artificial intelligence in chemistry
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Plasma Astrophysics, Neutron Stars, Pulsars, Compact Objects.
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1. Physics in medicine and biology 2. Spectroscopy of lasing materials 3. Quantum optics with respect to quantum computation
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Physics of metal-hydrogen systems devoted for the energy storage. Mathematical foundation of the processes developed in the interstitial solid solutions.
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homological and homotopical algebra, K-theory, cyclic homology, algebraic topology.
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Category Theory
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