quantum groups, Black holes, Quantum gravity, Noncommutative geometry, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Poisson geometry, Geometry of quantum groups, quantum gravity, Noncommutative geometry in quantum theory, Methods of noncommutative geometry in general relativity, Monoidal functor, noncommutative geometry, Geometry and quantization, symplectic methods, symplectic connection, Symplectic connection, Quantum groups and related algebraic methods applied to problems in quantum theory, Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices, monoidal functor