Main research fields:
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The theory of polynomial and analytic mappings on Banach spaces
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Spectral theory of unbounded operators and locally convex operator algebras
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Differential-geometric, topological and algebraic structures associated with nonlinear
dynamical systems on finite-dimensional and functional manifolds
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Geometry of momentum mapping, geometry of symplectic, Kahler, hyperkahler, spinor and Poisson manifolds
- Geometric, topological and combinatorial theory of graphs