Nikolov, Nikolai
Several complex variables
Several complex variables
Several complex variables, Analysis on complex and almost complex manifolds, Complex differential geometry, Twistor theory.
Differential geometry of Riemannian manifolds, differential geometry of surfaces and hypersurfaces in Euclidean or Minkowski spaces, local theory of surfaces in pseudo-Euclidean spaces with neutral metric.
Approximations by rational functions in the complex plane: Pade approximation, best rational approximation, orthogonal polynomials, rate of approximation; complex analysis, potential theory, numerical analysis, mathematical modelling.
Fractional Calculus, Special Functions, Integral Transforms, Differential Equations.
Infinite-dimensional topology, Geometric Tomography/Topology, Geometry of Banach spaces, Convexity, Topological vector spaces, Selection theory.
Fractional calculus; Fractional differential and integral equations: operator-theoretical approach, qualitative properties of solutions. Convolutional calculus: Duhamel-type representations for nonlocal boundary-value problems.
Complex differential geometry, algebraic geometry, global analysis.