Rangachev, Antoni
Algebraic geometry and commutative algebra, and their interactions with deformation theory and singularity theory.
Petrov, Peter
My research has been in the area of arc and jet schemes, motivic integration, and their applications to singularities, such as Nash problem. Also, I am working in topology of complements of algebraic sets, including generalizations of Zariski - van Kampen theorem for higher homotopy groups, and hyperplane arrangements. Recently started my interest in applications of singularities of differentiable maps to medical imaging.
Nikolov, Nikolai
Several complex variables
Muskarov, Oleg
Several complex variables, Analysis on complex and almost complex manifolds, Complex differential geometry, Twistor theory.
Milousheva, Velichka
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.
Kovacheva, Ralitza
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.
Kiryakova, Virginia
Fractional Calculus, Special Functions, Integral Transforms, Differential Equations.
Barov, Stoyu
Infinite-dimensional topology, Geometric Tomography/Topology, Geometry of Banach spaces, Convexity, Topological vector spaces, Selection theory.