Gutev, Valentin
Research interests: Set-valued mappings, selections, hyperspaces, absolute extensors and retracts, embedding-like properties, finite-dimensional and infinite-dimensional spaces.
Troyanski, Stanimir
Geometry of Banach spaces and related aspects of approximation theory, topology, probability theory, descriptive set and function theory.
Terzian, Stepan
Nonlinear functional analysis, critical points theory, private and ordinary differential equations, differential equations, fractional calculus and differential equations of fractional order.
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.
Muskarov, Oleg
Several complex variables, Analysis on complex and almost complex manifolds, Complex differential geometry, Twistor theory.
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.
