Gutev, Valentin
Research interests: Set-valued mappings, selections, hyperspaces, absolute extensors and retracts, embedding-like properties, finite-dimensional and infinite-dimensional spaces.
Tsanov, Valdemar
Lie theory, reductive and semisimple Lie groups, linear representations and actions on manifolds. Geometry of flag varieties. Geometric Invariant Theory.
Hakkaev, Sevdzhan
Stability of nonlinear waves, nonlinear dispersive equations, inverse scattering theory
Kassabov, Ognian
Riemannian and almost Hermitian manifolds, theory of submanifolds, differential geometry of surfaces in a 3-dimensional and in a 4-dimensional Euclidean or pseudo-Euclidean space.
Katzarkov, Ludmil
Differential, algebraic and symplectic geometry, topology and mathematical physics.
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.
Paneva-Konovska, Jordanka
Fractional Calculus, Special Functions, Integral Transforms, Differential Equations.