Main Staff
Nikolov, Nikolai
Corresponding Member of BAS, Professor, D.Sc., Chairman of the Scientific Council of IMI, Head of Department AGT, President of the UBM
Several complex variables
Tsanov, Valdemar
Associate Professor, PhD, Secretary of Department AGT
Lie theory, reductive and semisimple Lie groups, linear representations and actions on manifolds. Geometry of flag varieties. Geometric Invariant Theory.
Katzarkov, Ludmil
Corresponding Member of BAS, Professor, D.Sc.
Differential, algebraic and symplectic geometry, topology and mathematical physics.
Hakkaev, Sevdzhan
Professor, D.Sc.
Stability of nonlinear waves, nonlinear dispersive equations, inverse scattering theory
Bazhlekova, Emilia
Professor, D.Sc.
Fractional calculus; Fractional differential and integral equations: operator-theoretical approach, qualitative properties of solutions. Convolutional calculus: Duhamel-type representations for nonlocal boundary-value problems.
Milousheva, Velichka
Professor, PhD, Deputy Director of IMI
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.
Barov, Stoyu
Associate Professor, PhD
Infinite-dimensional topology, Geometric Tomography/Topology, Geometry of Banach spaces, Convexity, Topological vector spaces, Selection theory.
Additional Staff
Apostolov, Vestislav
Associate Professor, PhD
Complex differential geometry, algebraic geometry, global analysis.
Davidov, Johann
Professor, D.Sc., Professor Emeritus
Gutev, Valentin
Professor, PhD, Associate Member
Research interests: Set-valued mappings, selections, hyperspaces, absolute extensors and retracts, embedding-like properties, finite-dimensional and infinite-dimensional spaces.
Ivanov, Stefan
Academician of BAS, Professor, D.Sc.
Kiryakova, Virginia
Professor, D.Sc., Professor Emeritus
Fractional Calculus, Special Functions, Integral Transforms, Differential Equations.
Kovacheva, Ralitza
Professor, D.Sc., Associate Member
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.
Muskarov, Oleg
Academician, Professor, D.Sc., Professor Emeritus
Several complex variables, Analysis on complex and almost complex manifolds, Complex differential geometry, Twistor theory.
Paneva-Konovska, Jordanka
Professor, D.Sc.
Fractional Calculus, Special Functions, Integral Transforms, Differential Equations.
Petrov, Peter
Chief Assistant Professor, PhD
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.
Rangachev, Antoni
Chief Assistant Professor, PhD
Algebraic geometry and commutative algebra, and their interactions with deformation theory and singularity theory.
Terzian, Stepan
Professor, D.Sc., Associate Member
Nonlinear functional analysis, critical points theory, private and ordinary differential equations, differential equations, fractional calculus and differential equations of fractional order.
Troyanski, Stanimir
Academician, Professor, D.Sc., Associate Member
Geometry of Banach spaces and related aspects of approximation theory, topology, probability theory, descriptive set and function theory.