# Department of Analysis, Geometry and Topology

## Apostolov, Vestislav

### Associate Professor, PhD

Complex differential geometry, algebraic geometry, global analysis.

## Barov, Stoyu

### Assistant Professor, PhD

Infinite-dimensional topology, Geometric Tomography/Topology, Geometry of Banach spaces, Convexity, Topological vector spaces, Selection theory.

## Bazhlekova, Emilia

### Associate Professor, PhD, Secretary of the Department

Fractional calculus; Fractional differential and integral equations: operator-theoretical approach, qualitative properties of solutions. Convolutional calculus: Duhamel-type representations for nonlocal boundary-value problems.

## Davidov, Yohan

### Professor, D.Sc.

## Dimkov, Georgi

### Senior Assistant Professor, PhD

Functions of complex variables: conformal mappings, univalent functions, special classes of univalent functions.

## Dimovski, Ivan

### Corresponding Member of BAS, Professor, D.Sc., Honorary Member of IMI

## Ganchev, Georgi

### Associate Professor, PhD, Associate Member

Differential geometry of Riemannian manifolds, almost Hermitian manifolds and almost contact metric manifolds. Differential geometry of Riemannian and Kaehlerian manifolds with distribution. Classical differential geometry of surfaces in three-dimensional euclidean and Minkowski spaces. Differential geometry of surfaces in 4-dimensional euclidean and Minkowski spaces.

## Ikonomov, Nikolay

### Assistant Professor, PhD

Implementing algorithms for computing Pade approximations and their generalizations as a software application.

## Ivanov, Stefan

### Corresponding Member of BAS, Professor, D.Sc.

## Kiryakova, Virginia

### Professor, D.Sc.

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.

## Milousheva, Velichka

### Professor, PhD, Scientific Secretary 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.

## Muskarov, Oleg

### Corresponding Member of BAS, Professor, D.Sc., Department Head

Several complex variables, Analysis on complex and almost complex manifolds, Complex differential geometry, Twistor theory, Mathematical education.

## Nikolov, Nikolai

### Corresponding Member of BAS, Professor, D.Sc.

Several complex variables.

## Paneva-Konovska, Jordanka

### Associate Professor, PhD

Fractional Calculus, Special Functions, Integral Transforms, Differential Equations.

## Petrov, Peter

### 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.

## Popvassilev, Strashimir

### Assistant Professor

General and set-theoric topology, monotone properties realized through coverings, generalizations of paracompactness, combinatorial geometry, theory of the continuums, real and functional analysis.

## Raikov, Georgi

### Professor, D.Sc.

Asymptotic analysis of eigenvalues and resonances of quantum Hamiltonians, Theory of the spectral shift function for the Schroedinger, Pauli, and Dirac operators, Spectral theory for partial differential operators with random coefficients, Spectral methods of the ideal magnetohydrodynamics.

## Rangachev, Antoni

### Mathematician

Algebraic geometry and commutative algebra, and their interactions with deformation theory and singularity theory.

## Rusev, Petar

### Professor, D.Sc., Honorary Member of IMI

## Sendov, Blagovest

### Academician, Associate Member

Geometry of polynomials, approximation theory.

## Terzian, Stepan

### Professor, D.Sc.

Nonlinear functional analysis, critical points theory, private and ordinary differential equations, differential equations, fractional calculus and differential equations of fractional order.

## Troyanski, Stanimir

### Academician, Associate Member

Geometry of Banach spaces and related aspects of approximation theory, topology, probability theory, descriptive set and function theory.