**Department of Complex Analysis and Differential Equations**

**Research directions**

- Distribution of the zeros of polynomials and entire functions. Orthogonal polynomials
- Extremal problems in the Approximation theory - theoretical research and computation
- Local theory of the analytic functions. Uniform coverings
- Convergence of the method of finite difference applied to the solution of the initial value problem and to the boundary value problem for functional - differential neutral type equations and integro-differential equations
- Geometry of Lie groups and applicationsto thelinear systems of differential
- Uniform coverings of topological spaces
- Analytic number theory - additive problems involving primes, applications of the Hardy-Littlewood circle method, sieve methods, estimates of exponential sums over primes and the distribution of the zeros of the Dirichlet L-functions
- Connections and metrics on a manifold with a semi-tangential structure
- Oscillatory and asymptotic properties of the solutions of functional-differential equations of neutral type

Chair: Assoc. Prof. Ivanka Kasandrova, PhD