Department of Mathematics, Physics and Geo Sciences

Scientific Profile

**Mathematics**

*Differential equations (ordinary and partial).* Qualitative theory of ordinary
differential equations. Fractional differential equations. *Fourier analysis.* Wavelets
and Gabor´s frames in time-frequency analysis. Microlocal analysis. *Functional analysis.*
Generalized functions and the asymptotics of integral transformations. Methods of functional
analysis in the solutions of equations with singularities, stochastic equations. Fixed point
theory in topological vector spaces and in probabilistic metric spaces. *Differential geometry.*
Semi-Riemanian geometry. Almost Hermitian manifolds. *General topology.* Pattern
recognition. Teaching of mathematics. Set theory. *Algebraic graph theory.*
Combinatorial optimization. *Analytic number theory.* Zeta-function, arithmetic functions.
*Approximation theory and numerical analysis.* Orthogonal systems. Extremal problems.
Interpolation and quadrature processes.

**Mechanics**

*Analytical mechanics.* Variational principles of mechanics. Conservational laws of dynamical systems.
Optimal control theory. Heat transfer theory.

**Physics
**

**Meteorology
**

**Geo-sciences
**

*Geodynamics and Petrology*. Ophiolitic rocks. Suture zones. Terrane
analysis. Evolution of Balkan peninsula realm from Paleozoic.

*Geochemistry and Mineralogy*. Upper mantle rocks. Karstic bauxites.
Karstic nickel deposits. Weathering. Geomedicine (Se, Mg).