Algebra, Semigroup Theory, Transformation Semigroups, Universal Algebra, Clone Theory, Varieties of algebraic structures, discrete functions

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.

The research interests of Prof. Kutev are in the field of non-linear elliptic and parabolic equations and systems appearing in geometry, physics and engineering: e.g. the minimum surface equation, the equation of Monge-Ampere, the equation of anisotopic diffusion in the theory image clarification, viscose solutions, diffraction problems of equations with non-continuous coefficients and others. The total number of publications of Prof. Kutev is 64, where 63 are printed, and 1 is on the way. Of these, 36 were published abroad, 18 are in journals with Impact factor. Publications of Prof. Kutev been cited 85 times in 73 articles, 7 of which in English journals and 68 magazines in the world. In 1990, 1991 Prof. Kutev was a Humboldt scholar at the University of Karlsruhe and Heidelberg, Germany, and guest researcher in Heidelberg in 1992, 1993, 1994 in Bonn, 1995-1999 in Cologne -- Germany.

Coding theory, query problems, covering problems.

My fields of interests are the numerical methods for partial differential and integral equations with special emphasis on finite differences, finite element and boundary element methods. These methods are applied for developing mathematical models of some industrial and physical processes.

Numerical methods, Approximation theory.

General topology (set-valued mappings), Functional analysis

Operations research.

Functional Analysis; Approximation theory.