The main research interests and publications of Peter Popivanov are in partial differential equations - linear and nonlinear micro-local analysis nonelliptic border problems and global solvability, hipoellipticity, propagation of singularities of weakly nonlinear hyperbolic equations and systems and applications in mechanics and geometry.
Partial differential equations, Microlocal analysis, Spectral theory, Scattering theory, Dynamical systems.
Software Quality, Agile Methodologies, Education on Informatics.
Combinatorial and computational ring theory, noncommutative algebra, algebras with polynomial identity, automorphisms and derivations of polynomial and free algebras, commutative and noncommutative invariant theory, group representations, theory of symmetric functions, group algebras, and coding theory.
