This text focuses on the algebraic formulation of quantum field theory from the introductory
aspects to the applications to concrete problems of physical interest. The book is divided in
thematic chapters covering both introductory and more advanced topics. These include the
algebraic perturbative approach to interacting quantum field theories algebraic quantum field
theory on curved spacetimes (from its structural aspects to the applications in cosmology and
to the role of quantum spacetimes) algebraic conformal field theory the Kitaev's quantum
double model from the point of view of local quantum physics and constructive aspects in
relation to integrable models and deformation techniques.The book is addressed to master and
graduate students both in mathematics and in physics who are interested in learning the
structural aspects and the applications of algebraic quantum field theory.
