This lectures will be about algebraic model theory, which focuses on model-theoretic properties of concrete algebraic structures (as groups, fields, modules etc.). More specifically, we will consider model theory of fields, where “field” is understood as “field with a possible extra structure”. These extra structure will be given particular group scheme actions: actions of constant groups (“usual” groups) and actions of infinitesimal group schemes resulting in iterative Hasse-Schmidt derivations.