Abstract: In this talk the two-dimensional Dirac operator with general local singular interactions supported on a closed curve is considered. A systematic study of the interaction is performed by decomposing it into a linear combination of four elementary interactions: electrostatic, Lorentz scalar, magnetic, and a fourth one which can be absorbed by using unitary transformations. First, the self-adjointness and the spectral description of the underlying Dirac operator will be adressed. This can be considered as a generalization of a recent work of Behrndt, Holzmann, Ourmieres-Bonafos, and Pankrashkin. The second part of the talk will be devoted to a  construction of  approximations of the studied operators  by Dirac operators with regular potentials. The talk is based on a joint work with Cassano, Lotoreichik, and Mas.