Searches for FCNC and lepton flavour violating interactions of the top quark with the ATLAS detector

The LHC is a top quark factory and provides a unique opportunity to look for flavour changing neutral current or charged-lepton flavour violating interactions of the top quark. These processes are highly suppressed in the Standard Model and are beyond the experimental sensitivity, but can receive enhanced contributions in many extensions of the Standard Model. Results of searches for flavour changing neutral current $tqH$ vertex and charged-lepton flavour violating $\mu \tau tq$ vertex are presented. The searches find good agreement with the Standard Model expectation and derived exclusion bounds are improved very significantly.