  In these notes, based on the lectures given at 40th Winter School on
Theoretical Physics, I review some aspects of Doubly Special Relativity (DSR).
In particular, I discuss relation between DSR and quantum gravity, the formal
structure of DSR proposal based on $\kappa$-Poincar\'e algebra and
non-commutative $\kappa$-Minkowski space-time, as well us some results and
puzzles related to DSR phenomenology.
