Abstract: There is a classical geometric way to resolve singularities, recently the idea of finding an algebraic (or categorical) resolution instead appeared. I will explain what a non-commutative (crepant) resolution (NC(C)R) is, providing motivation and some of the benefits and uses as well as some examples. This talk will be more algebraic than geometric in nature and I aim to at least provide a sketch of the results and concepts required, whenever needed.