Drazin inverses are a special kind of generalized inverses that can be defined for endomorphisms in any category. A natural question to ask is whether one can somehow extend the notion of Drazin inverse to arbitrary maps -- not simply endomorphisms. It turns out that this is possible and, indeed, natural to do so for dagger categories. In this talk I will introduce dagger Drazin inverses, a new kind of generalised inverse for maps in dagger categories. I will also explain how dagger Drazin inverses are deeply connected to Drazin inverses and Moore-Penrose inverses. This is based on joint work with Robin Cockett and Priyaa Varshinee Srinivasan, and our paper (link)