The aim of these studies is to use hard (large Q^2) processes to investigate the partonic nature of the pomeron. We have measured events with large rapidity gaps between balancing high E_T jets, events with two forward (same-side) jets and a large gap (diffractive di-jet production), diffractive W^+/- production and diffractive heavy flavor (J/psi and b-quark) production. Candidate events of the type double-pomeron -> di-jet are observed. I close with a look at the future (Run II).