Exploring and understanding the structure of nuclei far from stability is one of the central themes of present day nuclear physics, as evidenced by this workshop. In this presentation, work investigating the structure of the most neutron-rich isotopes of carbon and nitrogen employing high-energy nucleon removal (or “knockout”) will be discussed. These nuclei are of particular interest as they encompass the N=14 and 16 sub-shell closures and lie below doubly magic 22,24O.
Following a brief résumé of the motivation for this work and the tools employed, the results obtained for the unbound system 21C will be presented together with the prospects for probing the continuum states of 22C, including the search for the first 2+ state. The first observation of 24N will also be presented together with evidence for the existence of 25N as a resonance.