SENUC is a project aiming at improving our knowledge of the structure and dynamics of Super Exotic NUClear systems at the limit of stability, focusing on the properties of halo nuclei and few-nucleon emitters, through the development of innovative coupled-channel models including core excitations within both collective and microscopic approaches and their implementation in novel computer codes that will be made publicly available. This action will be developed by integrating the researcher in the renowned Nuclear Physics group of the University of Seville, with a strong interest on the theoretical interpretation of recent and new experiments at Radioactive Ion Beam (RIB) facilities in Europe and worldwide. The research objectives are focused on: 1) the description of core correlation effects in processes involving super exotic nuclear systems, and 2) bridging the gap between few-body collective models and the microscopic many-body structure of nuclei at the dripline boundaries and beyond. A proper knowledge of these topics is crucial to assess how shell evolution shapes the limits of the nuclear chart, with implications for open questions in Physics regarding the strong force and nucleon-nucleon correlations. Accordingly, SENUC will provide an innovative theoretical framework to support the most recent advances in RIB physics, describing processes induced by or involving the most exotic nuclear systems that are available or will be soon produced in next-generation facilities such as FAIR-GSI, FRIB-MSU or RIBF-RIKEN.