The development of the Standard Model has been one of the crowning achievements in modern physics, and is the cornerstone of current subatomic studies. Despite its success, the Standard Model is known to be incomplete, and providing limits on possible physics beyond the Standard Model (BSM) is crucial to our understanding of the physical universe. Although they are generally complex, unstable nuclear systems provide some of the best venues for these studies through the use of rare-isotope beams (RIBs) and world-class experimental facilities. These studies are extensive, and include probing CKM unitarity and extracting the effective Majorana mass of the neutrino from 0vbb decay. New experimental techniques which have made these measurements possible have also opened new avenues for probing nucleosynthesis in stellar environments. My past, present, and future research goals aim to solve some of the major underlying questions that remain in our understanding of the subatomic world.