Abstract: Nuclear physics is unique in treating both single-particle and collective behavior in a strongly interacting system. Describing the emergence of these collective phenomena from single-particle models is thus a necessary, but complex, problem. I will discuss collective structures in the nucleus in the context of rotationally invariant sum rules and, through comparison with microscopic shell model calculations, demonstrate how these properties converge. I will then discuss experimental results testing ab initio models, before presenting recent results in the fpg shell, demonstrating the role of triaxiality in the selenium region. Finally, I will discuss future prospects at TRIUMF-ISAC and the ReA3 facility at NSCL/FRIB.