Explore the intricacies of strongly interacting one-dimensional systems under confinement in this comprehensive lecture by Anna Minguzzi. Delve into exact solutions and advanced theoretical concepts as Minguzzi presents the third installment of her series on this complex topic. Gain insights into the behavior of quantum particles in confined spaces and the mathematical frameworks used to describe their interactions. Suitable for advanced physics students and researchers, this nearly two-hour talk offers a deep dive into the fascinating world of low-dimensional quantum systems.