This article provides an overview of current and historically important issues in the study of the syntax-prosody interface, the point of interaction between syntactic structure and phrase-level phonology. We take a broad view of the syntax-prosody interface, surveying both direct and indirect reference theories, with a focus on evaluating the continuing prominent role of prosodic hierarchy theory in shaping our understanding of this area of linguistics. Specific topics discussed in more detail include the identification of prosodic domains, the universality of prosodic categories, the recent resurgence of interest in the role of recursion in prosodic structure, cross-linguistic variation in syntax-prosody mapping, prosodic influences on syntax and word order, and the influence of sentence processing in the planning and shaping of prosodic domains. We consider criticisms of prosodic hierarchy theory in particular, and provide an assessment of the future of prosodic hierarchy theory in work on the syntax-prosody interface.