Mathematically, the characterization of localization and delocalization is a rich and delicate problem. Many disciplines, including probability, the analysis of partial differential equations, and mathematical physics, offer tools to tackle localization questions. This workshop will convene researchers from across these fields to share new techniques, explore common questions, and initiate novel lines of research. Moreover, the workshop is designed to nurture a community of early-career researchers who are comfortable communicating and collaborating across disciplines.