Recent advances in additive manufacturing and three-dimensional printing, coupled with the discovery of novel metamaterials, have positioned the study of material defects and singularities as a critical interdisciplinary challenge. A comprehensive  modeling, understanding, prediction, and control of these singularities requires collaboration across various fields, including mathematics, physics, engineering, and materials science. In this context, ``singularity'' refers to atomistic defects, such as disclinations, which occur at the microscopic scale, as well as the nucleation of macroscopic discontinuities, such as crack initiation and the emergence of distinct material phases.

In this workshop, we will advance the mathematical modeling of defects and singularities by promoting collaboration among diverse communities engaged in addressing these phenomena across multiple material scales, employing various techniques, and adopting different perspectives. In particular, we will integrate geometrical and analytical approaches, link micro- to macro-scale modeling, and connect theoretical results with application-driven case studies.