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In the context of polymer crystallization there are several still open and often controversially debated questions. The present volume addresses issues such as novel general views and concepts which help to advance our understanding of polymer crystallisation, nucleation phenomena, long living melt structures affecting crystallization, confinement effects on crystallization, crystallization in flowing melts, fluid mobility restrictions caused by crystallites, the role of mesophases in the crystal formation and presents new ideas in a connected and accessible way. The intention is thus not only to provide a summary of the present state of the art to all active works but to provide an entry point to newcomer and graduate students entering the field.

The classical view of polymer crystallization emphasized a few observable parameters, such as lamellar thickness and growth rates. However, this perspective is overly simplistic and fails to capture the complex non-equilibrium processes that influence structure formation across various scales, from nanometers to millimeters. Recent experimental findings have reignited interest in polymer crystallization, particularly regarding the early stages of the process, crystal formation in confined geometries like ultra-thin films, and the interplay between (micro)phase separation and crystallization in copolymers and blends. Advanced techniques, such as atomic force microscopy, have provided deeper insights into the molecular organization of crystallizable polymers. Additionally, computer simulations of microscopic processes have enhanced our understanding of polymer crystal nucleation and growth. New concepts have emerged regarding multistage pathways in the formation of polymer lamellae, and the significance of the non-equilibrium nature of polymer crystals has gained increased attention. Connections to broader growth phenomena and pattern formation are being explored, though these ideas continue to be the subject of intensive and often controversial discussions.