Cyclic polymers are the simplest topological isomers of linear macromolecules, but exhibit properties that differ from linear chains in ways that remain imperfectly understood. The difficulty of synthesizing appropriately pure and high molecular weight cyclic samples has hindered experimental studies. Ringclosure methods, while versatile, are inherently limited in the range of molecular weights that can be achieved. Ringexpansion methods are a much more promising strategy toward obtaining high molecular weight cyclic polymers. The current review focuses on recent developments in ring-expansion polymerization strategies toward the synthesis of high molecular weight cyclic polymers. Significant progress in the last decade has made the synthesis of cyclic polymers possible by a variety of methods, such as ruthenium-and tungsten-catalyzed ringexpansion metathesis polymerization, organocatalytic and Lewis acid-catalyzed zwitterionic polymerization, RAFT and nitroxidemediated radical polymerization, among many others. While the study of cyclic polymers has long been hampered by synthetic challenges, the recent resurgence of interest in this field presents an exciting opportunity for chemists. V C 2017 Wiley Periodicals, Inc. J. Polym. Sci., Part A: Polym. Chem. 2017, 55, 2892-2902 KEYWORDS: cationic polymerization; cyclic polymers; cyclopolymerization; Grubbs catalyst; macrocycles; macrocyclic polymerization; metathesis polymerization; ring-expansion polymerization; zwitterionic polymerization INTRODUCTION Most of our knowledge of the physical and dynamic properties of polymers derives from investigations of linear chain macromolecules. Cyclic polymers, topological isomers of linear chains, differ from their linear congeners by only one bond, and yet this topological difference leads to behavior that, in many respects, remains poorly understood. Early heroic synthetic efforts to generate and investigate high molecular weight cyclic macromolecules 1-4 were compromised by the dramatic influence of even minor amounts of linear contaminants on the properties (esp. rheological properties) of cyclic chains. 1,[5][6][7] The synthesis of cyclic macromolecules of sufficient quantity and purity has proven to be a formidable challenge and has imposed a significant limitation on the study of their behavior as a function of molecular weight. Until recently, only a limited number of different classes of cyclic polymers have been prepared and investigated. Nevertheless, these pioneering studies have shown that cyclic polymers behave in a way that can be quite different from their linear counterparts despite their nearidentical chemical compositions. Cyclic polymers, for instance, cannot reptate or entangle 3,5,7,8 in the same way that linear polymers do and have a smaller radius of gyration in solution, leading to lower solution viscosities. 1,6