New insights on the structure of alpha-synuclein fibrils using cryo-electron microscopy

•Alpha-synuclein fibril structures determined by cryo-EM are discussed.•We discuss Parkinson’s disease-related aSyn mutations for fibrils.•We discuss possible implications of post-translational modifications for fibrils.•We propose a nomenclature system for alpha-synuclein fibril polymorphs.