This lecture series provides a review of the latest understanding and state-of-the-art research in turbomachinery aeroelasticity. After an introduction to the field, recent research on forced response, flutter and non-synchronous vibration will be presented, including high-fidelity computational fluid dynamics and cutting-edge experimental techniques. In view of more integrated propulsion systems, two lectures will be dedicated to the effects of intake distortions. An introduction into computational methodologies for aeroelasticity in turbomachines, including the latest time-marching and frequency-domain methods, will also be given. The course is aimed at participants from industry and academia, who wish to develop and deepen their understanding of complex aeroelastic phenomena in turbomachinery to aid design predictions and root cause analysis