The Arctic is highly sensitive to ongoing climate change owing to a host of closely coupled processes and feedbacks that contribute to warming at high latitudes. One such process is the poleward transport of energy, much of which is accomplished by atmospheric waves. We investigate how atmospheric waves influence Arctic climate from two different viewpoints: first, through the impact of travelling weather systems in the Atlantic corridor, and second through planetary-scale waves under the effects of ocean warming and greenhouse forcing. The results together highlight the importance of combining the weather and climate perspectives to better understand mechanisms of Arctic warming and how they will change in the future.