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Hi Matt-
Thanks for your follow-up questions!
Rossby waves interact with the Hadley, Ferrell, and Polar cells as you mentioned. The circulation of these cells results in our subtropical and subpolar jets at the cells’ boundaries, which is where Rossby waves are often found. Further, Rossby waves triggered by tropical convection (storminess) that travel from the tropics to the extratropics are guided by the Hadley Cell circulation.
Rossby waves do play a role in sudden stratospheric warming events. When Rossby waves traveling in the troposphere get pushed higher into the atmosphere, they can extend into the stratosphere. Sometimes these Rossby waves can break (as discussed in the post) in the stratosphere and weaken the stratospheric polar vortex. The winds can even be reversed in which case, cold air falls and warms rapidly, resulting in a sudden stratospheric warming event.