What can I do for vertigo caused by Invisalign?

This is a rare situation but if you can tell that the symptoms are much less or do not exist when not wearing the aligners it is most likely caused by the changes in your bite and possibly clenching or grinding. This causes inflammation in your jaw joints and that can affect the inner ear and throw off your balance.If this is the case the dentist if trained in occlusion can add acrylic bite buttons on the aligners that should relieve this for you. Good luck

Careful of the self diagnosis here.  Vertigo is generally a middle ear or semi-circular canal problem.  Clenching on your trays might be part of the problem with the headaches. Talk with your dentist about stopping wear and see if your symptoms go away.