Video call and share writing
AWW App

From a simple Google Search (and some testing) I have found a WebApp that allows real time collaboration on a whiteboard. From my tests the board is updated once the mouse is released. 

It works in realtime on Mac's and iOS devices meaning you and your Ph.D. advisor could use it at the same time no matter what device you guys are on.

You can...


Draw with different colors
Type text
Add Shapes
Create Post-it notes
Add Pages
Export your board as a PDF or Image
Save your board for future use
Add collaborators


Extra premium features are available.

Note: I am in no way affiliated with this company or product and will not be impacted by the purchasing (or not) of this product