The Private link takes you to a view that contains files that are only visible to you. In this private user folder you can upload and manage your files independently of projects.

Here you can find more information about this view.

The Others shared with me link takes you to a listing of the files that are shared with you.

The My shared links link takes you to a listing of your externally shared files.

Here you can find more information about this view.

The My shared files link takes you to a listing of your shared files.

Here you can find more information about this view.