According to documentation, you can get a list of members on a shared folder with https://api.dropbox.com/1/shared_folders/<id>
and the response will contain:
"display_name": "Jane P. User",
Is there any way to determine the email address of that user? (eg- from the uid for that user) Note that this is information that is available to the folder owner via the Dropbox web interface.
Yes, email address is available via /shared_folders in the Core API:
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