You can create a new folder or delete an existing folder by swiping to the left on a folder from the main library. 

  • “Add Folder”: creates a new folder inside the selected folder
  • “Delete”: deletes the selected folder

To create a new top-level folder, swipe on “All Documents” instead, and select “Add Folder”.

You cannot currently rename an existing folder from PaperShip (you need to use the Mendeley/Zotero app, and then sync your library with PaperShip).