In the post What does the “application” tag mean (and what should it mean)? a brief exchange indicates that the application tag should concern applications for, for example, jobs (as opposed to applying something). The tag at the time of writing this has been applied to 89 posts. A relatively new tag has appeared, faculty-application (currently on four posts). I can see that there are two ways to go here, to either use the application tag as a base and adding tags such as research, faculty and graduate-school to narrow down the scope of application or to accept "hybrid" tags such as faculty-application. I would opt for the former but what would be preferable. With only four tagged posts it would be easy to make the change.
I see this also reflecting on how the tags are built and used in general.