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As an example, the plot below shows some of the broad-brush comparisons available from just the core survey Phase I (from Geha et al. 2017). These aforementioned projects would expand from these "one point per galaxy" plots to more thoroughly characterize individual satellites and expand the scope of the observations from primarily-imaging to more thorough characterization and comparison with the wealth of data in the Local Group.
The work you imagine having the graduate student do:
Both of the projects mentioned above have potential for at least one paper which the graduate student can lead. Both also The second may require significant data reduction - either combination of the spectra for COS-SAGA, or reduction of the raw observations for the optical follow-up project, whereas the first will involve collaboration with a current postdoc who has already reduced the data. Depending on the student's interests, these projects have several potential directions that could lead to a thesis, either through a deep-diving in modling modeling of the follow-up observations, or through a more shallow but broad set of projects that focus on particular relatively straightforward (i.e. high S/N) targets.