The research project I am currently working on is called 'Case and Coordination' and focuses on the interaction of these two grammatical phenomena.
Generally, it is assumed that nominal coordination does not affect case assignment. If a direct object receives accusative, then two conjoined direct objects as in Mary saw you and me should receive accusative too. However, in some languages, we find that this assumption is not borne out. Conjoining nominals can affect case assignment. Sometimes only one of the nominals receives the expected case; sometimes none of them does; and sometimes a completely unexpected case shows up on both nominals.
In this research projects, I am conducting a number of case studies in these languages. The results will allow for new perspectives on current theories of case assignment as well as syntactic theories of coordination
If you want to know more about this project, here's the project proposal.