I did an internship/co-op at a company, and then I went back to my home university. From there, I continued to work with them on the project and they hired me as a Vendor to be able to get a badge and access data etc. They also financially support my education for a year (through a research associate position), so although they do not pay me directly, they are paying me indirectly through my home university.
How should I put this on my resume? Can I include the time that I was at my university in the internship/co-op time? After all, putting a longer period of internship/co-op can be more impressive on resume.