I am currently a Postdoc at the University of A. I did my PhD (in Computer Science, if it matters) at the University of NotA. All my Postdoc funding (salary, etc.) comes from my current PI's grant.
I work full-time with my PI (Dr X) on several projects. However, I also collaborate (provide guidance, write codes, papers, etc.) with my research team from NotA, primarily on weekends and beyond the working hours at A. These are some projects that I was already involved in during my PhD at NotA. Furthermore, I try my best to ensure that my external collaborations have no or minimal effect on my current postdoc research.
I have this "ethics" dilemma and confusion regarding my current collaboration setup.
- Since X fully funds my salary, is working outside X's lab ethically or morally correct?
- If yes to (1), do I stop all collaboration with my team at NotA?