I am about two-thirds of the way through my doctoral programme, and am intending to start applying for post-doctoral fellowships within the next few months.
I am fortunate to have already published a first-author publication with my supervisor, and have another under review. I have also brought projects to my supervisor that we are currently undertaking, but will not form part of my thesis.
I wanted to ask for your advice/thoughts on an issue. I have been approached directly by an academic that I greatly respect and have not previously worked with to undertake an analysis on the understanding that I would be first author on a write-up and they would take the last author. While I have a great relationship with my current supervisor, I am keen to try and publish an article without any of my existing/previous collaborators. My reasoning for this is that such a collaboration would enable me to clearly demonstrate my independence as a researcher and my ability to collaborate in any future fellowship applications (or other postdoctoral applications, for that matter).
I wanted to ask you all whether you feel that it is a fair request of my current supervisor that I pursue this external collaboration without them?
Many thanks for any advice you can provide.