I have recently been offered a tenure-track position in a very prestigious northern European university. I am currently a lecturer in a smaller UK university but I have six years of experience between my post-docs and appointment as a lecturer.
The level of appointment would be as a an Assistant Professor. Here, I am a "tenured" Senior Lecturer (which should be a bit higher), however being a non-intensive research university, there were an easier set of requirements. I feel more like a glorified post-doc with more teaching responsibilities than a full lecturer (but don't tell them that!). Indeed the level of research support is non-comparable. In the two years I have been here I have not had the possibility of supervising PhD students as there are no resources, beyond a few temporary post-docs I have been able to fund. Which is my main motivation for leaving (and Brexit).
Still, I feel the experience I have accrued should be recognised a bit more. Since the assistant professorship is also something they could be offering to a very good newly minted PhD or an early post-doc.
They say that "almost-always" a five-year tenure-track position results in a promotion to a tenured Associate Position. However my negotiating experience is really low, and coming from a Southern European background, all wages seem astronomical compared to what I was earning as a PhD back home.
My question is: how should I argue my case? Should I be asking for an earlier tenure time? It could be also counter-productive, for example if all my grant applications are rejected. If you have been in a similar situation, what did you ask for?