I have just seen a PhD advertised that I really wish to apply for as it is really well aligned with my research interests. I look every few days but had not seen it before but the deadline is next Tuesday.
It would be the first project I would be applying to so I need to still ask my previous supervisors if they would willing to provide a reference. However I am worried as I know one week is not a lot of time at the best of times let alone so close to the start of term and in the middle of the A-levels fiasco. To make matters worse the two academics I would be asking are an admissions tutor and head of department so I know they must be extremely busy.
Would I be unreasonable to email asking if it is possible? If not, can I email just a general email saying I plan on applying to projects over the Autumn and would they be willing to provide references just so they have a heads-up in case in the future there are other projects with short deadlines?