I'm applying for a research postdoc fellowship in mathematics (I just finished my PhD) at a prestigious UK university. I've been told to write a research plan for what I intend to do with the fellowship. Unfortunately I have no idea who is going to be reading my plan.
Should I start off by introducing them to my area? My area is in evolutionary PDEs and professors in eg. number theory may not know anything about it. I was going to define a PDE and then quickly talk about my previous work and then my intended research work. Overall it's 3 pages at the moment.