How do I refer to myself in a postdoc application research proposal? I'm writing up a STEM postdoc application and the major component is a lengthy research proposal. I'd like to speak to my specific strengths in the area and provide examples (some of which may not have associated publications), but I'm not sure about language choice. I'm aware of this SE question, but that's more for journal publications. It's easy to say "we" in a journal article, even if I did all the work, because my PI's name is always last author.

Some proposals I've seen have included language like "the applicant's expertise in..." or "this researcher's previous investigation into..." but that seems inelegant and forced. What's the best way to do this?
You don't mention the formality of the application - for example is this an application to a specific PI or program, or an application for a fellowship to a nonprofit or government institution? 

I'd say the safest bet is to rely on extreme formality and refer to yourself as "the applicant." I see this all the time in proposals and use it myself when discussing prior work in grant applications. So I wouldn't characterize it as "forced," (inelegant might be a matter of opinion). 

However, if it's not very formal (i.e. submitting to an individual professor, or department/working group) then simply using first-person "my" or "I", etc., might be fine and suit your personal style better.