I am writing a research proposal for a PhD, and I am referring to my earlier research, which is published in a scientific journal. Should I cite myself? It feels a little preposterous, but I can imagine it could be good to provide the full reference. I do provide it in my CV as well. An additional reason I thought it would be good to cite my paper is because I am making the claim that it built on the work of a professor from the department I am applying to, and I figured providing a reference - with DOI - to my paper would be the best way to back that claim up.
Thank you in advance for the advice, I really appreciate it.