What Else Can I Do

I am currently working in a non-financial related field and have a degree in engineering from a non-target school, but recently interviewed with a boutique equity research firm (in a non-target city I should add).
The senior analyst came from the buy side and needs to hire a research associate, but this will be his first time with such a decision. I am being told the firm and S.A. wants to interview a few more candidates just to be sure he is performing due diligence, but it might take another couple of weeks due to earnings season.
Just to note, this is not your typical equity research firm. I feel it would be a perfect fit for both parties involved. I have been self-teaching corporate finance and accounting over the last year and know what I'm talking about, fundamentally. My interview went as well as it could possibly go and we have been in consistent contact since, about a month ago.
Is there anything else I could do to prove my competence and that I would thrive?

This could be my break and I want to make sure no advantages or beneficial actions are left on the table.

Thanks in advance, FC5