This is cute and I think there is potential here .
Please let it develop slowly though, the best things in life form slowly. Building a solid friendship first will give you the best chances of it working out in the long run.
You are both in med school ? That's a lot of work and a lot of schooling...I'd focus on that over the relationship at the moment If its meant to be, it will happen.
I wish I had a chance to do it over and focus on school and not boys.
I also wish I let my mate do a little more chasing before I gave into him. We have a great relationship but looking back I was too fresh out of a relationship. As is this guy you have your interests on.