<human>: Can you provide a brief overview of the text?

I'm a 27 year old gal. I work in a lab in a highly scientific community. As would be expected my coworkers (all three of them) and I are relatively introverted, mostly talking shop and keeping to ourselves. The only other people we come into contact with are those who work at the lab down the hall in our building due to the fact that we share some resources. 

A few months ago a new guy started at this other company. He's my age, cute, and I'd like to get to know him better. The problem is, I have no idea how to start casual but personal conversations with him! The few times we've spoken have given me the impression that he's interested but there's no opportunity to talk anywhere out of earshot of our coworkers. I'd prefer to have a friendship develop more organically, but at the rate we see each other that would take ages. I'm also too self-conscious to do anything that might seem more aggressive

One more complication, the office/lab he's in is at the end of a hallway, there's no way to casually go anywhere near there under the guise of getting somewhere else. Also, there's no communal space, everyone either has lunch at their desk or goes out, so no running into each other at the water fountain or cafeteria.

Any advice about how I could have more interactions with someone without staking out the men's room or elevator would be fantastic.
<bot>: I think the guy down the hall at work is cute, don't know how to 'run into' him and chit chat casually.