<human>: My normal approach to meet a girl can somehow be described by [this] and the 'not willing to spend evening after evening in a bar to find a girlfriend'-way of life of my (if anyone was still in doubt) all male group of friends. Meeting someone during university-courses is sadly to late since I finished my degree last year.

Now the hopeful part:
Last week I met a (quite -ok, very- attractive) girl because I agreed to take part in her master-thesis research (last year of university). As my annotation 'very attractive' might show, I would love to meet her some more and perhaps start a relationship with her.
However, as my throwaway account shows, I'm mortified to be seen as a creep. Therefore I need your help.

How would you react if someone who took part in your research mailed you about a week later asking to go out with you?
More information:

* I do not consider myself good looking, nor 'did he just crawl out of his grave'-ugly.
* My social skills around girls are not non-existent, but need some time to show up.
* The aforementioned girl was smiling the entire time during the research, but I do not know if this means anything.

Help would be greatly appreciated, any errors in this text are caused by the fact that English is not my native language.

Can you summarize the given text in a few sentences?
<bot>: Met a girl I would like to date while taking part in her research, what do I do to ask her out (by mail since this is the only information I have) without looking like a creep.