"Coincidentally, so do I." Charles can see parallels in them already, the sort of intellectual theorizing could easily fit any kind of natural teacher. So he must have stumbled upon another one.

"I'm a teacher, I run a school back home. Professor Charles Xavier." He realizes he hasn't officially introduced himself and now seems like the natural time. He offers his hand if she would like to shake it, but won't be offended if it isn't her custom. It would be nice to share that with someone else.

"The majority of my students are teenagers and older, so not quite children."