Aoife's mutation is quite simple, really.
She's smart. Really smart. Terrifyingly smart. She remembers everything; everything she's ever heard, or seen, or felt, or tasted. Sometimes it drives her a little crazy. Mostly, she can control her memory, but occasionally something will trigger a memory, which will trigger the next, and so on, and so on, in a cascade effect. Usually when this happens, she'll start screaming, and not stop screaming untill she's quite literally either throwing up or choking. Usually both. She has been known to run headfirst into walls just to make it stop.
Not only does she remember everything, she understands it as well. The most complex abstract physics are well within her grasp - she takes a theory and runs with it. Whilst she doesn't neccessarily have the terminology, she can understand the theories. She has a fair amount of base knowledge as well - her mother didn't care what Aoife was doing as long as it wasn't bothering her, and they had a full cable service. The learning channels were Aoife's friends.
This has, incidentally, made languages a cakewalk - she's a natural polyglot, and picks up new languages within a few days - vocabulary takes longer, of course, but then she has been known to read dictionaries from cover to cover.