As I can see, there is many forums here about that Alex have a girlfriend. I can tell you he has not.
I watch the norwegian program "God kveld norge" yesterday, and there he said that he just date one girl at time, he is not together with a girl, but maybe he is dating one ?
He said also that Moa(the girl you think is his girlfriend) is not like him, she is diffenent from him, and that he had learned a lot from her.
He was not saying that they were dating or were together.
I also think that it`s a little bit wierd that Moa is not traveling with him and the other violinist girls anymore. Now he has a new team(again), it`s still Maria and Kathrine, but instead of Moa, it`s Benedicte, so maybe Moa is one of the girls who just wanted him because he is a celebrity. :S And that they are not dating each other anymore.
I think he might like Maria a bit, she is in his new music video "Fela Again", take a look:)
But anyway, he has NOT a girlfriend ;)