My name, Max, was given to me by one of my therapists because of my inability to find a name I didn't hate. It was a name I really liked in childhood, and I'm pretty attached to it now. I chose for it to be short for Maxwell, as that's my favourite variation.
My middle name is Ezra, from Ezra Koenig. It's a unique name with a long history, I have positive personal associations with it, and it just sounds cool.
Though I have no real disconnect from my last name at birth, I always mentally go by the last name Salinger, half as a reference to JD Salinger and half for aesthetic reasons.