I am in PhD program and I stutter. I think I enrolled the program inspite of my stutter and because of my stutter. I needed to push boundaries and overcome this anxiety of new people, presentations etc. I stutter only when I'm stressed out or/and when I must say words which I can't replace. So I meditate, I read and I remind myself constantly to speak slowly and clearly. It's a long and tiredsome road, but what else could you do?