How to deal with a student who talks too much in my class?
In the first place, I would take him aside for a quiet chat. Nothing aggressive - just explain how you see the situation he is creating. If he has some interesting points to make, do listen. But also make it clear you are teaching all the students in class, not just one. This, hopefully, should be sufficient.

The second stage -if needed- is a serious warning in class, in front of everyone. Other students need to see you are taking things in hand. He has been forewarned.

The third level is OUT, plus whatever disciplinary measures are current in your institution. 

Unfortunately, just ignoring him will not help him see his errors.