Hello,
I am not sure what state you are in - but I think this is a universal law - if he was not there for the birth and/or sign the birth cert. - then he has no rights. He would have to bring you to court and get a DNA test to prove she is his daughter. This will be an out of pocket expense for him (rarely paid for by the state) in addition to agreeing to pay for the next 18 years of her life. He would also probably have to pay back child support. He might get a job under the table - but states are starting to put these jerks in jail, taking their drivers license, and preventing them from getting loans (like for cars and even opening bank accounts.) If he has done jail time for a violent crime and does all of the above, a judge will have no problem making visitation supervised by someone from the state, you, or other parties. You need to stop talking to him if you want to protect your daughter. If he is a big enough creep, I am sure he will threaten you at some point - make sure it is documented for the courts. You have the power here and if you don't want him to see her (for good reason) then make him work for it. He will eventually give up - but make no mistake - once he gets some dumb girl he will attempt to do this all again to impress her. This will probably be a long fight - but worth it. After maybe about 10 years - tell him you will waive all the back child support he owes to give up his rights. You have to be creative. Good luck - can you tell I have been through this? haha