My question involves paternity law for the State of: New York

My daughter's father turned very mentally abusive and he began to drink a lot after he found out I was pregnant. I am not going to put him on the birth certificate once she is born in September. I was wondering if this gave him any legal rights or visitation rights to the baby seeing as he is still the father. We plan on going to court to determine custody, but until then I don't want him around my daughter with the way he acts. Is not putting him on the birth certificate a wise idea to keep him away for now?