Ex baby daddy issues.

The father of my first child keeps thinking that we will be coming back into her life. She is 2 1/2 and has never laid eyes on him. He has a warrrent out for his arrest in the province we live in. He lives out west right now and keeps threating to come back to see her. I am so fed up with it. He's a drug addict , has a warent out for animal cruelty and yet he still wants to be near my child... I don't think so. I should have listened to my mother and never put him on the birth certificate to begin with