Boyfriend’s ex psycho

My bf and I have been together for a little over a year now and it’s the happiest I’ve ever been. Everything about him is absolutely perfect except his ex. Before we were dating him and I would hangout since we had a lot of mutual friends. At the time him and his ex were on and off constantly since she would cheat on him or do drugs and start screaming and belittling him then break up with him until a few weeks later she’d beg for him back and he’d go back to her no questions asked until me and him started hanging. She got so jealous while they were broken up that the two of us were friends she messaged me on Facebook (mind you I didn’t know who this woman was) telling me that he was hers and not to try anything then later at a bar she screamed at him for hanging out with me. Fast forward to us actually dating we would go out to bars to drink and she would always manage to find his car and go to the same bar. It got to the point where I didn’t even want to go out so I let him go on his own one night. I get a call from him asking to get picked up. I get there and she had him pinned against her car trying to make out with him he doesn’t see me and pushes her back a bit, gets out of there and sees me walking up. His ex goes off crying saying that she just wants him back. There are so many other times like that. Then I thought it was all over we moved in together and suddenly her car starts going past our apartment. She sent a picture of the house across from us to our friend obviously taken from the front of our building. I’m not proud of it but I started not trusting my bf and checked his phone to see if maybe he told her but nothing she’s still totally blocked on everything. The most recent thing to happen is he went out and I stayed in because my stomach was killing me. She showed up to the same bar he was at so he finished his beer to leave. She came up to him crying and trying to buy him a drink but he refused and walked home. I guess she texted his brother saying that my bf made her cry because he went home to be with me and that she just wants him back. I don’t know what to do at this point she’s just annoying. I know my bf would never cheat on me but it hurts knowing that this woman is trying to do anything in her power to break us up and there’s nothing more I can do to stop it. She’s blocked on all social media and has no way to contact either of us outside of at bars or in town. I’m just at a loss of what to do.