"What do I do with these thoughts?"

Don't act on them!

Writing about them here on the boards is a good idea. Talking to a therapist, a doctor or clergy is a good idea, but the worst, most foolish and destructive idea would be to act on those violent thoughts. You'll be digging your own grave if you do that.

I've had violent thoughts in my life too. The key when they come up is self-control.

Once the thoughts are gone, it can be helpful to determine the root cause of those violent thoughts, and then work on that specific issue.

You said that your mom doesn't understand you and makes assumptions. That's a starting point. We all want to feel understood. One possible solution is to forgive your mom, realize that she has flaws and limitations just like you, and seek to be understood in a different relationship.

Just some ideas.

Cal