<human>: Condense the text into a few key points

So I've been dating this girl for a few months. She is great. Relationship is getting serious kind of fast but that's OK. Problem is that she is obsessed with my ex. I told her i broke up with my ex of 2 years not long before I met her. She constantly thinks I'm not over her and does not trust me at all. I assure my GF that she is always on my mind and that I love her but it's not enough for her. She finds out little things like a sweater I own from my ex's school (my sweater not my ex's). It drives her mad. She wants me to get rid of everything that has any reference to her. Nothing of hers is in my place but anything that is related to her she wants me to get rid of it. It's making me extremely angry and ruining a great thing we have. I really prefer not to get rid of things I own... There are a lot of things I bought with my ex that I like a lot. Getting rid of the sweater... fine what ever. But this is just getting worse and worse. How can I get her to trust me that I won't hurt her... that my ex is in the past and she is the only one on my mind.
<bot>: GF is obsessed with my ex. Wants me to get rid of all MY shit that I got with my ex. How do I get her to stop thinking about my ex and to trust me.