This one is short and sweet. And it totally depends on you. Share your nerdy math things with the students. Please. Students at any level should see how you enjoy the subject that you teach, and how you’re interested in math other than the math that you’re required by your school to teach. I can’t know what you are interested in, but I share a ton of math art with my students. Often it’s things that I’ve created, but that isn’t required. I share some of the best math art things that I find on twitter. A fair amount of my classes have a “oh and here’s something that my nerdy math twitter people were talking about…” moment.
Oh and if you have a twitter account and it’s shareable to your students (no inappropriate things for students), consider talking about it. I don’t have lot of current students who follow my twitter account, but I do have a fair amount of former students who follow me on twitter and while a hundred days go by without any contact, it’s an amazing feeling when they share something that they learned in college and thought about something that we did in class that was related.
Everyone is a fanatic about something. Share that with the students. Many of them are still growing into what they want to nerd out about and you can be part of that.