Hedgefund out of undergrad?

You can definitely get a research role at a hedge fund with your profile. As with all these things, the hedge fund universe is a large one, and your skillset will be better suited to certain shops over others. I'd suggest looking at broad quantitative, quantamental, and fundamental investors to begin with. If you want to go down the purer quantitative path as a researcher, you'll need to bolster credentials by doing a master's and likely PhD in mathematics / statistics. 

As an aside - and I don't know whether this is intentional - your tone is a little condescending. This was a lesson I learnt early in my career as well. Avoid using phrases like "feel free to chime in" - it makes it seem like people owe you their opinion, which, of course, they don't. It's also worth noting that it's better to "show" and not "tell". By this, I mean it's sufficient (in cover letters and the like) to say you study maths at Princeton - you don't need reinforce that statement by stating it's a top school / programme: those that need to know will know.