How to do research in two very different fields? Most research profiles I've seen focus on a set of similar topics.
Does anyone have experience in partaking in / conducting research in 2+ disparate fields? (especially if 1 of the fields is pretty different than what they studied in an institution)

For example:


Pure mathematics and biology (e.g. solving an open math problem and studying purring in cats)
Aerospace engineering and psychology (e.g. modeling vortices and researching psychological effects of isolation)


If a person had interest in researching a multiple, ranging topics, what advice would you give them? How do you think they should go about doing it? (if you'd recommend they do it at all)

Edit - I'm an undergraduate mechanical engineering student. I'm interested in eventually researching two topics, one in my chosen field, one in genetics.
You can find a way to tie math into damn near any field or topic. Often at the graduate level you end up working with tools from "outside" of your discipline to solve a problem within it, or using the machinery of your field to solve otherwise-untenable problems in another. It's getting very multi-disciplinary out here, and very translational, and whatever other term you like for that kind of thing.

Essentially, if the tools are applicable across fields, it's no big deal: your literature familiarity just has to have more breadth than typical. If they're legitimately unrelated and you aren't interested in trying to connect then or your solutions to the problems in the fields, it will be a very hard row to hoe. 

From a fellow MechE, take further classes in both and see which field looks most promising and exciting to you and follow that one professionally. Keep up with the other casually and consider how your understanding of one facilitates your work in the other.

Good luck!