[bentona]

Semi-related, IMO it's easier to not get siloed, at work and in general, if you position yourself as a math major rather than a CS major. Most people don't realize the overlap, and think "programmer" when they hear CS and "smart person" when they hear math (I have both and this is my experience, ymmv).

If you're not sure what else you want to do, working as a software engineer for a while is not a bad idea, and may be a very good idea depending on your financial situation - if you want to focus on solving problems instead of working on large software systems, maybe try a smaller company. If you're especially interested in entrepreneurship, this could also expose you to a lot of valuable knowledge.