[ianai]

Government: Working for a national lab is very similar to working for a research college without the coursework. There are frequent (as in weekly) technical lectures across a vast array of areas. Lots of work for someone with math+applications interests. Including work for NASA, LHC, astronomy, etc. You can literally walk up and talk to them after the lecture ie if you think there’s a collaboration possible it’s possible.

Similar is probably true at contractors like Lockheed Martin, etc.

In my experience, the trouble can be in picking places that won't see you as too qualified/"why would you work here?"

Maybe project management or stuff in logistics might be complicated enough to interest you.

Pick up some IT background with stuff like containers, linux, etc. Usual stuff to aim for to get into the big techs. I'm hoping Microsoft, apple, etc still have filesystems devs.

Make some expository type videos ala the famous YTers. This ca/should mirror your current academic work.

[eschneider]

> In my experience, the trouble can be in picking places that won't see you as too qualified/"why would you work here?"

This probably isn't an issue going from math research -> industry. Most folks (at least in the areas I work in) will look at the math background as a huge plus and will assume the answer to "why would you work here?" is "I don't want to starve." and consider that a win.

[ianai]

Varies widely on person/manager/industry.