If you don't have any industry connections, you may not be of much help. But don't feel bad, it's your job to educate your students, not get them jobs. There

If you don't have any industry connections, you may not be of much help. But don't feel bad, it's your job to educate your students, not get them jobs. There are a few places that can help your students find jobs, like the ones listed here: http://www.ams.org/profession/employment-services/employment-services http://www.ams.org/profession/employment-services/employment... But once you look at the listings you'll see that they are mostly academic job listings. In general, the companies willing to hire pure math people are large companies that have a lot of money to spend on developing new things. So I would give basic advice to your students to apply to large companies. Small companies want a more rounded person and math PhDs don't often come with enough practical skills (unless they are good at programming or did applied math). The US military also employs a lot of mathematicians and if that fits in with their moral values and they can get a security clearance (read: not foreign and no criminal record) then there is some decent money to be made there. There are a decent number of non-defense government jobs out there as well, but are usually in some applied field like economics/finance or statistics. But really, as a professor, if you aren't able to hook your students up with a head hunter or personal industry contacts, they may be better off getting job help from someone else. If you have no industry experience yourself, the best option may be to just keep from offering any advice in the hopes of not steering your students in the wrong direction.