I am currently a year or two away from a PhD in differential geometry. I love doing research, and I would like to make my career doing research in some form (preferably mathematical), but I have no idea the jobs that are out there for pure mathematicians, or what skills are required in order to obtain them. For what it is worth, I don't care about the money - as long as my family is not starving, I'm fine with a lack of significant disposable income.
So, I ask:
1) What are some areas (broad or narrow) of industry in which I should consider looking for employment? Specific company recommendations are fine also; right now I have very limited knowledge of what's out there.
2) How should I tailor my skillset to be competitive for industrial jobs in math? Right now I have a fairly diverse mathematical education, and rudimentary knowledge of a few programming languages, but not much else that might be useful to an employer. What do you recommend I learn (either through courses or on my own) while I'm still in school?
Note: I have avoided asking about professorial positions because, while I'm not a bad teacher, and a position at a research institution would be great, I lack the prestige that comes with graduating from a top-tier school and I want to remain realistic about my job prospects.
Thanks for your time,
EDIT: Recommended reading suggestions are also appreciated.