I'm a pure math major (finishing up my sophomore year; the only math courses I've taken so far are "pure" ones), and I do want to go to grad school (in the pure math track) and academia after that. However: I'm also kind of nervous and doubtful about the prospect. I'm leaning heavily towards it, but I feel like I should also explore other options before committing myself to the ideal of academia. I'm just wondering what kind of courses/activities I should do in the event that I should eventually go into industry (if I do, it will probably be after grad school, although who knows, I might even give grad school a pass, or go for the applied track in grad school?) There is also something else on my mind - the possibility of taking fall semester off senior year to expand my math horizons (and for a change of environment) although I'm not sure what form this will/should take. Does anyone have suggestions? Internships in industry; or just math research opportunities at other universities (how would I secure them?!); etc. Thanks a lot. P.S. I don't know if this is the best section to get lots of (good) advice, but I certainly hope for it. P.S. I also posted this in the academic subforum.