I'm currently an undergraduate (Junior) math major at NYU. I decided to study math for the challenge, and so far, I have loved it. It's been fascinating and satisfying. Having said that, I'm currently at a crossroads. I have absolutely no idea what to do. Let me elaborate; I'm not sure whether I should pursue graduate mathematics, or try to transition into something like engineering. I am interested in both. I am drawn to Astronautical Engineering due to a humongous interest in space/space travel/jets etc. However, I am also drawn to the idea of becoming a professor of mathematics. I foresee one humongous problem: getting a PhD in math. Quite frankly, I don't think I'm capable of it. I've done well enough so far (~3.6 GPA in Math, recently got an A- in my Analysis course), but I'm skeptical towards my ability to pursue graduate Mathematics, much less my ability to actually do research. So, I'm here for advice. Without exposure to math research, and without exposure to engineering, how should I go about making a choice? More importantly, is there even a choice to make? Can I transition into a graduate engineering program as a pure math major? I've been looking around at some graduate engineering programs (mostly in Aerospace) and most require some sort of undergraduate engineering degree. Also, as far as engineering goes, I would also like to explore different possibilities there. Are there any resources that elaborate on different types of engineering and what jobs in those specialties might actually be like? If I sound a bit lost or scatter brained, I am, and I apologize. Any and all help is deeply appreciated.