I have been thinking lately about what I'm going to do with a graduate degree in math. Here is the situation. I personally don't think I can get a tenured professorship at a university that has a PhD program. I think I can get into a PhD program, but I don't think I can do the things I need to do (i.e. get the good postdoc and then try like mad to get a tenure track position). I'm not completely discarding that option, but I am trying to cover all my bases. My primary interests are differential geometry (I wouldn't mind working in comparison geometry or geometry related to physics, i.e. principle bundles and gauge connections) topology and physics. My main goal is to become a tenured professor in mathematical physics. Something like David Morrison, Sergei Gukov, Paul Aspinwall, or Roger Penrose. That is my ideal situation. I know how difficult this is to accomplish, so I'm being realistic and looking at over options. However I do plan on continuing to pursue mathematical physics in grad school. I do have a lot of interests not related to geometry/topology/math physics that could lead to a career outside of academia. I am interested in quantum computing and a few schools I am looking at have some quantum computing professors in the math department. I also do like some discrete math (in my school the discrete math was handled by the applied math department) and I took courses in computational geometry, stochastic analysis, graph theory, etc. and I liked the strong interaction with computer science. I took two probability courses and I did enjoy that as well. So I have been poking around for career options for a math phd. I looked on phds.org and a lot of the jobs seem to be related to computational finance/hedge funds. I know the money is great, but the hours are long, and if I'm going to work 70-80 hours a week, I want it to be something I care about. I know at Rutgers (who has a strong discrete math department) some of their PhD's ended at some tech companies like Google. I look at a lot of the mathematicians who have done meaningful work in physics, and a lot of them came from Harvard, MIT, Princeton, etc. I'm just trying to be realistic... I know academia is a rough and tumble world, I'm even considering applying to hybrid type PhD programs, like UPENN's new one: http://www.amcs.upenn.edu/AMCS/AMCSGrad.html [Broken] Any input, any advice, any critiques, anything is much appreciated.