Now, I see two real routes I can go:
- I can stick with doing computational stuff and focus on numerical relativity, which has become a really big field over the last few years (in no small part due to LIGO). I already have a decent amount of experience with numerical methods and a lot of the questions in this field, but I'm really concerned about becoming a code monkey. Apparently I have a knack for debugging numerical codes, so that's what I end up doing most of the time when I would rather be tackling the physics questions. Some of it's pretty interesting, like making pretty pictures or searching for physical constraints and restrictions on a system so we can make better estimates and improve the accuracy of our simulations, but a lot of the time I'm just cleaning up someone else's mess (like optimizing/rewriting badly written packages so our simulations can run within the expected lifetime of the Sun).
- I can transition into a more analytical route that leads to things like theories of quantum gravity, black hole thermodynamics, or other topics like that. My concern here, though, is that I'll end up in a group somewhere that is more fixated on the mathematical intricacies than the physical questions. I attended a gravity conference a couple months ago and noticed that an unfortunate number of my peers at other universities were presenting not on physics problems, but rather math problems, like the person who spent nearly an entire 18 minute presentation just discussing whether or not a particular equation was meromorphic, or the student whose entire research was basically exercises in group theory applied to the Einstein equations (which were too mathematically trivial to interest the mathematicians and too lacking in physical connections to excite the physicists). I'm sure these are important questions to someone, but there was absolutely zero attempt at explaining the relevance of these mathematical results to physical problems, and that bothered me a little.
Long story short, I'm worried that I'll either turn into a code monkey or a bad mathematician. For those of you who have experience (or know someone who does) in computational or theoretical physics (not necessarily just gravity), what has it been like for you, and how likely is either outcome? What have you enjoyed about your field, and what has been difficult or not particularly pleasant about it? Any additional perspectives or insights would be welcome.