<p>Medicine would be an ideal approach to the topics you find interesting. </p>
<p>For this orientation, the standard shadowing a doctor and doing clinical volunteer work is not particularly important. You are describing a research oriented goal, and so medical schools would be interested in your research background. The problem is, from what you describe, you do not have one.</p>
<p>You also seem not to have any background in neuroscience. By the time one has taken a couple of intro courses in neuroscience the medical school biology, chemistry, and organic chemistry required courses are done. It is difficult to go very far at all in neuroscience without them. It is also useful to know a little physics. </p>
<p>So it seems you could not have had enough exposure to neuroscience to really know what you think of it. Your challenge now, if that is what you want to do, is to get a strong enough science background to make this plan credible. Start taking the premed requirements this fall, and plan to get in at least a couple of neuroscience courses before you apply to medical school. You will probably need to do something after college before you apply because you will not have time to get the courses in by graduation.</p>
<p>For your goals, it would be ideal to work in someone's lab for a year or two while you finish your premed requirements and go a little beyond them in neuroscience. The problem will be, as an ec major, you may not have the background for a lab job. You might try looking for some of the areas of neuroscience that do not involve wet labs. </p>
<p>Another approach would be to get a masters in neuroscience to strengthen your science background. Again, the question would be whether you could get into the Princeton program with the limited science background you will have by graduation. </p>
<p>You should definitely talk to the undergrad advisor in neuroscience and see what you can take over the next two years of undergrad.</p>
<p>Your quantitative experience in math will be valuable in neuroscience, and departments are always interested in smart undergrads who discovered their fields relatively late.</p>
<p>With a very good gpa from Princeton and a SAT that predicts an excellent MCAT, you are nearly certain to get into med school if you follow a reasonable plan.</p>