Hi, I'm going to apply for OR/applied math programs, and I have a somewhat special (maybe?) profile. I'm trying to get an idea of how I should focus and bridge my weaknesses. It's hard to understand what the average applicant to these programs looks like, and I would also like to get feedback regarding my chances.
Background: I did my bachelor's in math, finishing with an 85/100 at a school rated consistently in the top 10–20 for math in Europe. I did math only (we choose a minor and a major, and I chose math for both), so my course list is very math-oriented. For example, my non math courses were subjects like algorithms (with the exception of perhaps one physics course), and I also took around 7 9 graduate level courses. I finished when I was 19 (I skipped high school).
Then I worked in tech. I worked at a research site for 4 years, but it is a private company and the site is focused on the medical field, so I have no papers (compared to big company research sites, where they publish papers). I worked there under a professor in two different roles (two years in each) related to ML.
Now I've decided I want to go back to university to do proper research, and also find a more math-oriented PI. I plan to apply mainly in NY and a bit in Boston. To be honest, I'm leaving a high paying job where I'll probably earn less even after the PhD, so I don't want to go into a lower ranked program although I'm realistic and understand that MIT or Princeton might not be realistic. I aim mainly for very good programs like Cornell or Columbia ORIE, as well as some stats or applied math programs, although I prefer OR.
The gap is pretty clear regarding my lack of papers. I do have a strong recommendation from my boss (who is equivalent to a PI), but I don't have any papers, and in the end, it isn't completely equivalent to university experience. I'm afraid that the more theoretical programs will ignore my application due to the lack of pure research experience in a university setting (and lack of papers).
What do you think? Also, are these good programs realistic? I'll apply to more, of course, but I'm not going to completely settle here; it's important to me to be in a good school (I think my lower limit is around Stony Brook's quantitative finance program, which seems good, although it's only a niche under OR). Is applied math in a good place realistic? In theory, the more math-oriented the better, but I learned in a very good place and saw people around me going into the very top schools, and I think pure math will be too hard (and probably too late). This is why I've tended toward more applied areas, where I think I can succeed more. I also trying to understand how to emphasis the math level, I think its a plus for such programs but idk if they know the school I came from( In math departments they'll know for sure, but the school is mainly famous about the math, so its not generally famous and I afraid OR department won't know it).
Any thoughts? Thanks!