Haha.. a link back to my bad GRE score. Thanks for the reminder. :stupid:
On a serious note, thanks for the message about this post and I hope I can help clarify my background and experience. This may be better as a private message but the OP asked to post on this thread. Maybe it can help others with a low Quant.
My experience from the flyouts and phone calls/interviews was that my graduate classes, coauthor, and research interests were major factors in the decision process. I also submitted my thesis when they asked for a writing example or accepted additional information. I never asked or got a straight answer about my GRE score though. I would like to stress LORs because I believe I had very strong writers based on the relationships I developed from six years of interacting with them (UG and Grad at same University). My undergrad/grad school is more known for applied agriculture economics which sends students into the ag industry in the midwest. Most professors I talked to could not remember the last student going on to a PhD. I believe that was the second black mark on my application after my GRE score. I could not crack the top 40-50 but every school like U CO, U OR, Emory, U GA, and down the list of rankings I was accepted to and I think it may have been a risky decision on their part. My research interests were very focused and clearly stated for each school. I incorporated my interests of health economics into each statement of purpose down the to the professor, topics, publications, etc.. But be prepared to talk about these papers if the DGS calls, you have a phone interview with the committee, or go to a flyout because I was asked specific questions about the topics I stated in my SOP.
The outcome of my application cycle was 8 declines, 13 acceptances split roughly at the 45-55 rank (us news, and others..).
I'm not sure how admission committees will view your profile. I don't think your GRE will throw you out the running. I believe you will make the first cut and hopefully something will catch their attention when reviewing the applications. However, this is based on the assumption that schools review applications this way. After a few years on these forums, I believe this is an accurate assessment. Are you taking real analysis this coming semester? Has your school sent students to PhD programs? If so maybe your professors could comment on it better then anyone here (or the specific student may be available). If you are feeling quite risk averse maybe apply to a few more safeties? Or possibly wait a year and snag an RA position, retake GRE, and take a few more upper level math/econ classes?
Overall, after my impressions of the cycle if their are 'black marks' on your profile that are too late to fix don't draw attention to them in your SOP by making excuses. Make the strong parts of your profile standout in ways that the universal measure of success known as the GRE can't cover up.
I'm in math camp at the moment but I will check back from time to time if you have any further questions. Good luck and I hope my unorganized rambling helped.
Edit: I read one of your posts referring to my profile as an international applicant. I'm a domestic applicant to clear confusion.