Admissions Rankings as a metric for the competitiveness of admissions

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The discussion centers on the correlation between the ranking of mathematics PhD programs and admission difficulty, particularly for a candidate with a strong academic background. The individual is considering a safety school ranked in the high 40s and is applying to several top-tier programs, expressing concerns about finding schools aligned with their research interests in mathematical physics and differential geometry. With a 4.0 GPA, substantial research experience, and a projected GRE score in the 70-90 percentile range, the candidate is optimistic about their chances of admission. Responses indicate that the candidate has a solid chance of acceptance, suggesting that applying to multiple top programs is advisable. Additionally, reaching out to the graduate director for insights on typical admitted student statistics is deemed appropriate.
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Hi, I was wondering how strong the correlation is (adjusting for size of program) between a mathematics departments ranking (e.g. from US News) and how hard it is to get admitted to the PhD program. I am asking because as of now my safety school is ranked in the high 40s and is fairly big (around 60 graduate students). Besides this one, I am applying to one top 10 and three top 25. It has been hard for me to find additional schools that I have a chance of getting into that are active in the area I'm interested in (mathematical physics/differential geometry). I have a 4.0 from a decent state university, a fair amount of research experience, and I'm guessing my subject GRE will be between 70-90 percentile. Can I bank on at least getting into my safety school? Would it be appropriate to e-mail the graduate director asking what the stats of a typical admitted student looks like?

Thanks so much!
 
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You have a 4.0, some decent research experience and a pretty good GRE. Of course you have some pretty good chances of getting in. You'll probably get in at least some of your top 4 picks as well, depending on how many students they're taking this year and the likes.
 
Yeah, your record sounds spotless. It looks like the only thing that could weigh you down is the subject GRE, but even 80-90th percentile is very good. I think you should apply to as many top programs as you can afford.
 
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