Schools Applying to Grad Schools Question

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Receiving a PGRE score of 820, which falls in the 76th percentile, raises concerns about the competitiveness of applying to top physics PhD programs like Stanford and Berkeley. However, the applicant's strong academic background, with a GPA of 3.83 and a major GPA of approximately 3.9 from a reputable state school, along with a publication in Nature as a co-author, significantly strengthens their application. The endorsement of a well-known professor for a recommendation letter further enhances their profile. While the PGRE score may be a hurdle, the combination of academic performance, research experience, and strong recommendations could still make admission to a top 10 school feasible. It is advisable for the applicant to discuss their chances with their research adviser for more personalized guidance.
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So I just got my PGRE score back and received a somewhat disappointing 820/76%

I was wondering if applying to top schools like Stanford and Berkeley for a physics PhD is out the question now.

I go to a big state school with a top 50ish physics program for undergrad with a GPA/Major GPA of 3.83/~3.9.

I recently received a publication in Nature as a co-author with a famous professor, and he is willing to write me a good recommendation. Is this enough to make going to a top 10 school realistic?
 
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What does your research adviser think of your chances?
 
I haven't talked to him yet about it much. I just finished my junior year and just found out my PGRE score today.
 

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