Applying to Grad Schools Question

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Maffgeek
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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.