joga wrote:First of all congratulations on your admits. My few words
Given your interests I believe Rutgers seems to the best option! It has Henryk Iwaniec, possibly one of the best analytic number theorists the world has. Given that you should talk to him about being possible advisor. Also Tunnell and Kontorovich. Apart from the Rutgers has a strong algebra group and is close to Princeton as well as NYU and Columbia if you will.
I can't emphasize enough - rankings only matter to a point.
While I was a PhD student at NYU, I learnt Algebraic Geometry at columbia and there is some good interaction between the schools.
Also Rutgers has Mamouns - Shawarma and Falafel which is yummy!!!!!
Sony-SB has an amazing geometry program, with Lazarsfeld, Starr, and Cataldo. Starr is pretty arithmetic but really is a geometric person!
Its important to remember that you are in an active place with possible interactions with other schools if you can have that.
Have fun wherever you join
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