If your school and professors have little contact with the US then all the math courses and A's in the world will not get you into a top university.
The good news is that if your letter of recommendation you mentioned is indeed a well published professor then he/she will know people in the US because thats where most of the good journals/professors/programs are.
Talk to the best known/published professor you have and ask him directly where he thinks you should apply given your interests.
Also do not assume program A is easier to get into than program B just because it is ranked lower. It is hard to get into all the top programs and well known LORs are the key.
Regarding schools, here are my suggestions and comments:
Minnesota, NYU are both great choices. I didn't find NorthWestern a particularly macro school although it seemed great in general. Cornell?
I would add UPenn, Wisconsin, Chicago, UCLA, and Columbia. As for lower ranked programs (note: not "safties") I suggest the following list: Rochester, Texas, Georgetown and Boston U, maybe even Ohio and Indiana although this might not be necessary.
With the above you have maybe 15 places to narrow down to 10-12 and you could throw in MIT or Princeton while your at it if the applications fee is not to expensive for you....
All this conditional on your LORs advice. They know best...
Good Luck and hopefully you will make TestMagic proud!

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