Best Cities for Mathematical Study This may sound silly, but... Suppose an aspiring amateur mathematician wanted to plan to move to another city...
What are some cities that are home to some of the largest number of the brightest mathematicians? I'm sure this may depend on university presence, or possibly industry presence, or possibly something surprising. Wondering where the best place to take a non-faculty job at a university and try to make friends with some sharp minds in the computer lab or at the nearby pub might be.

I would think it depends largely on your personality type. Do you thrive in slow, peaceful
  environments, or do you prefer a faster environment with more variety?. I am in NYC
  and love it, but my friend prefers U of Florida in Gainesville, which is not that slow
  of a place, but he has the option of going to the country--real country, on the weekends
  ( if you want real country in NYC , you need to travel a few hours). Also, there are
  school environments that are more casual than others. I took  a class at Columbia,
  and many of the people there were a bunch of a-holes, who pretended not to know you when they saw you outside of class, even after you had taken classes with them for a whole semester, even a whole year. I think there are books out there that rate graduate programs, using many different parameters. If you are interested in getting a hold of these books and can't find thme, let me know and I will get you the actual title(s). 
Good Luck!
