“So I got into UW-Madison and NYU-Poly (now a part of NYU). I’m out of state for Madison. I got enough aid from NYU for them to be roughly equal as far as price is concerned.”
Did NYU really give you over $30k/year in FA? Because as it is, NYU is roughly $30k/year more expensive than Wisconsin.
“I’ve always wanted to live in big cities and NYC is the best of the best in that regard.”
Pragmatically, there is very little you can do in NYC. The city is designed for gainfully employed adults, not college students. As a college student, I should hope you will spend most of your time on/around campus, and for that, Wisconsin is in fact more suitable than NYU. Also keep in mind that NYU Poly’s campus is not in Manhattan (I think it is in Brooklyn).
“Poly’s JOB placement rate is 90% and its average mid-career SALARY is close to 120k, up there with the likes of MIT etc.”
$120k won’t get you very far in NYC. I am fairly certain that Wisconsin will attract at least as many (if not more) employers than NYU Poly for Chemical Engineering jobs. Starting salaries for Engineering graduates coming out of Wisconsin will not be lower than the starting salaries for Engineering graduates coming out of NYU Poly.
“The job and internship opportunities in NYC would be immense compared to Madison.”
I am not sure that is accurate. NYC isn’t home to more Chemical Engineering firms than the Midwest. Dow Chemical and 3M, two of the three largest Chemical firms in the US, have their HQs in the Midwest.
“Winters in Madison are supposedly brutal. New York is pretty cold too but significantly less apparently.”
Madison is definitely colder than NYU. Both have cold winters, but Madison’s is longer and more intense.
“I’ve lived in Islamabad, Pakistan for most of my life, where the temperature rarely reaches below freezing point (degree celsius) in winters, and as a result, weather is a very significant factor for me.”
I grew up in Abu Dhabi, which is possibly warmer than Islamabad, and I had no trouble adjusting to life in the Midwest. It takes some getting used to, but it is not as bad as you may think.
“So what would you recommend?”
I recommend Wisconsin. It is not even close really. Wisconsin’s program is significantly superior and the college experior at Wisconsin is better than the one at NYU Poly.