I grew up in Syracuse New York with one brother.
How big of a city is Syracuse?
According to a 2010 census, the city had about 145,000 people and the metro area had about 662,000.
That is bigger than I expected.  I know that they have a pretty prestigious university there.  
Yes there is. also Syracuse New York is the biggest city with the name "Syracuse".
I did not know there were other cities with the name Syracuse
There are. And the university you were asking about is Syracuse University.