Syracuse University is a (real) private university in upstate New York.
Wikipedia link: Syracuse University.
Syracuse's own web site can be found at http://www.syr.edu.
In the Spearfish Lake Tales universe it is where Eve Riley and Paul McClellan earned their master's degrees in Psychology and Math respectively.
Note that in the book Rocinante, there is a (fictional) town named Syracuse located along the Camden and Spearfish Lake Railroad.