As an international student, the airport will likely be the first stop when you come to Syracuse.
The address of Syracuse Hancock International Airport is listed below:
1000 Colonel Eileen Collins Blvd, Syracuse, NY 13212.
There is no general airport shuttle service that goes directly to and from the airport, except for some high-volume travel times (e.g. Thanksgiving Break and Spring Break) when the Syracuse University Student Association will supply shuttle services.
For detailed information, please refer to:
http://www.syr.edu/visiting/campusviews/directions.html
http://orientation.syr.edu/pdf/transportation.pdf
There is a taxi service at the airport for students who need to reach the campus from airport. The cost is approximately $20 one way. The service is supplied by Century Transportation (315-455-5151) and is available at one of the dispatch areas located near each baggage claim location.
For detailed information, please visit:
http://www.syrairport.org/ground/transport/taxi.cfm
The route from the airport to SUNY-ESF campus is showed below through Google Map.