For international guests, it would be more convenient to fly to Shanghai Pudong International Airport (PVG) first:
http://www.travelchinaguide.com/cityguides/shanghai/pudong-airport.htm
Form the airport, you may take a direct bus to Wuxi from the long-distance bus station (don’t worry, it not that long distance, just a 3 hour bus ride : )
http://www.travelchinaguide.com/cityguides/shanghai/transportation/airport-shuttle-bus.htm
Or you may want to take the metro from the airport to Shanghai Hongqiao Railway Station (which will take one hour), then a high-speed train to Wuxi (38 minutes), but consider also the time for buying the train tickets:
http://www.travelchinaguide.com/cityguides/shanghai/transportation/hongqiao-railway-station.htm
After arriving in Wuxi, it is advised to take a taxi to Jiannan University, or to the hotel.
