Your University is not the only one to block p2p network apps from working. Many Colleges block these sorts of apps as it can be a legal problem with the colleges, as well as the students.
There can be many ways to block users from establishing a p2p connection. Some may use a firewall and block the known ports these applications use, some may use a transparent application level proxy which will restrict what applications connect through the proxy, this can also be made to filter certain files you might try to download, ie. any file that ends with a .mp3. Then even more strict admins might and could impliment both.
One application known to do 'application traffic management' is 'Packeteer,' which is designed to also find P2P, monitor P2P usage, block P2P, control P2P, restrict P2P, and eliminate P2P from the network.
Another similar program designed for blocking users from connecting to these Kazaa networks is P2Pwall
How do you get around this strict policy? You shouldn't, for many reason's, if your college is using these tools to block you from accessing the p2p networks, then there might also be a rule in your student handbooks which forbids your using these sorts of applications on the LAN. IF you manage to get a program to connect and are downloading files via a p2p app, it will be simple for the admins to find out who is connecting and downloading what, and if your University's policy forbids this, you might find yourself without access to the lan, or even worse, suspsended from college.