Co-Signer Liability

Greetings. I am a Danish citizen, born and raised. I have just gotten admission at East Carolina University. I am now applying for student loans with a US citizen co-signing. But my co-signer have some concerns regarding insurance and liability in case of any legal issues that may arise whilst I'm studying in the US. If I were to get into any kind of legal issue whilst studying in the US, would my co-signer on my student loans, then by liable to pay off my legal-debt? I fail to see how he can be put responsible for anything other than repaying the student loans he's co-signing, should I not make the repayments. I hope you can help me clarify this. Thank you in advance. Regards, Patrick Gold