When I enrolled at York, it was required that I sign a contract which laid out the IP situation. IIRC, this was fairly lenient in my favour, although this was for an undergraduate degree. I gather that the situation was different for PhD programmes. You have probably signed something like that too when you signed up, in among the endless paperwork. Dig it up and read it. Chances are you're safe as long as you don't use their equipment and facilities.
If there's any remaining doubt I'd probably try to solve the problem in advance by drafting a plain-English document which declares that the university has no rights to the works and get the advisor, the departmental head, and a relevant person who oversees research across the entire university to sign it. In fact, you probably have a dedicated person who oversees such matters at the university, so it may be best to take the draft to them directly and see if they have an equivalent standardised contract that they'll be more willing to sign than your draft.
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When I enrolled at York, it was required that I sign a contract which laid out the IP situation. IIRC, this was fairly lenient in my favour, although this was for an undergraduate degree. I gather that the situation was different for PhD programmes. You have probably signed something like that too when you signed up, in among the endless paperwork. Dig it up and read it. Chances are you're safe as long as you don't use their equipment and facilities.
If there's any remaining doubt I'd probably try to solve the problem in advance by drafting a plain-English document which declares that the university has no rights to the works and get the advisor, the departmental head, and a relevant person who oversees research across the entire university to sign it. In fact, you probably have a dedicated person who oversees such matters at the university, so it may be best to take the draft to them directly and see if they have an equivalent standardised contract that they'll be more willing to sign than your draft.