With respect to hotels, we have no special deal with any hotel in Madrid, but the University is well communicated by public transport: the best option is by train (RENFE Cercanías - suburban rail). The train line passes through the train stations of Atocha, Sol, Nuevos Ministerios and Chamartín, therefore any hotel in that areas is a good option. If you want to enjoy Madrid in the free time, the central zone is the best option (Atocha and Sol areas).
Please find below a list of possible hotels in that areas.