Cambridge uni phd pair looking for shared room

Hiya! We’re two male cambridge uni students looking for a place from October until the end of the year / early January. We’re looking for a place in London or Cambridge where we can share a single room. We’re both finishing up our phd theses, so we’re really quiet and not into partying or making noise. Is that doable, and what’s the rent if we share one room? Thanks a lot:))))