Yeah, I'd be raising it with the landlord and looking up the legalities.
It isn't often as simple as 'you need to ventilate more/run the heating more' though - as another poster touched on, some old properties are designed to be heated by fires, which heat the stone as well as the air. This heat then radiates out even after the fires are out, so the switch between warm/cold is much more gradual.
And you're meant to open windows to cool down, which is practical if you have fires burning but not practical if running central heating...
Some of these old properties have had damp proof courses fitted and impermeable insulation in the walls - but that doesn't help when the building is meant to breath, it'll stop water coming in from below ground floor level, or from outside in general.. but it also stops moisture travelling OUT from the inside - that moisture is produced by respirating animals (you) and by our activities - washing up, bathing, showering, drying wet laundry, running ineffecient dryers.
Put humans and their stuff and their actions into a property - seal that property up - heat the air not the structure so you get rapid fluctuations between hot/cold... you will get damp inside and you will then get mould.
And on top of all that, some very old properties were never really possible to manage well anyway, as they were badly constructed.
So long story short - likely this isn't resolvable by you or by the landlord, the property is not suitable as a rental and needs management that is beyond what a tenant can do.