Just looking at some of the authorities with the highest current rates / more striking upward trajectories.
Swale (Kent) and West Lindsey (Lincolnshire) both just over 60 cases per 100,000 in the seven days to 11th October. In the 7 days to 15th November (and bearing in mind there will be further cases still to feed through) 618 and 533 cases per 100,000 respectively.
Then Thanet (also Kent) has gone in that same time period from 21 cases per 100,000 to 456 Dartford and Medway are also now at the 300 cases per 100,000 mark as compared with 50 and 34 in the week ending 11th October.
Some sort of East Coast thing - or East Coast and deprivation? Possibly as move north of the Thames and Essex, Suffolk and Norfolk all largely (bar just a handful of councils) below the English median. No sign of any significant Uni impact in Norwich.
Although deprivation does not explain Hastings - in 20 most deprived councils in England, but, at the moment at least, in the lowest 20 in terms of current cases per 100,000.