Arcola Theatre - 27 Arcola St, London, E8 2DJ.

The nearest station is Dalston Kingsland (now part of the London Overground network, so you can use Oyster), and there are a multitude of Buses to Dalston from all-over London (30, 38, 67, 76, 149, & 243).

By Tube:

Tube to Highbury & Islington then Bus 30 or London Overground

Tube to Liverpool Street then bus 149