Hey @insaneginger. Welcome to the forums! Might I suggest trying the search function. We have discussed this many times before. Here is my thread on it: http://forums.elderscrollsonline.com/en/discussion/137561/feature-suggestions-for-an-eso-companion-mobile-app/p1

I have said in that thread that to research/craft/have bank access offline I would think we should be logged out in a town. That way a player cant just log-out in a dungeon... research, deconstruct, etc.... and then log back into the dungeon without visiting the town.