Chomsky is one of the theorists of language, but he himself has stated that his ideas have little application in the classroom. However, I feel that his ideas are worth reading.
For language teaching theory, there are many, but I'll give you a few:
Communicative teaching- Candlin and Widdowson
Lexical- Michael Lewis
Syllabuses (functional\notional) Wilkins
I recommend Whorf highly, though many find his ideas controversial
For usage, I like Michael Swan
For computer based views of language the Cobuild and Longman teams have a lot to offer.
Hello, I'm a new member here so nice to meet everyone
I'm interested in SLA theories very much and I would apprieciate if you could tell me where to find information about Bakhtin's as well as Fodor's Theory. They are not quoted in e.g. Ellis (The Study of SLA) or other publications that I have access to.