MLA: in-text citations from one work - do I need to restate the author every paragraph?
You do not need to include the author's name in every citation, as long as you make it clear that you're only using one source.  I say this based on the MLA guidelines found here.
Specifically, you should look under the section "In-text citations: Author-page style", which states that the author's name doesn't need to be cited in the parentheses as long as he/she is mentioned in the text.