If I am writing my essay on only one novel, and I have made it clear in the previous sentence that the quote is from a character in said novel, do I still have to include the authors name in the parenthesis, or just the page number?
When a subsequent quotation is from the same work as the previous one, a page number is enough:
In Bob Foo's novel Living the Internet Life, the protagonist is posting comments on websites. His first comment is met with enthusiastic upvoting (34). The protagonist is happy and decides to post more comments (38).