There are many different potential topics with which you can compose essays based off of Miller's work. In looking at particular characters, I think that a very interesting one can be to discuss Proctor's evolution throughout the drama. Proctor's growth is one of the most important elements in the drama. Another particular topic could be to focus on how the marriage of Proctor and Elizabeth develops over the course of the play. Seeing how both of them interact with one another in Act II and then seeing how they are at the end of the play is something that can be explored. Another discussion point in terms of written exploration would be to discuss the motivations of Abigail, herself. I think that talking about Abigail's own experiences as a child and how she is in need of guidance, something that she believes can be given through her infatuation of Proctor would be something to explore throughout the drama. Naturally, another topic would be to compare Giles Corey as well as Miller's own testimony at the House UnAmerican Activities Committee. I think that being able to bring out both ideas and how both of them are similar could be another topic.