You say that so casually. As someone with no experience in NLP, do you just have topic model algo's or a toolkit lying around? Going on your website this isn't your field of expertise, have you worked on this stuff in the past or just a hobby?
Enough to get by! I worked on this throughout university, and now at my startup. I was slightly blasé however! The corpus is tiny (173 episodes: http://www.chakoteya.net/ds9/episodes.htm), so a topic model is unlikely to yield anything valuable. There are probably around 10-15 arcs, and simple clustering could be better -- but this is purely hypothetical. In this case, it's simply curiosity.
