Montero, that's my paper, not Paradoxical's.
Lacan was both a practicing psychoanalyst and a psychoanalytic theorist who considered himself essentially a disciple of Freud. In literary theory and criticism, there are schools of thought and ways of approaching texts, such as Marxism, feminism, new historicism, and deconstruction - psychoanalytic theory is one of these forms of criticism and theory. It traditionally deals with issues like childhood development, id/ego/superego (or variants thereof), alienation, the Other, repression, etc.
My paper is focusing on some of Lacan's ideas of psychological behavior - how alienation occurs in society, how a child accepts his role in society through the idea of the name-of-the-father (essentially accepting the rule of law and authority), and how the individual relates to the big Other (which, simlified, means society and its structures) and the little Other, which is anything alien to you, even parts of yourself. It addresses the Corporation in the role of the big Other, and analyzes how the individual both must work within the sphere of the corporation's rules, but also feels alienated by them. He identifies with something which the Corporate Other has declared taboo - Replicants in Blade Runner, his own genetic impurity in Gattaca, the poor mutants/deformed of Ambient, the conservationists of Space Merchants, etc - and that identification heightens his alienation within the Corporation. However, the individual recognizes the corporation cannot be ignored or destroyed, so he must find a way to work within it to achieve the desires - a relation to the Lacanian idea that all desire exists within the field of the Other. For Gattaca, it's space travel funded and operated by the company. For Blade Runner, it's Deckard Cain's love of a replicant (also, indirectly, his own identity, but that's neither here nor there). For Space Merchants, it's also space travel, colonization of mars. These are all objectives created by and still attached to the corporate other.
So, long story short, I use Lacan's psychoanalysis ideas to look at how an individual in science fiction relates to the corporation, in a way that's more complex than 'it is evil and must be destroyed.' It's essentially my way of using academic language to justify literary merit in something that academia doesn't usually recognize as having merit. I'm sure there's something Lacan and Freud would have to say about that, but I just have fun with the irony.