In 1840 Baillarger was the first physician to discover that the cerebral cortex was divided into six layers of alternate white and grey laminae. Also the eponymous bands of Baillarger are named after another finding of his; these bands are two layers of white fibers that run parallel to the surface of the cerebral cortex.
In the field of psychiatry, Baillarger did research on the involuntary nature of hallucinations and the dynamics of the hypnagogic state, which is the intermediary stage between sleep and wakefulness. In 1854 he gave one of the first clinical descriptions of a bipolar disorder, which he called folie à double forme (dual-form insanity). Roughly at the same time another French psychiatrist, Jean-Pierre Falret described the same symptoms, which he referred to as folie circulaire (circular madness).