H.R.112: To amend title 38, United States Code, to provide for the payment of stipends to veterans who pursue doctoral degrees in science or technology.

G.I. Advanced Education in Science and Technology Act - Directs the Secretary of Veterans Affairs to pay a monthly stipend to each individual who is entitled to veterans' basic educational assistance and is pursuing full-time a doctoral degree in the sciences of engineering, mathematics, or other technology disciplines. Allows such payment in addition to any other authorized Montgomery GI Bill educational assistance.

Makes such payment $1,200 a month (adjusted for inflation for fiscal years after 2005) for up to 60 months.