If you want to work on one of the processes in the fab (metrology, chemical vapor deposition, photolithography, etc) then an engineering degree (especially chemical engineering) may be your best bet.
If you want to design the chip architecture, then computer engineering is the degree path you want. Samsung has their own chip design subsidiary in Austin too, over on Highway 360 in west Austin, if I remember correctly, called SARC.
Austin Community College has associate degree programs designed for technicians.
I was a software engineer responsible for many of the internally-facing enterprise systems, as well as the intranet. I worked with all of these engineering departments on many different projects, so I had exposure to and visibility into many functional areas and processes of a truly global, high-tech manufacturing concern. In one of the random ways the universe has rolled the dice in my favor, one day a recruiter called me and asked, "Would you like to work for Samsung?"