I don't really like the idea of a space elevator. Lots of technical challenges, lots of cost, in the end you have an untested expensive system that you put into some sort of geosynchronous orbit, and if it crashes down after a week you have nothing to show for it.
Why not focus on a space gun? We have the technology to launch projectiles into orbit, and having the majority of the propulsion system on the ground where it is easily repairable is a definite benefit. I guess the idea is just not trendy enough to be researched.