He's using the impact hammer, elevator and dodge jumping with the boots.  Like in UT99 with the elevator, when you reach the top you quickly jump and you get extra height, he's pressing jump again to activate the jump boots to get to the top of those towers.  He says the dodge jumping and impact hammer give him more distance (he's picking up heath and armor because you will loose health with the impact hammer).  Look at the first link with the thread, he explains some of what he does.