I have also seen some work on doing collision checking for robot arm kinematics -- which is a rather nasty problem when done the traditional way.
[edit to add] Also all the classic RF transmission line problems that one would normally solve with Smith Chart techniques map fairly elegantly onto GA(2)
* neural computing
* image and signal processing
* computer and robot vision
* control problems
1: https://arxiv.org/pdf/1305.5663.pdf