LHC (Large Hadron Collider) "... remains one of the largest and most complex experimental facilities ever built". May be it is even the most complex project in humankind's history(?).
Such projects usually have impact beyond their original target and boost science and technology in a non-trivial way.
So I wonder what kind of impact it has/(might have) on mathematics (if any), and what specific impact had mathematics (or might have) on the LHC project (if any)?