  We present the elements of three applications of resummation methods in
non-Abelian gauge theories: (1), QED X QCD exponentiation and shower/ME
matching for LHC physics; (2), IR improvement of DGLAP theory; (3), resummed
quantum gravity and the final state of Hawking radiation. In all cases, the
extension of the YFS approach, originally introduced for Abelian gauge theory,
to non-Abelian gauge theories, QCD and quantum general relativity, leads to new
results and solutions which we briefly summarize.
