He is Rafael Arutunian. Here is his bio from the Ice Castles website
(where Michelle now trains):

Freestyle, Choreography, Jump Technique

Rafael is a past Soviet National competitor and current National
Russian team coach. Rafael's coaching career has taken him to
England, working with the British National team, Scotland, Wales and
Ireland, but he has chosen Ice Castle International Training Center
as his permanent US base. Coach Arutunian is the long-time trainer of
two-time Russian National silver medalist Alexander Abt. He has also
worked with Anton Klykov, winner of the gold medal from Nebelhorne
Trophy. Rafael is a strong technical coach and works regularly on
quad jumps, which his students complete frequently in competition.

Quote from L.A. Times article:

Two-time Olympic medalist Michelle Kwan, eager to restore triple-
triple jumps to her program, switched coaches and is taking lessons
from Rafael Arutunian, a noted jump technician...

...Kwan said her collaboration with Williams "worked out perfect for
last year," when she had a light competition schedule, but added, "I
need to start training hard and skate more. I have to keep on pushing
myself and keep moving because the competition is becoming extreme,
with triple-triples and triple axels. I have to keep up with the
times."

Yay! Michelle is serious about competition! Can't wait to see what
she has improved on at the pro-am this Friday.