My son has been following Muse for about 5yrs and plays a lot of their stuff on his guitar.
I found them through him and my favourite album is Absolution.
Favourite tracks are Hysteria, Time is Running Out, Stockholm Syndrome and Sing for Absolution.
Muse are now one of the top 3 live bands on the planet and have a massive world-wide fan base.
Great Progressive Pomp-Rock!