Richard Burton

For Greenwood and Anderson, a crescendo in 'Phantom Thread'

The prospect of Jonny Greenwood — the notoriously spotlight-averse Radiohead multi-instrumentalist and classical composer — in a tux at the Oscars is especially tantalizing to "Phantom Thread" director Paul Thomas Anderson.

"He said, 'Either you come and you're dressed like an idiot, and that'd be brilliant. Or you come and you have to say something on stage, which would also be brilliant. So win-win for me,'" Greenwood said in a recent interview. "It's a kind of abuse, really, the way he treats me."

Just as Daniel Day-Lewis' obsessive fashion designer Reynolds Woodcock and his muse Alma (Vicky Krieps) carve out their own twisted harmony in...