From the BBC:

Film director Paul Greengrass
Paul Greengrass is currently working on The Bourne Ultimatum
British director Paul Greengrass is to follow up his 9/11 film United 93 with a docu-drama about Iraq after the US-led invasion, according to reports.

He will film an adaptation of Rajiv Chandrasekaran's book Imperial Life in the Emerald City: Inside Iraq's Green Zone, according to trade paper Variety.

Chandrasekaran was Baghdad bureau chief for the Washington Post from 2003-04.

Greengrass has been praised for the way United 93 dramatised the crashing of a plane in Pennsylvania on 11 September.

I've seen the major films Greengrass has done: Bloody Sunday, Omagh, The Bourne Supremacy and, of course, United 93.

I've posted before on Chandrasekaran's book.