Corrigan authored Mud, Blood and Poppycock, one of the more recent histories of the First World War which challenges a number of popular cultural beliefs about that conflict. Among the targets for his book are the beliefs that British generalship was incompetent, blinkered and reactionary and that the military justice system was unfair. The book received a positive review from historian Gary Sheffield.[4] Corrigan later wrote Blood, Sweat and Arrogance: The Myths of Churchill's War in which he set out to demolish the "myths of Churchill's War". This book was criticised in a review by historian Piers Brendon, who wrote:[5]
"his tone, occasionally sneering, often patronising and always cocksure, is particularly tiresome in someone so prone to error. He makes the elementary mistake of asserting, for example, that a Russian declaration of war against Japan "never came".
His 2010 book on the Second World War, The Second World War: A Military History received positive reviews.