In 1962, Falck co-founded the influential postwar British poetry magazine The Review with Oxford University schoolmates Ian Hamilton, Michael Fried, and John Fuller.
Among the poets to have brought their work to the fortnightly (now monthly) meetings of the group are Hugo Williams, Jo Shapcott, Ruth Padel, Eva Salzman, Adam Thorpe, Michael Donaghy, Don Paterson, Jane Duran.
His 1989 treatise Myth, Truth and Literature: Towards a True Postmodernism, attempted to re-think the entire foundation of Romantic art criticism since Kant.
The first chapter is a sustained polemic against what Falck argued was the nihilism and ontological emptiness of post-modernism and post-structuralist literary theory.
His view is not self-expressivist, however, since it denies the epistemological notion of a detached subject and situates the human being in the world in the manner of modern phenomenology...Art, for Falck, gives ontological truth.