The document discusses the need for critical urban research to adopt a more three-dimensional, "vertical" perspective in line with the radical vertical extensions of modern built environments. It highlights four main themes: 1) the cultural politics of the aerial view in urban planning, 2) the vertical dimensions of building up and down through structures like skyscrapers and underground complexes, 3) the new "military urbanism" dominated by vertical surveillance technologies, and 4) possibilities for vertical forms of counterpolitics and democratic urbanism. The document calls for connecting analyses of the vertical dimensions of cities to broader social, political, and ecological contexts of urban life.