X-ray photons have very desirable properties: they carry a large momentum, are robust, have exceptional penetration depth, good detection efficiency and remarkable focusing potential, far from any practical diffraction-limit constraint. However, at present the degree of control over x-ray photons is far from what has been achieved at optical frequencies. We aim to design from theory side a new generation of photonic devices that will manipulate x-ray light by exploiting concepts of non-Hermitian and topological photonics. The talk will discuss the prospects of specially designed nanostructures which interact with x-rays via resonant transitions in atomic nuclei and implement robust and directional x-ray transport or nanoscale x-ray lasing. This would open so-far unexplored avenues for non-destructive quantum imaging and give access to the remarkable properties of x-ray photons for quantum applications.