One-dimensional magnetism.- Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder.- Molecular magnetism.- Spin wave analysis of heisenberg magnets in restricted geometries.- Simulations of pure and doped low-dimensional spin-1/2 gapped systems.- Field-theoretical methods in quantum magnetism.- The coupled cluster method applied to quantum magnetism.- Integrability of quantum chains: Theory and applications to the spin-1/2 XXZ chain.- Quantum phases and phase transitions of Mott insulators.- Spin—Orbit—Topology, a triptych.

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