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The fields of spintronics, quantum magnetism, topological matter, and quantum criticality have seen progress with breakthroughs in concepts, techniques, and materials. The unifying goals of these fields are to understand novel collective effects that arise in quantum condensed matter systems with common underlying physics, often united through topology and common symmetries. Despite these common goals, these areas of research are still largely unconnected. This program will offer an opportunity for synergies and defining of new directions.