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This conference will gather leading experts in the areas of mathematical physics, topological recursion, and low-dimensional topology to address recent advances and explore new connections between these fields. The theme of the first week December 14-17 is Quantum Invariants and Low-Dimensional Topology and the theme of the second week December 19-23 is Topological Recursion and Modularity. Interested participants should apply to MATRIX email@example.com for an invitation to participate. NSF funding for travel is available for some US based participants, particularly early career researchers.