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Topological Phases of Matter and Quantum Computation Tamar Rudavsky how does membership in anThis volume contains the proceedings of the AMS Special Session on Topological Phases of Matter and Quantum Computation, held from September 24 25, 2016, at Bowdoin College, Brunswick, Maine. Topological quantum computing has exploded in popularity in recent years. Sitting at the triple point between mathematics, physics, and computer science, it has the potential to revolutionize sub disciplines in these fields. The academic importance of this field