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The Theory Group at the University of Michigan focuses on research that applies mathematical precision and rigorous methods characteristic of theoretical computer science. Their work spans diverse fields including combinatorial optimization, data structures, cryptography, quantum computing, parallel and distributed systems, algorithmic game theory, graph theory, geometry, combinatorics, and energy-efficient computing. They explore fundamental tradeoffs between key computational resources like time complexity, memory usage, randomness, communication overhead, and power consumption, examining both classical and quantum computing paradigms. Faculty and students collaborate extensively within the division and across departments, partnering with experts from Mathematics, Electrical and Computer Engineering, Industrial and Operations Engineering, Atmospheric and Space Sciences, and other university units.