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The Theory Group at the University of Michigan focuses on research that applies the mathematical precision and methodological rigor 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. The group explores 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 as well as with researchers from Mathematics, Electrical and Computer Engineering, Industrial and Operations Engineering, Atmospheric and Space Sciences, and other university departments.