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The Theory Group at the University of Michigan focuses on research that applies mathematical precision and techniques 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 resource tradeoffs—such as time complexity, memory usage, randomness, communication costs, and energy consumption—in both classical and quantum computing contexts. Faculty and students collaborate extensively within the division and with researchers from Mathematics, Electrical and Computer Engineering, Industrial and Operations Engineering, Atmospheric, Oceanic, and Space Science departments, as well as other university units.