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, reactive materials, biological systems, plasmas, and complex engineered processes are governed not only by differential equations, but also by geometric constraints, conservation laws, symmetries, and
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engineering involve physical systems that evolve over time while exhibiting rich mathematical structure. Fluid flows, reactive materials, biological systems, plasmas, and complex engineered processes
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mathematical representations of quantum states and processes, develop algorithms, and produce open-source scientific software Write peer-reviewed scientific articles and present research findings at major
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