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The Department of Chemical Engineering and Materials Science at the University of Minnesota boasts a rich tradition in applied and computational mathematics. The university pioneered supercomputing capabilities with the Minnesota Supercomputing Institute, while the Institute for Mathematics and its Applications has long fostered advancements in applied math. Within the department, the late Professor Neal Amundson, a former department head, is celebrated as a pioneer in applying mathematical analysis to chemical engineering challenges, cementing mathematics as fundamental to the department's materials science research. Computational and applied mathematics serves as both a framework for deciphering complex engineering systems and a catalyst for experimental discoveries. CEMS researchers are creating and utilizing sophisticated mathematical and computational techniques across diverse areas including solid-state materials, chemical processes, biological systems, and fluid mechanics. Current mathematical research spans analytical models, numerical simulations across scales (from atomic to macroscopic), and system-wide optimization and control strategies.