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Professor Miller's research focuses on problems in geometry, algebra, topology, probability, statistics, and computation, originating from mathematics, biology, chemistry, and computer science. His techniques include aspects of abstract algebraic geometry, commutative algebra, ideals, varieties, concrete metric and discrete geometry, as well as polyhedral spaces. He employs advanced topological constructs, equivariant K-theory, and stratified Morse theory in his work. He has published several significant papers in journals such as Advances in Mathematics and the Journal of Pure and Applied Algebra. Professor Miller has been involved in various projects funded by the National Science Foundation, aimed at training researchers and enhancing mentorship in STEM education. He holds a Ph.D. from the University of California, Berkeley, and a B.S. from Brown University. His ongoing work continues to contribute to the fields of algebra and geometry, particularly in relation to monomial ideals and lattice ideals.
Duke University • Durham, NC
Teaching and conducting research in Mathematics, focusing on geometry and algebra.
Department of Biomedical Engineering (MS program)