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James Michael Hughes is an Assistant Research Professor in the Department of Mathematics at Duke University. He specializes in low-dimensional contact symplectic topology, focusing primarily on the study of invariants of Legendrian knots and exact Lagrangian fillings, particularly in relation to cluster theory. Hughes has a keen interest in the constructions of Legendrian surfaces, especially from a cluster-theoretic perspective. He is currently involved in research that includes the analysis of decompositions of augmentation varieties, Legendrian doubles, and their applications in cluster modular groups. His educational background includes a Ph.D. from the University of California, Davis, obtained in 2023. Hughes is actively engaged in both research and teaching, offering his office hours for student consultations and discussions about his work in the mathematical community.
Department of Biomedical Engineering (MS program)