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Head of Department Room: 205 Top Logic |
Research InterestsStephen Buckley's main research interests lie in geometric analysis in the settings of Euclidean space, metric spaces, or metric measure spaces. He is particularly interested in various weak notions of negative or nonpositive curvature such as Gromov hyperbolicity, CAT(0), Busemann convexity, and the Ptolemaic inequality. He is also interested in quasiconformal mappings, potential theory, metric measure spaces, Gromov hyperbolicity, geometric function theory, and other fields in geometric and harmonic analysis. In particular, he has studied various types of Poincaré and Trudinger inequalities, over Euclidean and non-Euclidean spaces, especially the connection between such analytic inequalities and geometry. He is also interested in ring theory, especially conditions guaranteeing commutativity of rings. |