James Parkinson

James Parkinson is an Associate Professor in the School of Mathematics and Statistics at The University of Sydney. His research areas include Lie theory, group theory and generalisations, representation theory, combinatorics, dynamical systems and ergodic theory, computational algebra (Magma), and probability and stochastic processes. He teaches courses such as MATH1061 and MATH2922, and his personal web page provides additional information about his research and teaching activities.

James Parkinson is a mathematician at the University of Sydney, specializing in mathematics with a focus on algebraic structures and their combinatorial properties. His research explores topics such as affine buildings, Hecke algebras, and automorphisms in spherical and twin buildings. Parkinson's work investigates the interplay between combinatorics, representation theory, and geometric structures, particularly in the context of Coxeter groups and symmetric functions. His contributions include advancements in understanding opposition diagrams, distance regularity, and the classification of parabolic Hecke algebras. His research has implications for the study of automata, regular partitions, and the asymptotic behavior of representations in algebraic settings.