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Alan R Champneys is a Professor of Applied Non-linear Mathematics at the University of Bristol. His research primarily focuses on nonlinear waves and coherent structures, specifically localized pattern formation such as 'homoclinic snaking', and Swift-Hohenberg models within bi-stable media. He has applications of his research in various fields including nonlinear elastic buckling of cylinders and rods, ecology, and biology. Champneys is also involved in the modeling of active hearing in mammals, the biomechanics of mosquito hearing, and metabolomic modeling particularly in plant cells. His work encompasses mathematical modeling in areas like neuronal dynamics and industrial mathematics, addressing issues such as high blood pressure and energy technology market transitions. His projects have included predicting modeling for human-structure interactions and dynamic supply chains, showcasing a strong emphasis on the innovative intersection of mathematics with practical applications in healthcare and environmental engineering.
Department of Physics research themes include Astrophysics, Materials and Devices, Particle Physics, and Quantum and Soft Matter.