Nathan Duignan

Nathan Duignan is a Senior Lecturer in the School of Mathematics and Statistics at The University of Sydney. His research areas include dynamical systems and ergodic theory, differential geometry, integrable systems, and mathematical physics. He is based in the Carslaw Building and supervises PhD students. Duignan's teaching includes MATH1050, and his personal web page provides further details on his research and academic activities. He is affiliated with the University of Sydney's Maths & Stats Library and contributes to the School's research and teaching programs.

Nathan Duignan is an academic fellow at the University of Sydney, specializing in Celestial Mechanics, Stellarators, Symplectic Geometry, Hamiltonian Mechanics, and Integrable Systems. His research explores the dynamics of celestial systems, focusing on the distinction between regular and chaotic orbits, the asymptotic behavior of n-body problems, and the regularization of binary collisions. He also investigates magnetic fields in plasma physics, particularly in stellarators, and contributes to the understanding of Hamiltonian systems through normal forms, symmetries, and multisymplectic geometry. His work emphasizes the interplay between analytical mechanics and geometric structures in both classical and modern physical systems.