Nathan Duignan

I am an Academic Fellow in the School of Mathematics and Statistics at the University of Sydney. My research is focused on Hamiltonian systems, symplectic geometry, normal form theory, chaos, the \(n\)-body problem, regularisation of singularities, plasma physics and toroidal confinement devices, integrable systems, and measures of integrability.

From 2019-2021, I was a Postdoctoral Research Associate at the University of Colorado, Boulder, working closely with Professor James Meiss. In this role I researched the theoretical foundations of stellarators as part of the multi-disciplinary Simons Collaboration on Hidden Symmetries and Fusion Energy.

I obtained my PhD in applied mathematics from the University of Sydney in 2019. Advised by Professor Holger Dullin, my doctoral research, On the Regularisation of Simultaneous Binary Collisions, explored solutions to the \(n\)-body problem near collision orbits. The primary achievement was the resolution of a conjecture from 1999 on the curious behaviour of the simultaneous binary collision.