# Nathan Duignan

Homepage.

Office 606, Carslaw F07,

University of Sydney, NSW 2006

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.