DrNathan Duignan

Senior Lecturer

Faculty of Science

RESEARCH INTERESTs

  • Symplectic and Poisson geometry – structure, integrability, and reduction.
  • Hamiltonian and Lagrangian dynamics – stability, invariants, and geometric flows.
  • Volume-preserving and contact dynamical systems – with applications to plasma and fluid dynamics.
  • Geometric models in plasma physics – especially magnetic confinement and quasisymmetric stellarators.
  • Mathematical foundations of fusion energy – connecting geometric mechanics with computational and experimental plasma research.
  • Integrable and near-integrable systems – perturbation methods, KAM theory, and geometric phases.