My current research uses techniques from algebraic geometry to study and resolve the singularities of integrable systems.
In 2013 I completed my honours year under the supervision of Prof. Nalini Joshi and Dr. Sarah Lobb. I studied the reductions and Lagrangian structures of integrable systems, and the effect of applying the reductions on the level of the Lagrangian.
Staircase reduction of the 7-point stencil of the discrete Euler-Lagrange equations of an ABS equation.
Travel in 2016
October: Painlevé Equations and Discrete Dynamics in Banff, Canada
August: Geometry at the ANU, Canberra
June/July: ASIDE and SIDE12 Symmetries and Integrability of Difference Equations conference in Montréal, Canada
May: NSF/CBMS Regional Research Conference on Discrete Painlevé Equations in Texas, USA