Matthew Nolan

Matthew Nolan by Ted SealeyI am studying my PhD under the supervision of Prof. Nalini Joshi.

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.

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

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