Matthew Nolan

I am studying my PhD under the supervision of Prof Nalini Joshi.
Matthew Nolan by Ted Sealey
My current research uses techniques from algebraic geometry to study and resolve the behaviour of singularities of integrable lattice equations.
In 2013 I completed my honours year under the supervision of Prof 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.