I am currently a postgraduate student under the supervision of Prof. Nalini Joshi.
I have been studying the asymptotics of discrete equations. In particular, I have been looking into a class of problem known as q-discrete equations and trying to find a q-analogue for regular and exponential asymptotic methods.
I completed my honours year in 2013 under Prof. Joshi and Dr Christopher Lustri, studying exponential asymptotics of both continuous and discrete equations.
Exponentially small waves present in the far-field solution of the Frenkel-Kontorova model. The magnitude vanishes on the discrete points for which the solution is defined on.
Joshi, N.; Lustri, C. J. and Luu, S. (2017) Stokes phenomena in discrete Painlevé II. Proceedings of the Royal Society A, 473: 2198.
TRAVEL IN 2016
October: Painlevé Equations and Discrete Dynamics in Banff, Canada
June/July: ASIDE and SIDE12 Symmetries and Integrability of Difference Equations conference in Montréal, Canada