Allan's MS thesis involved a variational Monte Carlo study of confined quantum particles in external fields, which he successfully defended in 2008. He pursued further graduate studies at the Department of Physics of Osaka University. He obtained his PhD in Physics there doing research in theoretical high energy physics and cosmology, particularly on inflationary models of the universe. He is now an Associate Professor at the UP Los Baños Institute of Mathematical Sciences and Physics.
Variational Monte Carlo and a quantum well system in an external electric field: VMC algorithm implementation and a study of wavefunction, energy and particle confinement at the ground state