Benjamin Wallacebwallace at math dot ubc dot ca
I am presently a Ph.D. student in the Mathematics Department at UBC, where I am a member of the Probability Group. My supervisor is Gordon Slade.
Broadly speaking, I am interested in problems involving methods from probability theory and analysis. I am currently studying certain models of statistical physics, in particular the lattice |φ|4 model and the weakly self-avoiding walk. My work at present involves applying a rigorous renormalisation group method in order to understand critical phenomena in these models.
Finite-order correlation length for 4-dimensional weakly self-avoiding walk and |φ|4 spins, with R. Bauerschmidt, G. Slade, and A. Tomberg.
Online first at Annales Henri Poincaré.