Benjamin C. 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 spin model and the weakly self-avoiding walk with a nearest-neighbour contact attraction. My work at present involves applying a rigorous renormalisation group method in order to understand the appearance of critical behaviour in these models.
See my research statement for more information.
Critical two-point function for long-range O(n) models below the upper
With M. Lohmann and G. Slade, (2017).
Four-dimensional weakly self-avoiding walk with contact self-attraction.
With R. Bauerschmidt and G. Slade.
Journal of Statistical Physics,
Finite-order correlation length for 4-dimensional weakly self-avoiding walk
and |φ|4 spins.
With R. Bauerschmidt, G. Slade, and A. Tomberg.
Annales Henri Poincaré,
I am not currently teaching any courses. In the past, I have taught the following: