Benjamin C. Wallace
bwallace at math dot ubc dot caI 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.
Interests
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 selfavoiding walk with a nearestneighbour 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.
Preprints

Critical twopoint function for longrange O(n) models below the upper
critical dimension.
With M. Lohmann and G. Slade, (2017).
(arXiv)

Fourdimensional weakly selfavoiding walk with contact selfattraction.
With R. Bauerschmidt and G. Slade.
Journal of Statistical Physics,
167:317350, (2017).
(JSP, arXiv) 
Finiteorder correlation length for 4dimensional weakly selfavoiding walk
and φ^{4} spins.
With R. Bauerschmidt, G. Slade, and A. Tomberg.
Annales Henri Poincaré,
18:375402, (2017).
(AHP, arXiv)
I am not currently teaching any courses. In the past, I have taught the following: