Benjamin C. Wallace
bwallace at math dot ubc dot caI am 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. My work at present involves the development and application of a rigorous renormalisation renormalisation group method for studying the critical behaviour of spin systems and models of selfinteracting walks.
See my research statement (last updated 03/2017) 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)
 PIMSCRM Summer School in Probability, PIMSUBC. 2017
 Probability Seminar, UBC. 2017
 Statistical Mechanics Seminar, University of Warwick. 2017
 Oberseminar Analysis, Universität Bonn. 2017
 Mathphys Analysis Seminar, IST Austria. 2017
 PIMS Postdoctoral Retreat in Stochastics, BIRS. 2015
I am not currently teaching any courses. In the past, I have taught the following:
 Winter 2016: Math 110, Differential calculus
 Fall 2014: Math 180, Differential calculus with physical applications
Renormalization group analysis of selfinteracting walks and spin systems (link)