Benjamin C. Wallace
I am currently a postdoc at IST Austria in the Erdös group.I completed my PhD in the Mathematics Department at UBC, where I was a member of the Probability Group. My advisor was Gordon Slade.
For the learning seminar on selfavoiding walk, spin systems, and renormalisation, click here.
Contact
IST Austria
Am Campus 1
3400 Klosterneuburg
Austria
bwallace at ist dot ac dot at
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 group method for studying the critical behaviour of spin systems and models of selfinteracting walks.
See my research statement (last updated 03/2017) and my CV for more information.
Publications

Critical twopoint function for longrange O(n) models below the upper
critical dimension.
With M. Lohmann and G. Slade.
Journal of Statistical Physics,
169:11321161, (2017).
(JSP, 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)
 Probability seminar, University of Cambridge. 2018
 Séminaire de probabilités et physique statistique, l'IHÉS. 2017
 Probabilistic Approaches in Mathematical Physics, BCAM. 2017
 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 currently running a learning seminar on selfavoiding walk, spin systems and renormalisation. See here for more information.
In the past, I have taught the following: Thesis
Renormalization group analysis of selfinteracting walks and spin systems (link)