Benjamin C. Wallacebwallace at math dot ubc dot ca
I 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.
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 self-interacting walks.
See my research statement (last updated 03/2017) 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,
- PIMS-CRM Summer School in Probability, PIMS-UBC. 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 self-interacting walks and spin systems (link)