Tyler Helmuth

Department of Mathematics
University of British Columbia
1984 Mathematics Road
Vancouver, BC, Canada V6T 1Z2

Email: jhelmt at subject dot school dot ca


Research interests

Probability, equilibrium statistical mechanics, and related combinatorics. I am particularly interested in models of excluded volume and hard-core interactions.

Academic Documents

Research Statement, Teaching Statement, Curriculum Vitae.

Papers

Preprints

Helmuth T., Ising Model Observables and Non-Backtracking Walks. Submitted arXiv. Most recent version.
This paper presents an alternative proof of the connection between the partition function of the Ising model on a finite graph G and the set of non-backtracking walks on G. The techniques used also give formulas for spin-spin correlation functions in terms of non-backtracking walks. The main tools used are Viennot's theory of heaps of pieces and turning numbers on surfaces.

Published

Non-Mathematical

Music in Vancouver: Western Front, microcosmos, New Music Vancouver, Music on Main.
Distractions: but does it float, Cabinet magazine, Nautilus.

Past Teaching

Math 102, Winter 2012
Math 105, Summer 2011