**
****David C. Brydges
**

University of British Columbia

**Citation:**
"*For achievements in the fields of constructive quantum field theory and rigorous statistical mechanics, especially the introduction of new techniques including random walk representations in spin systems, the lace expansion, and mathematically rigorous implementations of the renormalization group.*"

**Background:**
David C. Brydges received his BA in Physics from Cambridge University
in 1970 and his Ph.D. in Mathematics from the University of Michigan
in 1976. His thesis advisor was Paul Federbush and his postdoctoral
work was with James Glimm at Rockefeller University. He became a
Commonwealth Professor at the University of Virginia and later Canada
Research Chair at the University of British Columbia in
Vancouver. He has been professor emeritus since 2014.
From 2003 to 2005, he was president of the International Association
of Mathematical Physics. In 2007 he was elected Fellow of the Royal
Society of Canada. In 2010 he was an Invited Speaker at the
International Congress of Mathematicians in Hyderabad.
His best known work was with other authors. It includes: a random walk
representation that led to many results in probability, statistical
mechanics and quantum field theory; the Lace expansion for the
end-to-end distance of self-repelling walk in dimension five or more;
exponential decay of correlations in Coulomb systems (Debye
screening); a Tree Graph Identity to prove convergence of expansions
in statistical mechanics; the isomorphism of hard spheres in dimension
$d$ with branched polymers in dimension $d+2$ (a rigorous instance of
Parisi-Sourlas dimensional reduction); verification of Wightman axioms
for the Abelian Higgs quantum field theory in two dimensions.