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The pages linked below are work in progress. Continue at your own risk!
As it says somewhere "Physics is forever trying to teach us algebra".
Here
we try to provide some material to support Physics in its efforts.
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Potts Models and Related Problems in Statistical Mechanics
Drafts of Sections for a 2nd Edition
For what its worth, some loose connections between Stat Mech and Number Theory are nicely collated
here
by Watkins.