Limit shapes beyond dimers

Linear spaces of tilings

Dimers and geometry

Phase transitions in spanning trees

A variational principle for permutations(pdf)

Fixed-area harmonic functions

Discrete analytic functions and integrability

Phase transitions and integrability in the graph laplacian

The garnet recurrence and the Ising model

Laplacians and laminations

Integrable systems in the dimer model

The vector bundle Laplacian on graphs

Random discrete interfaces

Branched polymers