Long Programs

Weaves and Plabic Graphs

Large deviations for random hives and the spectrum of the sum of two random matrices.

CFT on the lattice: the DGFF

2D Dirac Fermions from Dimers: coupling to a background connection

Towards a logarithmic conformal field theory of 2D critical percolation

"From quasi-symmetric to Schur expansions with applications to symmetric chain decompositions and plethysm”.

The \(\bold{n}\)-fold dimer model

Cluster expansions, snake graphs, and continued fractions

Properties of first passage percolation above the (hypothetical) critical dimension

Interacting particle systems, conditioned random walks and the Aztec diamond

Global asymptotics for β-Krawtchouk corners processes

Everything we know about higher-dimensional integer partitions

The Half-space Six-vertex Model

The multiplicative Horn problem : a positive formula for the product of conjugacy classes on the unitary group.

Arctic curves of the T-system with Slanted Initial Data

Saturation of ordered graphs

The rational symmetric functions from the Izergin—Korepin model (dilute O(n) Temperley—Lieb loop models)

Universality of the Critical Random-Cluster Model

Perfect matchings and spanning trees: squarishness, bijections and independence

Scaling limits in dimers and tableaux

Time-Scaling, Ergodicity, and Covariance Decay of Interacting Particle Systems

Statistical thermodynamics model and calculation of phase diagram for binary alloys

Algebraic approaches to orthogonal polynomial dualities of multi-species ASEP and stochastic vertex models.

we study percolation on an infinite family of graphs generated by G. In particular, in the supercritical phase, the vertices in the giant components give rise to a random field on G whose covariance matrix can be computed explicitly.