Using generalized hydrodynamics (GHD), we exactly evaluate the finite-temperature spin
Drude weight at zero magnetic field for the integrable XXZ chain with arbitrary spin and easy …

The nineteen-vertex model of Fateev and Zamolodchikov on a periodic lattice with an anti-
diagonal twist is investigated. Its inhomogeneous transfer matrix is shown to have a simple …

Exactly solvable lattice models have found numerous applications to the theory of symmetric
functions among other areas of mathematics (See [1–7]). The terms solvable refers to the …

We construct a eight-vertex lattice model which includes two different types of freefermionic
Boltzmann weights. We show our model admits a solution to the Yang-Baxter equation …

Alternating sign matrices (ASMs), polytopes and partially-ordered sets are fascinating
combinatorial objects which form the main themes of this thesis. In Chapter 1, the origins …