20 citations · 51 across the 13 of their papers we have counts for
13 papers
Solution to the Number Rotation Puzzle
Thomas Lam
The Number Rotation Puzzle (NRP) is a combination puzzle in which the goal is to rearrange a scrambled rectangular grid of numbers back into order via moves that consist of rotatin…
Polypositroids
Thomas Lam, Alexander Postnikov
We initiate the study of a class of polytopes, which we coin polypositroids, defined to be those polytopes that are simultaneously generalized permutohedra (or polymatroids) and al…
Dimers, webs, and positroids
Thomas Lam
We study the dimer model for a planar bipartite graph N embedded in a disk, with boundary vertices on the boundary of the disk. Counting dimer configurations with specified boundar…
Alcoved Polytopes II
Thomas Lam, Alexander Postnikov
This is the second of two papers where we study polytopes arising from affine Coxeter arrangements. Our results include a formula for their volumes, and also compatible definitions…
The shape of a random affine Weyl group element and random core partitions
Thomas Lam
Let be a finite Weyl group and be the corresponding affine Weyl group. We show that a large element in , randomly generated by (reduced) multiplication b…
A Pieri rule for skew shapes
Sami Assaf, Peter R. W. McNamara, Thomas Lam
The Pieri rule expresses the product of a Schur function and a single row Schur function in terms of Schur functions. We extend the classical Pieri rule by expressing the product o…