163 citations · 922 across the 75 of their papers we have counts for
87 papers
Monotone links in DAHA and EHA
Pavel Galashin, Thomas Lam
We define monotone links on a torus, obtained as projections of curves in the plane whose coordinates are monotone increasing. Using the work of Morton-Samuelson, to each monotone…
Braid variety cluster structures, II: general type
Pavel Galashin, Thomas Lam, Melissa Sherman-Bennett
We show that braid varieties for any complex simple algebraic group are cluster varieties. This includes open Richardson varieties inside the flag variety .
Effect of Boundary Conditions on Second-Order Singularly-Perturbed Phase Transition Models on
Thomas Lam
The second-order singularly-perturbed problem concerns the integral functional for a bounded open set $Ω\subsete…
Braid variety cluster structures, I: 3D plabic graphs
Pavel Galashin, Thomas Lam, Melissa Sherman-Bennett +1
We introduce -dimensional generalizations of Postnikov's plabic graphs and use them to establish cluster structures for type braid varieties. Our results include known clust…
Electrical networks and the Grove algebra
Yibo Gao, Thomas Lam, Zixuan Xu
We study the ring of regular functions on the space of planar electrical networks, which we coin the grove algebra. This algebra is an electrical analogue of the Plücker ring studi…
Plabic links, quivers, and skein relations
Pavel Galashin, Thomas Lam
We study relations between cluster algebra invariants and link invariants. First, we show that several constructions of positroid links (permutation links, Richardson links, grid d…