160 citations · 979 across the 51 of their papers we have counts for
60 papers
Algebraic Geometry of Electroid Varieties
Dawei Shen, Mia Smith, David E Speyer
Recent work of Lam, Bychkov-Gorbounov-Kazakov-Talalaev, and Chepuri-George-Speyer gave a stratification of the totally nonnegative Lagrangian Grassmannian into electroid cells para…
Shard modules
Will Dana, David E Speyer, Hugh Thomas
Motivated by the goal of studying cluster algebras in infinite type, we study the stability domains of modules for the preprojective algebra in the corresponding infinite types. Sp…
Richardson varieties, projected Richardson varieties and positroid varieties
David E Speyer
This is a survey article on Richardson varieties and their combinatorics. A Richardson variety is the intersection, inside the flag manifold GL_n/B_+, of a Schubert cell (B_- u B_+…
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…
Combinatorial descriptions of biclosed sets in affine type
Grant T. Barkley, David E Speyer
Let be a Coxeter group and let be its positive roots. A subset of is called biclosed if, whenever we have roots , and with $γ\in \mathbb{R}_{>0} α+ \…
Cohomology of cluster varieties. II. Acyclic case
Thomas Lam, David E. Speyer
In previous work, we initiated the study of the cohomology of locally acyclic cluster varieties. In the present work, we show that the mixed Hodge structure and point counts of acy…