Pavel Galashin

activity

20132026

most citedThe totally nonnegative Grassmannian is a ball

33 citations · 284 across the 37 of their papers we have counts for

collaborators

Showing math.AGShow all

3 papers · 1 filter

math.AG2025

Comparing cluster algebras on braid varieties

Roger Casals, Pavel Galashin, Mikhail Gorsky +3

Braid varieties parametrize linear configurations of flags with transversality conditions dictated by positive braids. They include and generalize reduced double Bruhat cells, posi…

math.AG2023★ 3 cited

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 $G$ are cluster varieties. This includes open Richardson varieties inside the flag variety $G / B$ .

math.AG2021

Totally nonnegative critical varieties

Pavel Galashin

We study totally nonnegative parts of critical varieties in the Grassmannian. We show that each totally nonnegative critical variety Crit $_{f}^{\geq 0}$ is the image of an affine poset…