Eugene Gorsky

activity

20242026

collaborators

6 papers

math.AG2026

Unexpected toric Richardson varieties

Eugene Gorsky, Soyeon Kim, Melissa Sherman-Bennett

We prove that an open Richardson variety in the complete flag variety for $GL_{n}$ is isomorphic to a torus if and only if the corresponding closed Richardson variety is tor…

math.AG2026

Smooth correspondences between quiver varieties

Nicolle GonzÃ¡lez, Eugene Gorsky, JosÃ© Simental

We introduce a new class of smooth correspondences between Nakajima quiver varieties called split parabolic quiver varieties, and study their properties. We use these correspondenc…

math.AG2025

Splicing braid varieties

Eugene Gorsky, Soyeon Kim, Tonie Scroggin +1

For a positive braid $I^^{2} \in Br_{k}^{+}$ , we consider the braid variety $X (I^^{2})$ . We define a family of open sets $U_{r, w}$ in $X (I^^{2})$ , where $w \in S_{k}$ is a per…

math.AG2025

Splicing skew shaped positroids

Eugene Gorsky, Soyeon Kim, Tonie Scroggin +1

Skew shaped positroids (or skew shaped positroid varieties) are certain Richardson varieties in the flag variety that admit a realization as explicit subvarieties of the Grassmanni…

math.RT2025

The elliptic Hall algebra and the double Dyck path algebra

Nicolle Gonzalez, Eugene Gorsky, Jose Simental

We show that the positive half $E_{q, t}^{>}$ of the elliptic Hall algebra is embedded as a natural spherical subalgebra inside the double Dyck path algebra $\mathbb{B}_{q…

math.CO2024

A geometric interpretation of the Delta Conjecture

Maria Gillespie, Eugene Gorsky, Sean T. Griffin

We introduce a variety $Y_{n, k}$ , which we call the \textit{affine $I^$ -Springer fiber}, generalizing the affine Springer fiber studied by Hikita, whose Borel-Moore homology has an…