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20192026
most citedSymplectic Duality of

10 citations · 16 across the 7 of their papers we have counts for

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math.AG2026

The quantum Hikita conjecture via quasimaps

Hunter Dinkins, Ivan Karpov, Vasily Krylov

We propose a refinement of the quantum Hikita conjecture of Kamnitzer, McBreen, and Proudfoot that bridges the representation theory of Coulomb branches with the enumerative geomet…

math.AG2025

Vertex functions for bow varieties and their Mirror Symmetry

Tommaso Maria Botta, Hunter Dinkins

In this paper, we study the vertex functions of finite type A bow varieties. Vertex functions are K-theoretic analogs of I-functions, and 3d mirror symmetry predicts that the q-dif…

math.AG2024

Wreath Macdonald polynomials, quiver varieties, and quasimap counts

Jeffrey Ayers, Hunter Dinkins

We study the -theoretic enumerative geometry of cyclic Nakajima quiver varieties, with particular focus on , the equivariant Hi…

math.AG2022

Exotic Quantum Difference Equations and Integral Solutions

Hunter Dinkins

One of the fundamental objects in the -theoretic enumerative geometry of Nakajima quiver varieties is known as the the capping operator. It is uniquely determined as the fundame…

math.AG2021

Euler characteristic of stable envelopes

Hunter Dinkins, Andrey Smirnov

In this paper we prove a formula relating the equivariant Euler characteristic of -theoretic stable envelopes to an object known as the index vertex for the cotangent bundle of…

math.AG2021

Elliptic stable envelopes of affine type quiver varieties

Hunter Dinkins

We generalize Smirnov's formula for the elliptic stable envelopes of the Hilbert scheme of points in to the case of affine type Nakajima quiver varieties constru…