E. Mukhin

collaborators

4 papers

math.QA2026

Monodromy free SchrÃ¶dinger operators and affine $sl_{2}$ master functions

Andrei Grigorev, Evgeny Mukhin

Given a non-zero polynomial $P (x)$ , we study Fuchsian differential operators of the form $L = \partial_{x}^{2} - u (x)$ such that for all $I^» \in C$ the operator $L + I^» P (x)$ is monodr…

math-ph2026

Finding All Solutions of qKZ Equations in Characteristic $p$

Evgeny Mukhin, Alexander Varchenko

In [J. Lond. Math. Soc. 109 (2024), e12884, 22 pages, arXiv:2208.09721], the difference qKZ equations were considered modulo a prime number $p$ and a family of polynomial solutions…

math.NT2025

$p$ -curvature operators and Satake-type phenomenon for $sl_{2}$ KZ equations with $I^º = \pm 2$

Prakash Belkale, Evgeny Mukhin, Alexander Varchenko

The $sl_{2}$ KZ differential equations with values in the tensor power of the fundamental representation with parameter $I^º = \pm 2$ are considered. A Satake-type correspondence…

math.CV2025

Positivity and universal PlÃ¼cker coordinates for spaces of quasi-exponentials

Steven N. Karp, Evgeny Mukhin, Vitaly Tarasov

A quasi-exponential is an entire function of the form $e^{c u} p (u)$ , where $p (u)$ is a polynomial and $c \in C$ . Let $V = \langle e^{h_1u}p_1(u), \dots, e^{h_Nu}p_N(u) \ran…

Monodromy free SchrÃ¶dinger operators and affine sl2​ master functions

Finding All Solutions of qKZ Equations in Characteristic p

p-curvature operators and Satake-type phenomenon for sl2​ KZ equations with I^º=±2

Positivity and universal PlÃ¼cker coordinates for spaces of quasi-exponentials

Monodromy free SchrÃ¶dinger operators and affine $sl_{2}$ master functions

Finding All Solutions of qKZ Equations in Characteristic $p$

$p$ -curvature operators and Satake-type phenomenon for $sl_{2}$ KZ equations with $I^º = \pm 2$