Nikita Nikolaev

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20192026

most citedExistence and Uniqueness of Exact WKB Solutions for Second-Order Singularly Perturbed Linear ODEs

16 citations · 39 across the 10 of their papers we have counts for

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math.CA2019

Triangularisation of Singularly Perturbed Logarithmic Differential Systems of Rank 2

Nikita Nikolaev

We study singularly perturbed linear systems of rank two of ordinary differential equations of the form $ℏ x \partial_{x} ψ (x, ℏ) + A (x, ℏ) ψ (x, ℏ) = 0$ , with a regul…

math.AG2019★ 6 cited

Abelianisation of Logarithmic $sl_{2}$ -Connections

Nikita Nikolaev

We prove a functorial correspondence between a category of logarithmic $sl_{2}$ -connections on a curve $X$ with fixed generic residues and a category of abelian logarithmi…

Triangularisation of Singularly Perturbed Logarithmic Differential Systems of Rank 2

Abelianisation of Logarithmic sl2​-Connections

Abelianisation of Logarithmic $sl_{2}$ -Connections