Nikita Nikolaev

@unige.ch

Postdoctoral Scholar, Section of Mathematics
University of Geneva



              

https://researchid.co/nikolaev

RESEARCH INTERESTS

Complex algebraic and differential geometry, algebraic analysis, mathematical physics

68

Scholar Citations

3

Scholar h-index

2

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Resurgence of Tritronques Solutions of the Deformed Painlev I Equation
    M Alameddine, O Marchal, N Nikolaev, N Orantin
    arXiv preprint arXiv:2503.12290 2025

  • Geometry and Resurgence of WKB Solutions of Schrdinger Equations
    N Nikolaev
    arXiv preprint arXiv:2410.17224 2024

  • Gevrey asymptotic implicit function theorem
    N Nikolaev
    L’Enseignement Mathmatique 70 (1), 251-282 2024

  • Existence and Uniqueness of Exact WKB Solutions for Second-Order Singularly Perturbed Linear ODEs
    N Nikolaev
    Communications in Mathematical Physics 400 (1), 463-517 2023

  • An Exact Perturbative Existence and Uniqueness Theorem
    N Nikolaev
    arXiv preprint arXiv:2201.04526 2022

  • Exact Solutions for the Singularly Perturbed Riccati Equation and Exact WKB Analysis
    N Nikolaev
    Nagoya Mathematical Journal, 1-36 2022

  • Abelianisation of logarithmic -connections
    N Nikolaev
    Selecta Mathematica 27, 1-35 2021

  • Young mathematicians’ column
    A Matveeva, N Nikolaev, V Salnikov, A Garmendia, L Ryvkin
    European Mathematical Society Magazine, 40-43 2021

  • Triangularisation of Singularly Perturbed Logarithmic Differential Systems of Rank 2
    N Nikolaev
    arXiv preprint arXiv:1909.04011 2019

  • Abelianisation of -Connections and Darboux Coordinates on their Moduli Spaces
    N Nikolaev
     2018

  • Abelianisation of Logarithmic Connections
    N Nikolaev
    PhD Thesis, University of Toronto 2018

  • Reduction Theory and Dirac Geometry
    N Nikolaev
    Master's thesis, University of Waterloo 2011

MOST CITED SCHOLAR PUBLICATIONS

  • Existence and Uniqueness of Exact WKB Solutions for Second-Order Singularly Perturbed Linear ODEs
    N Nikolaev
    Communications in Mathematical Physics 400 (1), 463-517 2023
    Citations: 24

  • Exact Solutions for the Singularly Perturbed Riccati Equation and Exact WKB Analysis
    N Nikolaev
    Nagoya Mathematical Journal, 1-36 2022
    Citations: 22

  • Abelianisation of logarithmic -connections
    N Nikolaev
    Selecta Mathematica 27, 1-35 2021
    Citations: 9

  • Triangularisation of Singularly Perturbed Logarithmic Differential Systems of Rank 2
    N Nikolaev
    arXiv preprint arXiv:1909.04011 2019
    Citations: 3

  • Abelianisation of Logarithmic Connections
    N Nikolaev
    PhD Thesis, University of Toronto 2018
    Citations: 3

  • Geometry and Resurgence of WKB Solutions of Schrdinger Equations
    N Nikolaev
    arXiv preprint arXiv:2410.17224 2024
    Citations: 2

  • Gevrey asymptotic implicit function theorem
    N Nikolaev
    L’Enseignement Mathmatique 70 (1), 251-282 2024
    Citations: 2

  • An Exact Perturbative Existence and Uniqueness Theorem
    N Nikolaev
    arXiv preprint arXiv:2201.04526 2022
    Citations: 2

  • Reduction Theory and Dirac Geometry
    N Nikolaev
    Master's thesis, University of Waterloo 2011
    Citations: 1