Nikita Nikolaev

@unige.ch

Postdoctoral Scholar, Section of Mathematics
University of Geneva

RESEARCH INTERESTS

Complex algebraic and differential geometry, algebraic analysis, mathematical physics
121

Scholar Citations

5

Scholar h-index

4

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Chewing gums, snakes and candle cakes
    B Facciotti, M Mazzocco, N Nikolaev
    arXiv preprint arXiv:2605.12572 , 2026
    2026
  • Decorated Local Systems and Character Varieties
    B Facciotti, M Mazzocco, N Nikolaev
    arXiv preprint arXiv:2603.18842 , 2026
    2026
    Citations: 1
  • Resurgence of Tritronquées Solutions of the Deformed Painlevé I Equation
    M Alameddine, O Marchal, N Nikolaev, N Orantin
    arXiv preprint arXiv:2503.12290 , 2025
    2025
    Citations: 1
  • Geometry and Resurgence of WKB Solutions of Schrödinger Equations
    N Nikolaev
    arXiv preprint arXiv:2410.17224 , 2024
    2024
    Citations: 5
  • Gevrey asymptotic implicit function theorem
    N Nikolaev
    L’Enseignement Mathématique 70 (1), 251-282 , 2024
    2024
    Citations: 2
  • 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
    2023
    Citations: 38
  • New cryptogamic records. 12
    VM Kotkova, OM Afonina, VI Androsova, EA Belyakov, AN Bersanova, ...
    Новости систематики низших растений 57, 244-301 , 2023
    2023
    Citations: 21
  • An Exact Perturbative Existence and Uniqueness Theorem
    N Nikolaev
    arXiv preprint arXiv:2201.04526 , 2022
    2022
    Citations: 2
  • Exact Solutions for the Singularly Perturbed Riccati Equation and Exact WKB Analysis
    N Nikolaev
    Nagoya Mathematical Journal, 1-36 , 2022
    2022
    Citations: 30
  • Abelianisation of logarithmic -connections
    N Nikolaev
    Selecta Mathematica 27, 1-35 , 2021
    2021
    Citations: 17
  • Young mathematicians’ column
    A Matveeva, N Nikolaev, V Salnikov, A Garmendia, L Ryvkin
    European Mathematical Society Magazine, 40-43 , 2021
    2021
  • Triangularisation of Singularly Perturbed Logarithmic Differential Systems of Rank 2
    N Nikolaev
    arXiv preprint arXiv:1909.04011 , 2019
    2019
    Citations: 3
  • 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
    2018
  • Reduction Theory and Dirac Geometry
    N Nikolaev
    Master's thesis, University of Waterloo , 2011
    2011
    Citations: 1

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
    2023
    Citations: 38
  • Exact Solutions for the Singularly Perturbed Riccati Equation and Exact WKB Analysis
    N Nikolaev
    Nagoya Mathematical Journal, 1-36 , 2022
    2022
    Citations: 30
  • New cryptogamic records. 12
    VM Kotkova, OM Afonina, VI Androsova, EA Belyakov, AN Bersanova, ...
    Новости систематики низших растений 57, 244-301 , 2023
    2023
    Citations: 21
  • Abelianisation of logarithmic -connections
    N Nikolaev
    Selecta Mathematica 27, 1-35 , 2021
    2021
    Citations: 17
  • Geometry and Resurgence of WKB Solutions of Schrödinger Equations
    N Nikolaev
    arXiv preprint arXiv:2410.17224 , 2024
    2024
    Citations: 5
  • Triangularisation of Singularly Perturbed Logarithmic Differential Systems of Rank 2
    N Nikolaev
    arXiv preprint arXiv:1909.04011 , 2019
    2019
    Citations: 3
  • Gevrey asymptotic implicit function theorem
    N Nikolaev
    L’Enseignement Mathématique 70 (1), 251-282 , 2024
    2024
    Citations: 2
  • An Exact Perturbative Existence and Uniqueness Theorem
    N Nikolaev
    arXiv preprint arXiv:2201.04526 , 2022
    2022
    Citations: 2
  • Decorated Local Systems and Character Varieties
    B Facciotti, M Mazzocco, N Nikolaev
    arXiv preprint arXiv:2603.18842 , 2026
    2026
    Citations: 1
  • Resurgence of Tritronquées Solutions of the Deformed Painlevé I Equation
    M Alameddine, O Marchal, N Nikolaev, N Orantin
    arXiv preprint arXiv:2503.12290 , 2025
    2025
    Citations: 1
  • Reduction Theory and Dirac Geometry
    N Nikolaev
    Master's thesis, University of Waterloo , 2011
    2011
    Citations: 1
  • Chewing gums, snakes and candle cakes
    B Facciotti, M Mazzocco, N Nikolaev
    arXiv preprint arXiv:2605.12572 , 2026
    2026
  • Young mathematicians’ column
    A Matveeva, N Nikolaev, V Salnikov, A Garmendia, L Ryvkin
    European Mathematical Society Magazine, 40-43 , 2021
    2021
  • 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
    2018