Complex algebraic and differential geometry, algebraic analysis, mathematical physics
38
Scholar Citations
4
Scholar h-index
2
Scholar i10-index
RECENT SCHOLAR PUBLICATIONS
Gevrey asymptotic implicit function theoremN NikolaevL’Enseignement Mathmatique 2024
Existence and Uniqueness of Exact WKB Solutions for Second-Order Singularly Perturbed Linear ODEsN NikolaevCommunications in Mathematical Physics, 1-55 2023
Exact Perturbative Existence and Uniqueness TheoremN NikolaevarXiv preprint arXiv:2201.04526 2022
Gevrey Asymptotic Existence and Uniqueness TheoremN NikolaevarXiv preprint arXiv:2201.04526 2022
Exact Solutions for the Singularly Perturbed Riccati Equation and Exact WKB AnalysisN NikolaevNagoya Mathematical Journal, 1-36 2022
Abelianisation of logarithmic -connectionsN NikolaevSelecta Mathematica 27, 1-35 2021
Young mathematicians’ columnA Matveeva, N Nikolaev, V Salnikov, A Garmendia, L RyvkinEuropean Mathematical Society Magazine, 40-43 2021
Triangularisation of Singularly Perturbed Logarithmic Differential Systems of Rank 2N NikolaevarXiv preprint arXiv:1909.04011 2019
Abelianisation of -Connections and Darboux Coordinates on their Moduli SpacesN Nikolaev 2018
Abelianisation of Logarithmic ConnectionsN NikolaevPhD Thesis, University of Toronto 2018
Reduction Theory and Dirac GeometryN NikolaevMaster’s thesis, University of Waterloo 2011
MOST CITED SCHOLAR PUBLICATIONS
Exact Solutions for the Singularly Perturbed Riccati Equation and Exact WKB AnalysisN NikolaevNagoya Mathematical Journal, 1-36 2022Citations: 13
Abelianisation of logarithmic -connectionsN NikolaevSelecta Mathematica 27, 1-35 2021Citations: 10
Existence and Uniqueness of Exact WKB Solutions for Second-Order Singularly Perturbed Linear ODEsN NikolaevCommunications in Mathematical Physics, 1-55 2023Citations: 7
Triangularisation of Singularly Perturbed Logarithmic Differential Systems of Rank 2N NikolaevarXiv preprint arXiv:1909.04011 2019Citations: 4
Gevrey asymptotic implicit function theoremN NikolaevL’Enseignement Mathmatique 2024Citations: 2
Exact Perturbative Existence and Uniqueness TheoremN NikolaevarXiv preprint arXiv:2201.04526 2022Citations: 1
Reduction Theory and Dirac GeometryN NikolaevMaster’s thesis, University of Waterloo 2011Citations: 1