## Nikolaev, Igor Vasilievich

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 Author ID: nikolaev.igor-vasilievich Published as: Nikolaev, Igor V.; Nikolaev, Igor; Nikolaev, I. V.; Nikolaev, I. Homepage: http://www.stjohns.edu/academics/bio/igor-nikolaev-phd External Links: MGP · ResearchGate · Math-Net.Ru · dblp · GND
 Documents Indexed: 59 Publications since 1990, including 3 Books Reviewing Activity: 157 Reviews Co-Authors: 6 Co-Authors with 13 Joint Publications 323 Co-Co-Authors
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### Co-Authors

 45 single-authored 6 Bronshteĭn, Idel Usherovich 5 Vulpe, Nicolae I. 2 Zhuzhoma, Evgeniĭ Viktorovich 1 Aranson, Samuil Khaĭmovich 1 Boscain, Ugo 1 Glubokov, Andrey 1 Piccoli, Benedetto
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### Serials

 5 Proceedings of the American Mathematical Society 4 Buletinul Academiei de Științe a Republicii Moldova. Matematica 3 Differential Equations 2 Ergodic Theory and Dynamical Systems 2 Journal of Mathematical Sciences (New York) 2 Annals of Functional Analysis 1 Communications in Algebra 1 Houston Journal of Mathematics 1 Nonlinearity 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Czechoslovak Mathematical Journal 1 Hokkaido Mathematical Journal 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Topology and its Applications 1 Acta Applicandae Mathematicae 1 Differential Geometry and its Applications 1 Indagationes Mathematicae. New Series 1 New Zealand Journal of Mathematics 1 Finite Fields and their Applications 1 The New York Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 The Ramanujan Journal 1 Far East Journal of Mathematical Sciences 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Missouri Journal of Mathematical Sciences 1 De Gruyter Studies in Mathematics 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Lecture Notes in Mathematics 1 Journal of Generalized Lie Theory and Applications 1 Complex Analysis and Operator Theory 1 Surveys in Mathematics and its Applications 1 Advances in Pure and Applied Mathematics 1 Journal of Function Spaces 1 Nonlinear Analysis. Theory, Methods & Applications
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### Fields

 34 Functional analysis (46-XX) 17 Manifolds and cell complexes (57-XX) 13 Algebraic geometry (14-XX) 12 Number theory (11-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Associative rings and algebras (16-XX) 3 Differential geometry (53-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

22 Publications have been cited 96 times in 79 Documents Cited by Year
Flows on 2-dimensional manifolds. An overview. Zbl 1022.37027
Nikolaev, Igor; Zhuzhoma, Evgeny
1999
Topological classification of quadratic systems at infinity. Zbl 0869.34027
Nikolaev, Igor; Vulpe, Nicolae I.
1997
Graphs and flows on surfaces. Zbl 0937.37024
Nikolaev, Igor
1998
Peixoto graphs of Morse-Smale foliations on surfaces. Zbl 0881.57027
Bronstein, Idel; Nikolaev, Igor
1997
Qualitative theory of foliations on closed surfaces. Zbl 0948.53048
Aranson, S. Kh.; Bronstein, I. U.; Zhuzhoma, E. V.; Nikolaev, I. V.
1998
On traces of Frobenius endomorphisms. Zbl 1282.14044
Nikolaev, Igor
2014
Foliations on surfaces. Zbl 0957.57001
Nikolaev, Igor
2001
On a symmetry of complex and real multiplication. Zbl 1410.11062
Nikolaev, Igor V.
2016
Noncommutative geometry. A functorial approach. Zbl 1388.14001
Nikolaev, Igor V.
2017
Remark on the rank of elliptic curves. Zbl 1207.11064
Nikolaev, Igor
2009
Orbital normal forms and bifurcations of fields of linear elements on the plane. Zbl 0861.34019
Bronshtein, I. U.; Nikolaev, I. V.
1995
On embedding of the Bratteli diagram into a surface. Zbl 1145.46039
Nikolaev, Igor V.
2008
Non-wandering flows on the 2-manifolds. Zbl 1001.37034
Nikolaev, Igor
2001
Structurally stable fields of line elements on surfaces. Zbl 0990.37015
Bronshteyn, Idel; Nikolaev, Igor
1998
On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras. Zbl 1163.14309
Nikolaev, Igor V.
2009
Topological classification of quadratic systems with a unique finite second order singularity with two zero eigenvalues. Zbl 0842.34032
Nikolaev, I. V.; Vulpe, N. I.
1993
Smooth orbital equivalence in a neighborhood of a critical point on a plane. Zbl 0852.34026
Bronshtein, I. U.; Nikolaev, I. V.
1994
Noncommutative geometry of algebraic curves. Zbl 1178.14025
Nikolaev, Igor V.
2009
Topological classification of quadratic systems with a unique third-order singular point. Zbl 0913.34025
Vulpe, N. I.; Nikolaev, I. V.
1992
On algebraic values of function $$\exp (2\pi i x+\log \log y)$$. Zbl 1423.11123
Nikolaev, Igor
2018
Riemann surfaces and $$AF$$-algebras. Zbl 1356.46060
Nikolaev, Igor
2016
Mapping class groups are linear. Zbl 1451.30089
Nikolaev, Igor V.
2018
On algebraic values of function $$\exp (2\pi i x+\log \log y)$$. Zbl 1423.11123
Nikolaev, Igor
2018
Mapping class groups are linear. Zbl 1451.30089
Nikolaev, Igor V.
2018
Noncommutative geometry. A functorial approach. Zbl 1388.14001
Nikolaev, Igor V.
2017
On a symmetry of complex and real multiplication. Zbl 1410.11062
Nikolaev, Igor V.
2016
Riemann surfaces and $$AF$$-algebras. Zbl 1356.46060
Nikolaev, Igor
2016
On traces of Frobenius endomorphisms. Zbl 1282.14044
Nikolaev, Igor
2014
Remark on the rank of elliptic curves. Zbl 1207.11064
Nikolaev, Igor
2009
On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras. Zbl 1163.14309
Nikolaev, Igor V.
2009
Noncommutative geometry of algebraic curves. Zbl 1178.14025
Nikolaev, Igor V.
2009
On embedding of the Bratteli diagram into a surface. Zbl 1145.46039
Nikolaev, Igor V.
2008
Foliations on surfaces. Zbl 0957.57001
Nikolaev, Igor
2001
Non-wandering flows on the 2-manifolds. Zbl 1001.37034
Nikolaev, Igor
2001
Flows on 2-dimensional manifolds. An overview. Zbl 1022.37027
Nikolaev, Igor; Zhuzhoma, Evgeny
1999
Graphs and flows on surfaces. Zbl 0937.37024
Nikolaev, Igor
1998
Qualitative theory of foliations on closed surfaces. Zbl 0948.53048
Aranson, S. Kh.; Bronstein, I. U.; Zhuzhoma, E. V.; Nikolaev, I. V.
1998
Structurally stable fields of line elements on surfaces. Zbl 0990.37015
Bronshteyn, Idel; Nikolaev, Igor
1998
Topological classification of quadratic systems at infinity. Zbl 0869.34027
Nikolaev, Igor; Vulpe, Nicolae I.
1997
Peixoto graphs of Morse-Smale foliations on surfaces. Zbl 0881.57027
Bronstein, Idel; Nikolaev, Igor
1997
Orbital normal forms and bifurcations of fields of linear elements on the plane. Zbl 0861.34019
Bronshtein, I. U.; Nikolaev, I. V.
1995
Smooth orbital equivalence in a neighborhood of a critical point on a plane. Zbl 0852.34026
Bronshtein, I. U.; Nikolaev, I. V.
1994
Topological classification of quadratic systems with a unique finite second order singularity with two zero eigenvalues. Zbl 0842.34032
Nikolaev, I. V.; Vulpe, N. I.
1993
Topological classification of quadratic systems with a unique third-order singular point. Zbl 0913.34025
Vulpe, N. I.; Nikolaev, I. V.
1992
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### Cited by 81 Authors

 12 Nikolaev, Igor Vasilievich 8 Llibre, Jaume 8 Schlomiuk, Dana I. 6 Zhuzhoma, Evgeniĭ Viktorovich 5 Alkauskas, Giedrius 5 Jiménez López, Víctor 5 Vulpe, Nicolae I. 4 Artés, Joan Carles 4 Soler López, Gabriel 4 Ulcigrai, Corinna 4 Yokoyama, Tomoo 3 Martínez-Alfaro, José 3 Medvedev, Vladislav Sergeevich 2 Aranson, Samuil Khaĭmovich 2 Bronshteĭn, Idel Usherovich 2 Campos, Beatriz 2 Figalli, Alessio 2 Grines, Vyacheslav Zigmundovich 2 Kanigowski, Adam 2 Pochinka, Olga Vital’evna 2 Rifford, Ludovic 2 Sinha, Raúl Oset 2 Vindel, Pura 1 Alves Gouveia, Márcio Ricardo 1 Boscain, Ugo 1 Carrasco-Olivera, Dante 1 Chaika, Jonathan 1 Cobo, Milton 1 Colli, Eduardo 1 Contreras, Gonzalo 1 Cordero, Alicia 1 De Maesschalck, Peter 1 Dolgopyat, Dmitry 1 Dyatlov, Semyon 1 Espín Buendía, José Ginés 1 Fathi, Albert 1 Fock, Vladimir V. 1 Frączek, Krzysztof Marek 1 Freidlin, Mark I. 1 García, Isaac A. 1 Ghomi, Mohammad 1 Giné, Jaume 1 Goncharov, Alexander Borisovich 1 Gurevich, Elena Ya. 1 Howard, Ralph E. 1 Hu, Wenqing 1 Koralov, Leonid B. 1 Kramer, Linus 1 Kułaga-Przymus, Joanna 1 Lewiner, Thomas 1 Li, Tao 1 López Machí, Rafael 1 Malkin, Mikhail Iosifovich 1 Markley, Nelson G. 1 Maza, Susanna 1 Meza-Sarmiento, Ingrid Sofia 1 Morales, Carlos Arnoldo 1 Nakano, Yushi 1 Novello, Tiago 1 Oliveira, Regilene D. S. 1 Paixão, João 1 Pal, Janos 1 Palmisano, Liviana 1 Piccoli, Benedetto 1 Pires, Benito 1 Plachta, Leonid P. 1 Rebollo-Perdomo, Salomón 1 Romero-Fuster, María Carmen 1 Romero Fuster, Maria del Carmen 1 Schmieding, Scott 1 Shinomiya, Yoshihiko 1 Tel’nykh, I. A. 1 Tomei, Carlos 1 Torregrosa, Joan 1 Vanderschoot, M. H. 1 Varghese, Olga 1 Vogel, Thomas 1 Yang, Kitty 1 Zaks, Michael A. 1 Zhuzhoma, Ye. V. 1 Zworski, Maciej
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### Cited in 47 Serials

 7 Journal of Differential Equations 6 Topology and its Applications 4 Communications in Mathematical Physics 4 Aequationes Mathematicae 4 Qualitative Theory of Dynamical Systems 3 Proceedings of the American Mathematical Society 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Mathematical Sciences (New York) 2 Mathematical Notes 2 Transactions of the American Mathematical Society 2 Journal of Dynamics and Differential Equations 2 Journal of Dynamical and Control Systems 2 Proceedings of the Steklov Institute of Mathematics 1 Communications on Pure and Applied Mathematics 1 Journal of Statistical Physics 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Colloquium Mathematicum 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Algebra 1 Physica D 1 Journal of the American Mathematical Society 1 Expositiones Mathematicae 1 Electronic Journal of Differential Equations (EJDE) 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Sbornik: Mathematics 1 Discrete and Continuous Dynamical Systems 1 The Ramanujan Journal 1 Geometry & Topology 1 Chaos 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Missouri Journal of Mathematical Sciences 1 Mediterranean Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Complex Analysis and Operator Theory 1 Advances in Pure and Applied Mathematics 1 Annals of Functional Analysis 1 Journal of Function Spaces 1 Bollettino dell’Unione Matematica Italiana 1 Pure and Applied Analysis
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### Cited in 28 Fields

 51 Dynamical systems and ergodic theory (37-XX) 15 Manifolds and cell complexes (57-XX) 14 Ordinary differential equations (34-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Algebraic geometry (14-XX) 10 Functional analysis (46-XX) 7 General topology (54-XX) 6 Partial differential equations (35-XX) 5 Number theory (11-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)