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## Nikolaev, Igor Vasilievich

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 Author ID: nikolaev.igor-vasilievich Published as: Nikolaev, I.; Nikolaev, I. V.; Nikolaev, Igor; Nikolaev, Igor V. Homepage: http://www.stjohns.edu/academics/bio/igor-nikolaev-phd External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND
 Documents Indexed: 55 Publications since 1990, including 3 Books Reviewing Activity: 147 Reviews
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#### Co-Authors

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

 5 Proceedings of the American Mathematical Society 4 Buletinul Academiei de Ştiinţe 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 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 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 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

 29 Functional analysis (46-XX) 16 Manifolds and cell complexes (57-XX) 12 Algebraic geometry (14-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Ordinary differential equations (34-XX) 9 Number theory (11-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functions of a complex variable (30-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-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

19 Publications have been cited 82 times in 69 Documents Cited by Year
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
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
Foliations on surfaces. Zbl 0957.57001
Nikolaev, Igor
2001
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
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
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
Noncommutative geometry of algebraic curves. Zbl 1178.14025
Nikolaev, Igor V.
2009
On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras. Zbl 1163.14309
Nikolaev, Igor V.
2009
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
Smooth orbital equivalence in a neighborhood of a critical point on a plane. Zbl 0852.34026
Bronshtein, I. U.; Nikolaev, I. V.
1994
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
Noncommutative geometry of algebraic curves. Zbl 1178.14025
Nikolaev, Igor V.
2009
On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras. Zbl 1163.14309
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
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#### Cited by 79 Authors

 11 Nikolaev, Igor Vasilievich 7 Schlomiuk, Dana I. 6 Llibre, Jaume 5 Alkauskas, Giedrius 5 Jiménez López, Víctor 5 Vulpe, Nicolae I. 5 Zhuzhoma, Evgeniĭ Viktorovich 4 Artés, Joan Carles 4 Soler López, Gabriel 3 Martínez-Alfaro, José 3 Yokoyama, Tomoo 2 Aranson, Samuil Khaĭmovich 2 Bronshteĭn, Idel Usherovich 2 Campos, Beatriz 2 Figalli, Alessio 2 Grines, Vyacheslav Zigmundovich 2 Gutierrez, Carlos 2 Medvedev, Vladislav Sergeevich 2 Pochinka, Olga Vital’evna 2 Rifford, Ludovic 2 Sinha, Raúl Oset 2 Ulcigrai, Corinna 2 Vindel, Pura 1 Alves Gouveia, Márcio Ricardo 1 Boscain, Ugo 1 Carrasco-Olivera, Dante 1 Cobo, Milton 1 Colli, Eduardo 1 Contreras, Gonzalo 1 Cordero, Alicia 1 de Jesus, C. Mendes 1 De Maesschalck, Peter 1 Dolgopyat, Dmitry 1 Dyatlov, Semyon 1 Espín Buendía, José Ginés 1 Fathi, Albert 1 Fock, Vladimir V. 1 Freidlin, Mark I. 1 Ghomi, Mohammad 1 Goncharov, Alexander Borisovich 1 Gurevich, Elena Ya. 1 Howard, Ralph E. 1 Hu, Wenqing 1 Kanigowski, Adam 1 Koralov, Leonid B. 1 Kramer, Linus 1 Kułaga-Przymus, Joanna 1 Lewiner, Thomas 1 López Machí, Rafael 1 López, Ángel Luis 1 Malkin, Mikhail Iosifovich 1 Markley, Nelson G. 1 Meza-Sarmiento, Ingrid S. 1 Morales, Carlos Arnoldo 1 Nakano, Yushi 1 Nikolaev, Igor Georgievich 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 40 Serials

 7 Journal of Differential Equations 6 Topology and its Applications 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 Communications in Mathematical Physics 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 Electronic Journal of Differential Equations (EJDE) 1 The Ramanujan Journal 1 Geometry & Topology 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 Pure and Applied Analysis
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#### Cited in 25 Fields

 46 Dynamical systems and ergodic theory (37-XX) 14 Manifolds and cell complexes (57-XX) 13 Ordinary differential equations (34-XX) 9 Algebraic geometry (14-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Functional analysis (46-XX) 7 General topology (54-XX) 5 Partial differential equations (35-XX) 4 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 Combinatorics (05-XX) 1 Special functions (33-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 Numerical analysis (65-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)

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