Edit Profile (opens in new tab) Nikolaev, Igor Vasilievich Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1022.37027Nikolaev, Igor; Zhuzhoma, Evgeny 48 1999 Topological classification of quadratic systems at infinity. Zbl 0869.34027Nikolaev, Igor; Vulpe, Nicolae I. 9 1997 Graphs and flows on surfaces. Zbl 0937.37024Nikolaev, Igor 7 1998 Peixoto graphs of Morse-Smale foliations on surfaces. Zbl 0881.57027Bronstein, Idel; Nikolaev, Igor 4 1997 Qualitative theory of foliations on closed surfaces. Zbl 0948.53048Aranson, S. Kh.; Bronstein, I. U.; Zhuzhoma, E. V.; Nikolaev, I. V. 3 1998 On traces of Frobenius endomorphisms. Zbl 1282.14044Nikolaev, Igor 3 2014 Foliations on surfaces. Zbl 0957.57001Nikolaev, Igor 3 2001 On a symmetry of complex and real multiplication. Zbl 1410.11062Nikolaev, Igor V. 2 2016 Noncommutative geometry. A functorial approach. Zbl 1388.14001Nikolaev, Igor V. 2 2017 Remark on the rank of elliptic curves. Zbl 1207.11064Nikolaev, Igor 2 2009 Orbital normal forms and bifurcations of fields of linear elements on the plane. Zbl 0861.34019Bronshtein, I. U.; Nikolaev, I. V. 2 1995 On embedding of the Bratteli diagram into a surface. Zbl 1145.46039Nikolaev, Igor V. 1 2008 Non-wandering flows on the 2-manifolds. Zbl 1001.37034Nikolaev, Igor 1 2001 Structurally stable fields of line elements on surfaces. Zbl 0990.37015Bronshteyn, Idel; Nikolaev, Igor 1 1998 On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras. Zbl 1163.14309Nikolaev, Igor V. 1 2009 Topological classification of quadratic systems with a unique finite second order singularity with two zero eigenvalues. Zbl 0842.34032Nikolaev, I. V.; Vulpe, N. I. 1 1993 Smooth orbital equivalence in a neighborhood of a critical point on a plane. Zbl 0852.34026Bronshtein, I. U.; Nikolaev, I. V. 1 1994 Noncommutative geometry of algebraic curves. Zbl 1178.14025Nikolaev, Igor V. 1 2009 Topological classification of quadratic systems with a unique third-order singular point. Zbl 0913.34025Vulpe, N. I.; Nikolaev, I. V. 1 1992 On algebraic values of function \(\exp (2\pi i x+\log \log y)\). Zbl 1423.11123Nikolaev, Igor 1 2018 Riemann surfaces and \(AF\)-algebras. Zbl 1356.46060Nikolaev, Igor 1 2016 Mapping class groups are linear. Zbl 1451.30089Nikolaev, Igor V. 1 2018 On algebraic values of function \(\exp (2\pi i x+\log \log y)\). Zbl 1423.11123Nikolaev, Igor 1 2018 Mapping class groups are linear. Zbl 1451.30089Nikolaev, Igor V. 1 2018 Noncommutative geometry. A functorial approach. Zbl 1388.14001Nikolaev, Igor V. 2 2017 On a symmetry of complex and real multiplication. Zbl 1410.11062Nikolaev, Igor V. 2 2016 Riemann surfaces and \(AF\)-algebras. Zbl 1356.46060Nikolaev, Igor 1 2016 On traces of Frobenius endomorphisms. Zbl 1282.14044Nikolaev, Igor 3 2014 Remark on the rank of elliptic curves. Zbl 1207.11064Nikolaev, Igor 2 2009 On a Teichmüller functor between the categories of complex tori and the Effros-Shen algebras. Zbl 1163.14309Nikolaev, Igor V. 1 2009 Noncommutative geometry of algebraic curves. Zbl 1178.14025Nikolaev, Igor V. 1 2009 On embedding of the Bratteli diagram into a surface. Zbl 1145.46039Nikolaev, Igor V. 1 2008 Foliations on surfaces. Zbl 0957.57001Nikolaev, Igor 3 2001 Non-wandering flows on the 2-manifolds. Zbl 1001.37034Nikolaev, Igor 1 2001 Flows on 2-dimensional manifolds. An overview. Zbl 1022.37027Nikolaev, Igor; Zhuzhoma, Evgeny 48 1999 Graphs and flows on surfaces. Zbl 0937.37024Nikolaev, Igor 7 1998 Qualitative theory of foliations on closed surfaces. Zbl 0948.53048Aranson, S. Kh.; Bronstein, I. U.; Zhuzhoma, E. V.; Nikolaev, I. V. 3 1998 Structurally stable fields of line elements on surfaces. Zbl 0990.37015Bronshteyn, Idel; Nikolaev, Igor 1 1998 Topological classification of quadratic systems at infinity. Zbl 0869.34027Nikolaev, Igor; Vulpe, Nicolae I. 9 1997 Peixoto graphs of Morse-Smale foliations on surfaces. Zbl 0881.57027Bronstein, Idel; Nikolaev, Igor 4 1997 Orbital normal forms and bifurcations of fields of linear elements on the plane. Zbl 0861.34019Bronshtein, I. U.; Nikolaev, I. V. 2 1995 Smooth orbital equivalence in a neighborhood of a critical point on a plane. Zbl 0852.34026Bronshtein, I. U.; Nikolaev, I. V. 1 1994 Topological classification of quadratic systems with a unique finite second order singularity with two zero eigenvalues. Zbl 0842.34032Nikolaev, I. V.; Vulpe, N. I. 1 1993 Topological classification of quadratic systems with a unique third-order singular point. Zbl 0913.34025Vulpe, N. I.; Nikolaev, I. V. 1 1992 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year