Edit Profile (opens in new tab) Nabutovsky, Alexander Co-Author Distance Author ID: nabutovsky.alexander Published as: Nabutovsky, Alexander; Nabutovsky, A.; Nabutovsky, A. V. more...less Homepage: http://www.math.toronto.edu/nabutovsky/ External Links: MGP · Wikidata Documents Indexed: 47 Publications since 1988, including 2 Additional arXiv Preprints Co-Authors: 16 Co-Authors with 33 Joint Publications 606 Co-Co-Authors all top 5 Co-Authors 14 single-authored 20 Rotman, Regina 5 Weinberger, Shmuel 4 Liokumovich, Yevgeny 4 Lishak, Boris 2 Avvakumov, Sergey Ya. 1 Ben-Av, Radel 1 Bestvina, Mladen 1 Burago, Dmitri 1 Chambers, Gregory R. 1 Eliashberg, Yakov Matveevich 1 Forstnerič, Franc 1 Guth, Lawrence David 1 Parsch, Fabian 1 Roe, John 1 Sabourau, Stéphane 1 Vershik, Anatoliĭ Moiseevich all top 5 Serials 9 Geometric and Functional Analysis. GAFA 5 Journal of Topology and Analysis 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Commentarii Mathematici Helvetici 2 Geometriae Dedicata 2 IMRN. International Mathematics Research Notices 2 Geometry & Topology 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Topology 1 Transactions of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Journal of the European Mathematical Society (JEMS) all top 5 Fields 36 Differential geometry (53-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Manifolds and cell complexes (57-XX) 6 Mathematical logic and foundations (03-XX) 5 Group theory and generalizations (20-XX) 4 Algebraic geometry (14-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 247 times in 135 Documents Cited by ▼ Year ▼ Non-recursive functions, knots “with thick ropes”, and self-clenching “thick” hyperspheres. Zbl 0845.57023 Nabutovsky, Alexander 22 1995 The length of the shortest closed geodesic on a 2-dimensional sphere. Zbl 1003.53030 Nabutovsky, A.; Rotman, R. 21 2002 Volume, diameter and the minimal mass of a stationary 1-cycle. Zbl 1073.53057 Nabutovsky, A.; Rotman, R. 16 2004 The fractal nature of Riem/Diff. I. Zbl 1039.58009 Nabutovsky, Alexander; Weinberger, Shmuel 13 2003 Einstein structures: Existence versus uniqueness. Zbl 0842.53032 Nabutovsky, A. 12 1995 Algorithmic unsolvability of the triviality problem for multidimensional knots. Zbl 0862.57017 Nabutovsky, Alexander; Weinberger, Shmuel 10 1996 Disconnectedness of sublevel sets of some Riemannian functionals. Zbl 0872.53030 Nabutovsky, A. 8 1996 Geometry of the space of triangulations of a compact manifold. Zbl 0863.57015 Nabutovsky, A. 8 1996 Variational problems for Riemannian functionals and arithmetic groups. Zbl 1003.58007 Nabutovsky, Alexander; Weinberger, Shmuel 8 2000 Contracting the boundary of a Riemannian 2-disc. Zbl 1333.53049 Liokumovich, Yevgeny; Nabutovsky, Alexander; Rotman, Regina 8 2015 Linear bounds for lengths of geodesic loops on Riemannian 2-spheres. Zbl 1243.53075 Nabutovsky, Alexander; Rotman, Regina 8 2011 Fundamental group and contractible closed geodesics. Zbl 0973.53031 Nabutovsky, Alexander 7 1996 The length of the second shortest geodesic. Zbl 1178.53039 Nabutovsky, Alexander; Rotman, Regina 7 2009 Curvature-free upper bounds for the smallest area of a minimal surface. Zbl 1110.53047 Nabutovsky, A.; Rotman, R. 7 2006 The minimal length of a closed geodesic net on a Riemannian manifold with a nontrivial second homology group. Zbl 1079.53060 Nabutovsky, Alexander; Rotman, Regina 6 2005 Length of geodesics on a two-dimensional sphere. Zbl 1170.53023 Nabutovsky, Alexander; Rotman, Regina 6 2009 Algorithmic aspects of homeomorphism problems. Zbl 0932.57021 Nabutovsky, Alexander; Weinberger, Shmuel 5 1999 Upper bounds on the length of a shortest closed geodesic and quantitative Hurewicz theorem. Zbl 1039.53042 Nabutovsky, Alexander; Rotman, Regina 5 2003 Nonrecursive functions in real algebraic geometry. Zbl 0692.14013 Nabutovsky, Alexander 5 1989 Length of geodesics and quantitative Morse theory on loop spaces. Zbl 1273.53035 Nabutovsky, Alexander; Rotman, Regina 5 2013 Shapes of geodesic nets. Zbl 1134.53018 Nabutovsky, Alexander; Rotman, Regina 5 2007 Number of solutions with a norm bounded by a given constant of a semilinear elliptic PDE with a generic right-hand side. Zbl 0762.35033 Nabutovsky, Alexander 4 1992 Geodesic nets: some examples and open problems. Zbl 1519.53031 Nabutovsky, Alexander; Parsch, Fabian 4 2023 Lengths of three simple periodic geodesics on a Riemannian 2-sphere. Zbl 1361.53035 Liokumovich, Yevgeny; Nabutovsky, Alexander; Rotman, Regina 4 2017 Noncomputability arising in dynamical triangulation model of four- dimensional quantum gravity. Zbl 0785.53065 Nabutovsky, A.; Ben-Av, R. 4 1993 Linear bounds for lengths of geodesic segments on Riemannian 2-spheres. Zbl 1282.53032 Nabutovsky, Alexander; Rotman, Regina 4 2013 A few snapshots from the work of Mikhail Gromov. Zbl 1317.01017 Burago, D.; Eliashberg, Y.; Bestvina, M.; Forstnerič, F.; Guth, L.; Nabutovsky, A.; Phillips, A.; Roe, J.; Vershik, A. 4 2014 Morse landscapes of Riemannian functionals and related problems. Zbl 1230.58010 Nabutovsky, Alexander 4 2011 Isotopies and non-recursive functions in real algebraic geometry. Zbl 0715.14045 Nabutovsky, Alexander 3 1990 Lengths of geodesics between two points on a Riemannian manifold. Zbl 1113.53026 Nabutovsky, Alexander; Rotman, Regina 3 2007 Betti numbers of finitely presented groups and very rapidly growing functions. Zbl 1139.20030 Nabutovsky, Alexander; Weinberger, Shmuel 3 2007 Short geodesic segments between two points on a closed Riemannian manifold. Zbl 1180.53043 Nabutovsky, Alexander; Rotman, Regina 3 2009 Combinatorics of the spaces of Riemannian structures and logic phenomena of Euclidean quantum gravity. Zbl 1104.53040 Nabutovsky, Alexander 3 2006 Balanced presentations of the trivial group and four-dimensional geometry. Zbl 1362.58004 Lishak, Boris; Nabutovsky, Alexander 2 2017 Effective universal coverings and local minima of the length functional on loop spaces. Zbl 1203.53039 Nabutovsky, Alexander 2 2010 Lengths of simple periodic geodesics on two-dimensional Riemannian spheres. Zbl 1239.53060 Nabutovsky, Alexander; Rotman, Regina 2 2011 Filling metric spaces. Zbl 1506.28004 Liokumovich, Yevgeny; Lishak, Boris; Nabutovsky, Alexander; Rotman, Regina 2 2022 Smoothing of real algebraic hypersurfaces by rigid isotopies. Zbl 0746.14022 Nabutovsky, Alexander 1 1991 Sizes of spaces of triangulations of 4-manifold and balanced presentations of the trivial group. Zbl 1423.57043 Lishak, Boris; Nabutovsky, Alexander 1 2019 Sweepouts of closed Riemannian manifolds. Zbl 1486.53054 Nabutovsky, Alexander; Rotman, Regina; Sabourau, Stéphane 1 2021 Irrationality of limits of quickly convergent algebraic numbers sequences. Zbl 0655.10032 Nabutovsky, A. V. 1 1988 Geodesic nets: some examples and open problems. Zbl 1519.53031 Nabutovsky, Alexander; Parsch, Fabian 4 2023 Filling metric spaces. Zbl 1506.28004 Liokumovich, Yevgeny; Lishak, Boris; Nabutovsky, Alexander; Rotman, Regina 2 2022 Sweepouts of closed Riemannian manifolds. Zbl 1486.53054 Nabutovsky, Alexander; Rotman, Regina; Sabourau, Stéphane 1 2021 Sizes of spaces of triangulations of 4-manifold and balanced presentations of the trivial group. Zbl 1423.57043 Lishak, Boris; Nabutovsky, Alexander 1 2019 Lengths of three simple periodic geodesics on a Riemannian 2-sphere. Zbl 1361.53035 Liokumovich, Yevgeny; Nabutovsky, Alexander; Rotman, Regina 4 2017 Balanced presentations of the trivial group and four-dimensional geometry. Zbl 1362.58004 Lishak, Boris; Nabutovsky, Alexander 2 2017 Contracting the boundary of a Riemannian 2-disc. Zbl 1333.53049 Liokumovich, Yevgeny; Nabutovsky, Alexander; Rotman, Regina 8 2015 A few snapshots from the work of Mikhail Gromov. Zbl 1317.01017 Burago, D.; Eliashberg, Y.; Bestvina, M.; Forstnerič, F.; Guth, L.; Nabutovsky, A.; Phillips, A.; Roe, J.; Vershik, A. 4 2014 Length of geodesics and quantitative Morse theory on loop spaces. Zbl 1273.53035 Nabutovsky, Alexander; Rotman, Regina 5 2013 Linear bounds for lengths of geodesic segments on Riemannian 2-spheres. Zbl 1282.53032 Nabutovsky, Alexander; Rotman, Regina 4 2013 Linear bounds for lengths of geodesic loops on Riemannian 2-spheres. Zbl 1243.53075 Nabutovsky, Alexander; Rotman, Regina 8 2011 Morse landscapes of Riemannian functionals and related problems. Zbl 1230.58010 Nabutovsky, Alexander 4 2011 Lengths of simple periodic geodesics on two-dimensional Riemannian spheres. Zbl 1239.53060 Nabutovsky, Alexander; Rotman, Regina 2 2011 Effective universal coverings and local minima of the length functional on loop spaces. Zbl 1203.53039 Nabutovsky, Alexander 2 2010 The length of the second shortest geodesic. Zbl 1178.53039 Nabutovsky, Alexander; Rotman, Regina 7 2009 Length of geodesics on a two-dimensional sphere. Zbl 1170.53023 Nabutovsky, Alexander; Rotman, Regina 6 2009 Short geodesic segments between two points on a closed Riemannian manifold. Zbl 1180.53043 Nabutovsky, Alexander; Rotman, Regina 3 2009 Shapes of geodesic nets. Zbl 1134.53018 Nabutovsky, Alexander; Rotman, Regina 5 2007 Lengths of geodesics between two points on a Riemannian manifold. Zbl 1113.53026 Nabutovsky, Alexander; Rotman, Regina 3 2007 Betti numbers of finitely presented groups and very rapidly growing functions. Zbl 1139.20030 Nabutovsky, Alexander; Weinberger, Shmuel 3 2007 Curvature-free upper bounds for the smallest area of a minimal surface. Zbl 1110.53047 Nabutovsky, A.; Rotman, R. 7 2006 Combinatorics of the spaces of Riemannian structures and logic phenomena of Euclidean quantum gravity. Zbl 1104.53040 Nabutovsky, Alexander 3 2006 The minimal length of a closed geodesic net on a Riemannian manifold with a nontrivial second homology group. Zbl 1079.53060 Nabutovsky, Alexander; Rotman, Regina 6 2005 Volume, diameter and the minimal mass of a stationary 1-cycle. Zbl 1073.53057 Nabutovsky, A.; Rotman, R. 16 2004 The fractal nature of Riem/Diff. I. Zbl 1039.58009 Nabutovsky, Alexander; Weinberger, Shmuel 13 2003 Upper bounds on the length of a shortest closed geodesic and quantitative Hurewicz theorem. Zbl 1039.53042 Nabutovsky, Alexander; Rotman, Regina 5 2003 The length of the shortest closed geodesic on a 2-dimensional sphere. Zbl 1003.53030 Nabutovsky, A.; Rotman, R. 21 2002 Variational problems for Riemannian functionals and arithmetic groups. Zbl 1003.58007 Nabutovsky, Alexander; Weinberger, Shmuel 8 2000 Algorithmic aspects of homeomorphism problems. Zbl 0932.57021 Nabutovsky, Alexander; Weinberger, Shmuel 5 1999 Algorithmic unsolvability of the triviality problem for multidimensional knots. Zbl 0862.57017 Nabutovsky, Alexander; Weinberger, Shmuel 10 1996 Disconnectedness of sublevel sets of some Riemannian functionals. Zbl 0872.53030 Nabutovsky, A. 8 1996 Geometry of the space of triangulations of a compact manifold. Zbl 0863.57015 Nabutovsky, A. 8 1996 Fundamental group and contractible closed geodesics. Zbl 0973.53031 Nabutovsky, Alexander 7 1996 Non-recursive functions, knots “with thick ropes”, and self-clenching “thick” hyperspheres. Zbl 0845.57023 Nabutovsky, Alexander 22 1995 Einstein structures: Existence versus uniqueness. Zbl 0842.53032 Nabutovsky, A. 12 1995 Noncomputability arising in dynamical triangulation model of four- dimensional quantum gravity. Zbl 0785.53065 Nabutovsky, A.; Ben-Av, R. 4 1993 Number of solutions with a norm bounded by a given constant of a semilinear elliptic PDE with a generic right-hand side. Zbl 0762.35033 Nabutovsky, Alexander 4 1992 Smoothing of real algebraic hypersurfaces by rigid isotopies. Zbl 0746.14022 Nabutovsky, Alexander 1 1991 Isotopies and non-recursive functions in real algebraic geometry. Zbl 0715.14045 Nabutovsky, Alexander 3 1990 Nonrecursive functions in real algebraic geometry. Zbl 0692.14013 Nabutovsky, Alexander 5 1989 Irrationality of limits of quickly convergent algebraic numbers sequences. Zbl 0655.10032 Nabutovsky, A. V. 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 166 Authors 20 Nabutovsky, Alexander 17 Rotman, Regina 6 Liokumovich, Yevgeny 6 Wagner, Uli 5 Katz, Mikhail G. 5 Rawdon, Eric J. 5 Weinberger, Shmuel 4 Adelstein, Ian M. 4 Downey, Rodney Graham 4 Durumeric, Oguz C. 4 Lishak, Boris 4 Matoušek, Jiří 3 Čadek, Martin 3 Chambers, Gregory R. 3 Gromov, Mikhael Leonidovich 3 Krčál, Marek 3 Manturov, Vassiliĭ Olegovich 3 Parsch, Fabian 3 Sabourau, Stéphane 3 Simon, Jonathan K. 3 Tancer, Martin 3 Vokřínek, Lukáš 3 Zhu, Zhifei 2 Balacheff, Florent 2 Cantarella, Jason H. 2 Cheng, Herng Yi 2 Csima, Barbara F. 2 Fedoseev, Denis Aleksandrovich 2 Freedman, Michael Hartley 2 Hirschfeldt, Denis Roman 2 Itoh, Jin-ichi 2 Kim, Seongjeong 2 Manin, Yuriĭ Ivanovich 2 Ng, KengMeng 2 Nikonov, Igor Mikhailovich 2 Papasoglu, Panos 2 Piatek, Michael 2 Sergeraert, Francis 2 Simpson, Stephen G. 2 Soare, Robert I. 2 Staffa, Bruno 2 Vargas Pallete, Franco 2 Vîlcu, Costin 2 Wu, Nan 1 Abbondandolo, Alberto 1 Acquistapace, Francesca 1 Adams, Henry 1 Adiprasito, Karim Alexander 1 Alagalingam, Meru 1 Allais, Simon 1 Álvarez Paiva, Juan Carlos 1 Alves, Marcelo R. R. 1 Andersson, Lars Åke 1 Ashton, Ted 1 Azvolinsky, Arthur 1 Barbosa, Ezequiel R. 1 Barmpalias, George 1 Beach, I. 1 Belegradek, Igor 1 Benedetti, Riccardo 1 Berger, Marcel 1 Björner, Anders 1 Bramham, Barney 1 Broglia, Fabrizio 1 Brügmann, Bernd 1 Buck, Gregory R. 1 Burago, Dmitri 1 Burns, Keith 1 Burton, Benjamin A. 1 Cabello, Sergio 1 Catterall, Simon 1 Chambers, Erin Wolf 1 Chang, Stanley S. 1 Chodosh, Otis 1 Coskunuzer, Baris 1 Da Costa, Newton Carneiro Affonso 1 Dahinden, Lucas 1 De Mesmay, Arnaud 1 Donato, Sidney 1 Doria, Francisco Antonio 1 Dotterrer, Dominic 1 Ferry, Steven C. 1 Fu, Joseph Howland Guthrie 1 Fujiwara, Koji 1 Furtado do Amaral, A. F. 1 Gelbukha, Irina 1 Glynn-Adey, Parker 1 Goaoc, Xavier 1 Groman, Yoel 1 Guth, Lawrence David 1 Hare, Kevin G. 1 Hinman, Joshua 1 Hryniewicz, Umberto L. 1 Hu, Jing 1 Ieiri, K. 1 Ivanov, Sergei Vladimirovich 1 Izmestiev, Ivan 1 Jabbour, Antonia 1 Kajigaya, Toru 1 Katz, Karin Usadi ...and 66 more Authors all top 5 Cited in 66 Serials 11 Geometric and Functional Analysis. GAFA 10 Journal of Topology and Analysis 7 Geometriae Dedicata 6 Geometry & Topology 5 Journal of Knot Theory and its Ramifications 4 Mathematische Annalen 4 Topology and its Applications 4 The Journal of Geometric Analysis 4 Algebraic & Geometric Topology 3 Journal of Differential Geometry 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Discrete & Computational Geometry 3 Experimental Mathematics 2 Communications in Mathematical Physics 2 Israel Journal of Mathematics 2 Advances in Mathematics 2 Duke Mathematical Journal 2 The Journal of Symbolic Logic 2 The Bulletin of Symbolic Logic 2 Foundations of Computational Mathematics 1 American Mathematical Monthly 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Journal of Mathematical Physics 1 Physics Reports 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Computer and System Sciences 1 Journal of Differential Equations 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Results in Mathematics 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Ergodic Theory and Dynamical Systems 1 Annals of Pure and Applied Logic 1 Revista Matemática Iberoamericana 1 SIAM Journal on Discrete Mathematics 1 Differential Geometry and its Applications 1 MSCS. Mathematical Structures in Computer Science 1 Proceedings of the National Academy of Sciences of the United States of America 1 Filomat 1 Selecta Mathematica. New Series 1 Electronic Research Announcements of the American Mathematical Society 1 Journal of the ACM 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Journal of the European Mathematical Society (JEMS) 1 Living Reviews in Relativity 1 Physical Review Letters 1 Advances in Geometry 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Fixed Point Theory and Applications 1 Logical Methods in Computer Science 1 Involve 1 Bulletin of Mathematical Sciences 1 Computability 1 Nonlinear Analysis. Theory, Methods & Applications 1 Open Mathematics 1 SIAM Journal on Applied Algebra and Geometry 1 Graduate Journal of Mathematics all top 5 Cited in 36 Fields 86 Differential geometry (53-XX) 44 Manifolds and cell complexes (57-XX) 27 Global analysis, analysis on manifolds (58-XX) 17 Mathematical logic and foundations (03-XX) 17 Computer science (68-XX) 15 Algebraic topology (55-XX) 7 Combinatorics (05-XX) 7 Group theory and generalizations (20-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Convex and discrete geometry (52-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Algebraic geometry (14-XX) 4 Relativity and gravitational theory (83-XX) 3 Partial differential equations (35-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 2 Number theory (11-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.