Alexander Nabutovsky

508 total citations
34 papers, 238 citations indexed

About

Alexander Nabutovsky is a scholar working on Geometry and Topology, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Alexander Nabutovsky has authored 34 papers receiving a total of 238 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Geometry and Topology, 22 papers in Applied Mathematics and 11 papers in Mathematical Physics. Recurrent topics in Alexander Nabutovsky's work include Geometric Analysis and Curvature Flows (17 papers), Geometric and Algebraic Topology (16 papers) and Homotopy and Cohomology in Algebraic Topology (6 papers). Alexander Nabutovsky is often cited by papers focused on Geometric Analysis and Curvature Flows (17 papers), Geometric and Algebraic Topology (16 papers) and Homotopy and Cohomology in Algebraic Topology (6 papers). Alexander Nabutovsky collaborates with scholars based in Canada, United States and Israel. Alexander Nabutovsky's co-authors include Shmuel Weinberger and has published in prestigious journals such as Communications in Mathematical Physics, Communications on Pure and Applied Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Alexander Nabutovsky

32 papers receiving 220 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Alexander Nabutovsky Canada 9 174 125 112 94 17 34 238
Ludwig Bröcker Germany 9 231 1.3× 102 0.8× 102 0.9× 87 0.9× 33 1.9× 19 330
J. J. Nuño‐Ballesteros Spain 9 245 1.4× 84 0.7× 127 1.1× 63 0.7× 16 0.9× 73 296
Conrad Plaut United States 9 116 0.7× 95 0.8× 92 0.8× 45 0.5× 7 0.4× 19 193
Kee Yuen Lam Canada 10 119 0.7× 90 0.7× 119 1.1× 51 0.5× 19 1.1× 20 234
Alexander Lytchak Germany 14 316 1.8× 277 2.2× 159 1.4× 54 0.6× 20 1.2× 42 427
Ivan Babenko Russia 11 293 1.7× 117 0.9× 258 2.3× 44 0.5× 41 2.4× 44 372
William Abikoff United States 9 253 1.5× 126 1.0× 159 1.4× 22 0.2× 38 2.2× 19 323
Hervé Pajot France 6 128 0.7× 165 1.3× 104 0.9× 32 0.3× 10 0.6× 10 221
Robert Silhol France 9 240 1.4× 37 0.3× 132 1.2× 77 0.8× 24 1.4× 25 272
Marco Andreatta Italy 12 356 2.0× 77 0.6× 170 1.5× 55 0.6× 17 1.0× 41 378

Countries citing papers authored by Alexander Nabutovsky

Since Specialization
Citations

This map shows the geographic impact of Alexander Nabutovsky's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Alexander Nabutovsky with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alexander Nabutovsky more than expected).

Fields of papers citing papers by Alexander Nabutovsky

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alexander Nabutovsky. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Alexander Nabutovsky. The network helps show where Alexander Nabutovsky may publish in the future.

Co-authorship network of co-authors of Alexander Nabutovsky

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Nabutovsky. A scholar is included among the top collaborators of Alexander Nabutovsky based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Alexander Nabutovsky. Alexander Nabutovsky is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Nabutovsky, Alexander, et al.. (2023). Geodesic nets on non-compact Riemannian manifolds. Journal für die reine und angewandte Mathematik (Crelles Journal). 0(0).
2.
Nabutovsky, Alexander, et al.. (2016). Balanced presentations of the trivial group and four-dimensional geometry. Journal of Topology and Analysis. 9(1). 15–25. 2 indexed citations
3.
Nabutovsky, Alexander, et al.. (2016). Lengths of three simple periodic geodesics on a Riemannian 2-sphere. Mathematische Annalen. 367(1-2). 831–855. 1 indexed citations
4.
Nabutovsky, Alexander, et al.. (2013). LINEAR BOUNDS FOR LENGTHS OF GEODESIC SEGMENTS ON RIEMANNIAN 2-SPHERES. Journal of Topology and Analysis. 5(4). 409–438. 3 indexed citations
5.
Nabutovsky, Alexander. (2010). Effective Universal Coverings and Local Minima of the Length Functional on Loop Spaces. Geometric and Functional Analysis. 20(2). 545–570. 4 indexed citations
6.
Nabutovsky, Alexander, et al.. (2009). The length of the second shortest geodesic. Commentarii Mathematici Helvetici. 84(4). 747–755. 6 indexed citations
7.
Nabutovsky, Alexander, et al.. (2009). Length of geodesics on a two-dimensional sphere. American Journal of Mathematics. 131(2). 545–569. 6 indexed citations
8.
Nabutovsky, Alexander & Shmuel Weinberger. (2007). Betti numbers of finitely presented groups and very rapidly growing functions. Topology. 46(2). 211–223. 2 indexed citations
9.
Nabutovsky, Alexander, et al.. (2006). Curvature-free upper bounds for the smallest area of a minimal surface. Geometric and Functional Analysis. 16(2). 453–475. 4 indexed citations
10.
Nabutovsky, Alexander, et al.. (2005). The Minimal Length of a Closed Geodesic Net on a Riemannian Manifold with a Nontrivial Second Homology Group. Geometriae Dedicata. 113(1). 243–254. 4 indexed citations
11.
Nabutovsky, Alexander & Shmuel Weinberger. (2003). The Fractal Nature of Riem/Diff I. Geometriae Dedicata. 101(1). 1–54. 18 indexed citations
12.
Nabutovsky, Alexander & Shmuel Weinberger. (2000). Variational problems for riemannian functionals and arithmetic groups. Publications mathématiques de l IHÉS. 92. 5–62. 9 indexed citations
13.
Nabutovsky, Alexander. (1996). Fundamental group and contractible closed geodesics. Communications on Pure and Applied Mathematics. 49(12). 1257–1270. 8 indexed citations
14.
Nabutovsky, Alexander. (1996). Fundamental group and contractible closed geodesics. Communications on Pure and Applied Mathematics. 49(12). 1257–1270. 1 indexed citations
15.
Nabutovsky, Alexander & Shmuel Weinberger. (1996). Algorithmic unsolvability of the triviality problem for multidimensional knots. Commentarii Mathematici Helvetici. 71(1). 426–434. 16 indexed citations
16.
Nabutovsky, Alexander. (1995). Einstein structures: Existence versus uniqueness. Geometric and Functional Analysis. 5(1). 76–91. 17 indexed citations
17.
Nabutovsky, Alexander. (1992). Number of Solutions with a Norm Bounded by a Given Constant of a Semilinear Elliptic PDE with a Generic Right-Hand Side. Transactions of the American Mathematical Society. 332(1). 135–135. 1 indexed citations
18.
Nabutovsky, Alexander. (1992). Number of solutions with a norm bounded by a given constant of a semilinear elliptic PDE with a generic right-hand side. Transactions of the American Mathematical Society. 332(1). 135–166. 2 indexed citations
19.
Nabutovsky, Alexander. (1991). Smoothing of real algebraic hypersurfaces by rigid isotopies. Annales de l’institut Fourier. 41(1). 11–25. 1 indexed citations
20.
Nabutovsky, Alexander. (1989). Nonrecursive functions in real algebraic geometry. Bulletin of the American Mathematical Society. 20(1). 61–65. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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