Iosif Polterovich

1.4k total citations
43 papers, 555 citations indexed

About

Iosif Polterovich is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Iosif Polterovich has authored 43 papers receiving a total of 555 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Mathematical Physics, 22 papers in Applied Mathematics and 15 papers in Computational Theory and Mathematics. Recurrent topics in Iosif Polterovich's work include Spectral Theory in Mathematical Physics (17 papers), Advanced Mathematical Modeling in Engineering (10 papers) and Geometric Analysis and Curvature Flows (9 papers). Iosif Polterovich is often cited by papers focused on Spectral Theory in Mathematical Physics (17 papers), Advanced Mathematical Modeling in Engineering (10 papers) and Geometric Analysis and Curvature Flows (9 papers). Iosif Polterovich collaborates with scholars based in Canada, United Kingdom and United States. Iosif Polterovich's co-authors include Alexandre Girouard, Nikolaï Nadirashvili, Dmitry Jakobson, Michael Levitin, Michael Hitrik, Leonid Parnovski, Nilima Nigam, Mateusz Kwaśnicki, Bartłomiej Siudeja and Nikolay Kuznetsov and has published in prestigious journals such as ACM Transactions on Graphics, Archive for Rational Mechanics and Analysis and Inventiones mathematicae.

In The Last Decade

Iosif Polterovich

39 papers receiving 507 citations

Peers

Iosif Polterovich

CTM

SNP

Bernd Fritzsche Germany

Robert McOwen United States

Leonid Friedlander United States

Huaiyu Jian China

Mark S. Ashbaugh United States

Tom Ter Elst New Zealand

Michael Hutchings United States

Marco Biroli Italy

Min-Chun Hong Australia

Paolo Piccione Brazil

Bernd Fritzsche Germany

Iosif Polterovich

360 ×1.1

344 ×1.3

CTM

530 ×2.1

155 ×1.0

153 ×1.9

SNP

Citations per year, relative to Iosif Polterovich Iosif Polterovich (= 1×) peers Bernd Fritzsche

Countries citing papers authored by Iosif Polterovich

Since Specialization

Citations

This map shows the geographic impact of Iosif Polterovich'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 Iosif Polterovich with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Iosif Polterovich more than expected).

Fields of papers citing papers by Iosif Polterovich

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Iosif Polterovich. 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 Iosif Polterovich. The network helps show where Iosif Polterovich may publish in the future.

Co-authorship network of co-authors of Iosif Polterovich

This figure shows the co-authorship network connecting the top 25 collaborators of Iosif Polterovich. A scholar is included among the top collaborators of Iosif Polterovich 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 Iosif Polterovich. Iosif Polterovich is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Polterovich, Iosif, et al.. (2025). Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces. Journal of Differential Geometry. 129(2).

Filonov, N., et al.. (2024). Inequalities à la Pólya for the Aharonov–Bohm eigenvalues of the disk. Journal of Spectral Theory. 14(2). 597–618. 1 indexed citations

Filonov, N., et al.. (2024). Uniform Enclosures for the Phase and Zeros of Bessel Functions and their Derivatives. SIAM Journal on Mathematical Analysis. 56(6). 7644–7682.

Polterovich, Iosif, et al.. (2024). Coarse nodal count and topological persistence. Journal of the European Mathematical Society. 1 indexed citations

Polterovich, Iosif, et al.. (2024). Persistent transcendental Bézout theorems. Forum of Mathematics Sigma. 12.

Polterovich, Iosif, et al.. (2024). Dirac Eigenvalue Optimisation and Harmonic Maps to Complex Projective Spaces. International Mathematics Research Notices. 2024(21). 13758–13784.

Filonov, N., et al.. (2023). Pólya’s conjecture for Euclidean balls. Inventiones mathematicae. 234(1). 129–169. 11 indexed citations

Levitin, Michael, et al.. (2023). Topics in Spectral Geometry. Graduate studies in mathematics. 13 indexed citations

Polterovich, Iosif, et al.. (2023). Weyl’s Law for the Steklov Problem on Surfaces with Rough Boundary. Archive for Rational Mechanics and Analysis. 247(5). 77–77. 2 indexed citations

10.

Wang, Yu, Mirela Ben‐Chen, Iosif Polterovich, & Justin Solomon. (2018). Steklov Spectral Geometry for Extrinsic Shape Analysis. ACM Transactions on Graphics. 38(1). 1–21. 16 indexed citations

11.

Girouard, Alexandre, et al.. (2017). Geometric and Computational Spectral Theory. Contemporary mathematics - American Mathematical Society. 7 indexed citations

12.

Polterovich, Iosif, et al.. (2016). Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound. Journal of Spectral Theory. 6(4). 807–835. 6 indexed citations

13.

Girouard, Alexandre, et al.. (2010). Об оценках Херша - Пэйна - Шиффера для собственных значений задачи Стеклова. Функциональный анализ и его приложения. 44(2). 33–47. 5 indexed citations

14.

Girouard, Alexandre, Nikolaï Nadirashvili, & Iosif Polterovich. (2009). Maximization of the second positive Neumann eigenvalue for planar domains. Journal of Differential Geometry. 83(3). 32 indexed citations

15.

Polterovich, Iosif, et al.. (2009). Average Growth of the Spectral Function on a Riemannian Manifold. Communications in Partial Differential Equations. 34(6). 581–615. 1 indexed citations

16.

Jakobson, Dmitry, Nikolaï Nadirashvili, & Iosif Polterovich. (2006). Extremal Metric for the First Eigenvalue on a Klein Bottle. Canadian Journal of Mathematics. 58(2). 381–400. 30 indexed citations

17.

Levitin, Michael, Leonid Parnovski, & Iosif Polterovich. (2006). Isospectral domains with mixed boundary conditions. Journal of Physics A Mathematical and General. 39(9). 2073–2082. 16 indexed citations

18.

Jakobson, Dmitry, Michael Levitin, Nikolaï Nadirashvili, & Iosif Polterovich. (2005). Spectral problems with mixed Dirichlet–Neumann boundary conditions: Isospectrality and beyond. Journal of Computational and Applied Mathematics. 194(1). 141–155. 22 indexed citations

19.

Jakobson, Dmitry, Michael Levitin, Nikolaï Nadirashvili, Nilima Nigam, & Iosif Polterovich. (2005). . International Mathematics Research Notices. 2005(63). 3967–3967. 34 indexed citations

20.

Polterovich, Iosif. (1996). On a characterization of flat metrics on 2-torus. Journal of Dynamical and Control Systems. 2(1). 89–101. 2 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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