Igor Wigman

704 total citations
26 papers, 237 citations indexed

About

Igor Wigman is a scholar working on Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, Igor Wigman has authored 26 papers receiving a total of 237 indexed citations (citations by other indexed papers that have themselves been cited), including 19 papers in Geometry and Topology, 18 papers in Mathematical Physics and 10 papers in Statistical and Nonlinear Physics. Recurrent topics in Igor Wigman's work include Geometry and complex manifolds (16 papers), Mathematical Dynamics and Fractals (10 papers) and Stochastic processes and statistical mechanics (9 papers). Igor Wigman is often cited by papers focused on Geometry and complex manifolds (16 papers), Mathematical Dynamics and Fractals (10 papers) and Stochastic processes and statistical mechanics (9 papers). Igor Wigman collaborates with scholars based in United Kingdom, Israel and Sweden. Igor Wigman's co-authors include Pär Kurlberg, Domenico Marinucci, Andrew Granville, Manjunath Krishnapur, Zeév Rudnick, Giovanni Peccati, Juraj Tóth, Zakhar Kabluchko and Dmitry Jakobson and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Journal of Mathematical Physics.

In The Last Decade

Igor Wigman

23 papers receiving 221 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Igor Wigman United Kingdom 9 187 130 110 66 35 26 237
Vaughn Climenhaga United States 9 50 0.3× 186 1.4× 116 1.1× 28 0.4× 2 0.1× 19 210
Jeffrey Streets United States 11 353 1.9× 46 0.4× 19 0.2× 350 5.3× 7 0.2× 37 421
Yu. V. Chekanov Russia 9 198 1.1× 105 0.8× 37 0.3× 85 1.3× 6 0.2× 11 249
Dapeng Zhan United States 8 45 0.2× 165 1.3× 28 0.3× 23 0.3× 1 0.0× 24 185
Gerhard Knieper Germany 10 188 1.0× 271 2.1× 106 1.0× 165 2.5× 3 0.1× 30 339
Jean-Yves Welschinger France 8 217 1.2× 85 0.7× 11 0.1× 59 0.9× 8 0.2× 25 247
Nina Holden United States 8 33 0.2× 101 0.8× 32 0.3× 18 0.3× 27 154
Patrick Foulon France 9 123 0.7× 133 1.0× 52 0.5× 95 1.4× 3 0.1× 22 232
Kazumasa Kuwada Japan 8 187 1.0× 65 0.5× 19 0.2× 323 4.9× 19 357
Ajay Chandra United Kingdom 6 11 0.1× 85 0.7× 11 0.1× 32 0.5× 4 0.1× 8 135

Countries citing papers authored by Igor Wigman

Since Specialization
Citations

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

Fields of papers citing papers by Igor Wigman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Igor Wigman

This figure shows the co-authorship network connecting the top 25 collaborators of Igor Wigman. A scholar is included among the top collaborators of Igor Wigman 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 Igor Wigman. Igor Wigman 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.
Rudnick, Zeév & Igor Wigman. (2025). Almost Sure GOE Fluctuations of Energy Levels for Hyperbolic Surfaces of High Genus. Annales Henri Poincaré. 26(6). 2279–2291.
2.
Wigman, Igor. (2023). On the nodal structures of random fields: a decade of results. 8(6). 1917–1959. 8 indexed citations
3.
Rudnick, Zeév & Igor Wigman. (2023). On the Central Limit Theorem for linear eigenvalue statistics on random surfaces of large genus. Journal d Analyse Mathématique. 151(1). 293–302. 4 indexed citations
4.
Marinucci, Domenico, et al.. (2021). Nodal deficiency of random spherical harmonics in presence of boundary. Journal of Mathematical Physics. 62(2).
5.
Wigman, Igor, et al.. (2020). No repulsion between critical points for planar Gaussian random fields. Oxford University Research Archive (ORA) (University of Oxford). 5 indexed citations
6.
Wigman, Igor, et al.. (2020). Russo-Seymour-Welsh estimates for the Kostlan ensemble of random polynomials. Oxford University Research Archive (ORA) (University of Oxford). 3 indexed citations
7.
Wigman, Igor, et al.. (2017). Fluctuations of the total number of critical points of random spherical harmonics. Stochastic Processes and their Applications. 127(12). 3825–3869. 13 indexed citations
8.
Granville, Andrew & Igor Wigman. (2017). Planck-Scale Mass Equidistribution of Toral Laplace Eigenfunctions. Communications in Mathematical Physics. 355(2). 767–802. 6 indexed citations
9.
Kurlberg, Pär & Igor Wigman. (2016). On probability measures arising from lattice points on circles. Mathematische Annalen. 367(3-4). 1057–1098. 14 indexed citations
10.
Marinucci, Domenico, et al.. (2015). Non-Universality of Nodal Length Distribution for Arithmetic Random\n Waves. arXiv (Cornell University). 27 indexed citations
11.
Kurlberg, Pär & Igor Wigman. (2014). Non-universality of the Nazarov–Sodin constant. Comptes Rendus Mathématique. 353(2). 101–104. 3 indexed citations
12.
Marinucci, Domenico & Igor Wigman. (2014). On Nonlinear Functionals of Random Spherical Eigenfunctions. Communications in Mathematical Physics. 327(3). 849–872. 20 indexed citations
13.
Jakobson, Dmitry, et al.. (2013). Scalar Curvature and Q-Curvature of Random Metrics. Journal of Geometric Analysis. 24(4). 1982–2019. 4 indexed citations
14.
Krishnapur, Manjunath, Pär Kurlberg, & Igor Wigman. (2013). Nodal length fluctuations for arithmetic random waves. Annals of Mathematics. 177(2). 699–737. 39 indexed citations
15.
Granville, Andrew & Igor Wigman. (2011). The distribution of the zeros of random trigonometric polynomials. American Journal of Mathematics. 133(2). 295–357. 30 indexed citations
16.
Marinucci, Domenico & Igor Wigman. (2011). The defect variance of random spherical harmonics. Journal of Physics A Mathematical and Theoretical. 44(35). 355206–355206. 17 indexed citations
17.
Kurlberg, Pär & Igor Wigman. (2010). Gaussian Point Count Statistics for Families of Curves Over a Fixed Finite Field. International Mathematics Research Notices. 6 indexed citations
18.
Rudnick, Zeév, et al.. (2008). The Leray measure of nodal sets for random eigenfunctions on the torus. Annales de l’institut Fourier. 58(1). 299–335. 14 indexed citations
19.
Wigman, Igor. (2006). Statistics of lattice points in thin annuli for generic lattices. Documenta Mathematica. 11. 1–23.
20.
Wigman, Igor. (2004). Counting Singular Matrices with Primitive Row Vectors. Monatshefte für Mathematik. 144(1). 71–84. 1 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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