Alexander Gorodnik

687 total citations
33 papers, 223 citations indexed

About

Alexander Gorodnik is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Alexander Gorodnik has authored 33 papers receiving a total of 223 indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Mathematical Physics, 19 papers in Geometry and Topology and 9 papers in Algebra and Number Theory. Recurrent topics in Alexander Gorodnik's work include Mathematical Dynamics and Fractals (23 papers), Algebraic Geometry and Number Theory (10 papers) and Advanced Algebra and Geometry (10 papers). Alexander Gorodnik is often cited by papers focused on Mathematical Dynamics and Fractals (23 papers), Algebraic Geometry and Number Theory (10 papers) and Advanced Algebra and Geometry (10 papers). Alexander Gorodnik collaborates with scholars based in United Kingdom, United States and Israel. Alexander Gorodnik's co-authors include Amos Nevo, Hee Oh, Ralf Spatzier, Nimish A. Shah, Rodolfo da Silva Villaça, Anish Ghosh, Magnos Martinello, Moisés R. N. Ribeiro, George T. Kanellos and E. Hugues-Salas and has published in prestigious journals such as Transactions of the American Mathematical Society, Acta Mathematica and Bulletin of the American Mathematical Society.

In The Last Decade

Alexander Gorodnik

31 papers receiving 209 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 Gorodnik United Kingdom 10 164 116 49 42 29 33 223
Kyounghee Kim United States 8 97 0.6× 132 1.1× 15 0.3× 37 0.9× 28 1.0× 21 226
G. V. Ravindra India 8 76 0.5× 136 1.2× 47 1.0× 21 0.5× 60 2.1× 30 269
Josep González Spain 10 177 1.1× 251 2.2× 105 2.1× 16 0.4× 44 1.5× 36 278
Mark Ramras United States 10 45 0.3× 139 1.2× 122 2.5× 53 1.3× 33 1.1× 31 265
Lorenzo Traldi United States 10 128 0.8× 258 2.2× 34 0.7× 15 0.4× 198 6.8× 62 397
Flaminio Flamini Italy 7 74 0.5× 130 1.1× 56 1.1× 8 0.2× 42 1.4× 35 193
Peter Abramenko Germany 8 203 1.2× 251 2.2× 66 1.3× 12 0.3× 169 5.8× 21 333
Martin Kassabov United States 12 133 0.8× 182 1.6× 72 1.5× 15 0.4× 150 5.2× 30 289
Cristina Ballantine United States 7 36 0.2× 43 0.4× 95 1.9× 9 0.2× 94 3.2× 48 187
Dmitry S. Kaliuzhnyi-Verbovetskyi United States 8 75 0.5× 56 0.5× 71 1.4× 9 0.2× 19 0.7× 13 198

Countries citing papers authored by Alexander Gorodnik

Since Specialization
Citations

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

Fields of papers citing papers by Alexander Gorodnik

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Alexander Gorodnik

This figure shows the co-authorship network connecting the top 25 collaborators of Alexander Gorodnik. A scholar is included among the top collaborators of Alexander Gorodnik 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 Gorodnik. Alexander Gorodnik 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.
Gorodnik, Alexander, et al.. (2022). Poisson approximation and Weibull asymptotics in the geometry of numbers. Transactions of the American Mathematical Society. 376(3). 2155–2180. 1 indexed citations
2.
Gorodnik, Alexander, et al.. (2022). The space of homogeneous probability measures on $$\overline{\Gamma \backslash X}^S_\mathrm{max}$$ is compact. Mathematische Annalen. 386(1-2). 987–1016. 2 indexed citations
3.
Gorodnik, Alexander, et al.. (2021). Effective Multiple Equidistribution of Translated Measures. International Mathematics Research Notices. 2023(1). 210–242. 1 indexed citations
4.
Martinello, Magnos, E. Hugues-Salas, Rodolfo da Silva Villaça, et al.. (2018). RDNA: Residue-Defined Networking Architecture Enabling Ultra-Reliable Low-Latency Datacenters. IEEE Transactions on Network and Service Management. 15(4). 1473–1487. 25 indexed citations
5.
Gorodnik, Alexander & Ralf Spatzier. (2018). Smooth factors of projective actions of higher-rank lattices and rigidity. Geometry & Topology. 22(2). 1227–1266.
6.
Gorodnik, Alexander, et al.. (2017). Counting Lattice Points in norm balls on higher rank simple Lie groups. Mathematical Research Letters. 24(5). 1285–1306. 2 indexed citations
7.
Gorodnik, Alexander, et al.. (2016). Diophantine approximation for products of linear maps — logarithmic improvements. Transactions of the American Mathematical Society. 370(1). 487–507. 4 indexed citations
8.
Gorodnik, Alexander & Ralf Spatzier. (2015). Mixing properties of commuting nilmanifold automorphisms. Acta Mathematica. 215(1). 127–159. 8 indexed citations
9.
Gorodnik, Alexander & Amos Nevo. (2014). Quantitative ergodic theorems and their number-theoretic applications. Bulletin of the American Mathematical Society. 52(1). 65–113. 8 indexed citations
10.
Gorodnik, Alexander & Ralf Spatzier. (2014). Exponential mixing of nilmanifold automorphisms. Journal d Analyse Mathématique. 123(1). 355–396. 10 indexed citations
11.
Gorodnik, Alexander & Amos Nevo. (2014). Ergodic theory and the duality principle on homogeneous spaces. Geometric and Functional Analysis. 24(1). 159–244. 3 indexed citations
12.
Gorodnik, Alexander & Amos Nevo. (2011). Counting lattice points. Journal für die reine und angewandte Mathematik (Crelles Journal). 2012(663). 20 indexed citations
13.
Gorodnik, Alexander & Frédéric Paulin. (2011). Counting orbits of integral points in families of affine homogeneous varieties and diagonal flows. Bristol Research (University of Bristol). 4 indexed citations
14.
Gorodnik, Alexander & Nimish A. Shah. (2010). Khinchin’s theorem for approximation by integral points on quadratic varieties. Mathematische Annalen. 350(2). 357–380. 4 indexed citations
15.
Gorodnik, Alexander, et al.. (2007). Open problems in dynamics and related fields. Journal of Modern Dynamics. 1(1). 1–35. 15 indexed citations
16.
Gorodnik, Alexander & Hee Oh. (2007). Orbits of discrete subgroups on a symmetric space and the Furstenberg boundary. Duke Mathematical Journal. 139(3). 17 indexed citations
17.
Bergelson, Vitaly & Alexander Gorodnik. (2007). Ergodicity and mixing of non-commuting epimorphisms. Proceedings of the London Mathematical Society. 95(2). 329–359. 4 indexed citations
18.
Gorodnik, Alexander, et al.. (2005). Proximality and Equidistribution on the Furstenberg Boundary. Geometriae Dedicata. 113(1). 197–213. 6 indexed citations
19.
Gorodnik, Alexander. (2004). Oppenheim conjecture for pairs consisting of a linear form and a quadratic form. Transactions of the American Mathematical Society. 356(11). 4447–4463. 9 indexed citations
20.
Gorodnik, Alexander. (2004). On an oppenheim-type conjecture for systems of quadratic forms. Israel Journal of Mathematics. 140(1). 125–144. 5 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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