Raanan Schul

517 total citations
12 papers, 200 citations indexed

About

Raanan Schul is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Raanan Schul has authored 12 papers receiving a total of 200 indexed citations (citations by other indexed papers that have themselves been cited), including 9 papers in Applied Mathematics, 7 papers in Mathematical Physics and 6 papers in Geometry and Topology. Recurrent topics in Raanan Schul's work include Point processes and geometric inequalities (7 papers), Advanced Topology and Set Theory (4 papers) and Geometric Analysis and Curvature Flows (4 papers). Raanan Schul is often cited by papers focused on Point processes and geometric inequalities (7 papers), Advanced Topology and Set Theory (4 papers) and Geometric Analysis and Curvature Flows (4 papers). Raanan Schul collaborates with scholars based in United States and United Kingdom. Raanan Schul's co-authors include Mauro Maggioni, Peter W. Jones, Sean Li, Jonas Azzam, Rowan Killip, John B. Garnett and Guy C. David and has published in prestigious journals such as Proceedings of the National Academy of Sciences, SHILAP Revista de lepidopterología and Transactions of the American Mathematical Society.

In The Last Decade

Raanan Schul

11 papers receiving 180 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Raanan Schul United States 8 93 73 63 57 43 12 200
A. Sossinsky Russia 6 57 0.6× 67 0.9× 101 1.6× 57 1.0× 15 0.3× 17 211
Fernando Chamizo Spain 9 39 0.4× 84 1.2× 45 0.7× 19 0.3× 13 0.3× 38 196
Pedro Massey Argentina 11 284 3.1× 144 2.0× 32 0.5× 71 1.2× 50 1.2× 33 353
Martins Bruveris Austria 8 63 0.7× 30 0.4× 84 1.3× 10 0.2× 36 0.8× 14 184
Armin Straub United States 10 65 0.7× 51 0.7× 28 0.4× 35 0.6× 10 0.2× 33 257
Sivaram K. Narayan United States 12 181 1.9× 51 0.7× 144 2.3× 212 3.7× 21 0.5× 42 411
Alexander Ulanovskii Norway 8 175 1.9× 98 1.3× 19 0.3× 27 0.5× 25 0.6× 37 232
Dmitrii Karp Russia 11 236 2.5× 29 0.4× 61 1.0× 33 0.6× 9 0.2× 46 328
F. Barthe France 10 166 1.8× 40 0.5× 53 0.8× 26 0.5× 7 0.2× 12 224
Bernd O. Stratmann Germany 12 74 0.8× 289 4.0× 139 2.2× 54 0.9× 16 0.4× 38 361

Countries citing papers authored by Raanan Schul

Since Specialization
Citations

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

Fields of papers citing papers by Raanan Schul

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Raanan Schul

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

All Works

12 of 12 papers shown
1.
David, Guy C. & Raanan Schul. (2023). Quantitative decompositions of Lipschitz mappings into metric spaces. Transactions of the American Mathematical Society. 376(8). 5521–5571.
2.
David, Guy C. & Raanan Schul. (2022). Lower bounds on mapping content and quantitative factorization through trees. Journal of the London Mathematical Society. 106(2). 1170–1188. 1 indexed citations
3.
Schul, Raanan, et al.. (2017). Multiscale Analysis of 1-rectifiable Measures II: Characterizations. SHILAP Revista de lepidopterología. 15 indexed citations
4.
Azzam, Jonas & Raanan Schul. (2016). . arXiv (Cornell University). 16 indexed citations
5.
Li, Sean & Raanan Schul. (2016). An upper bound for the length of a traveling salesman path in the Heisenberg group. Revista Matemática Iberoamericana. 32(2). 391–417. 8 indexed citations
6.
Li, Sean & Raanan Schul. (2015). The traveling salesman problem in the Heisenberg group: Upper bounding curvature. Transactions of the American Mathematical Society. 368(7). 4585–4620. 11 indexed citations
7.
Azzam, Jonas & Raanan Schul. (2012). How to take shortcuts in Euclidean space: making a given set into a short quasi-convex set. Proceedings of the London Mathematical Society. 105(2). 367–392. 2 indexed citations
8.
Garnett, John B., Rowan Killip, & Raanan Schul. (2010). A doubling measure on ℝ^{𝕕} can charge a rectifiable curve. Proceedings of the American Mathematical Society. 138(5). 1673–1679. 15 indexed citations
9.
Jones, Peter W., Mauro Maggioni, & Raanan Schul. (2010). Universal local parametrizations via heat kernels and eigenfunctions of the Laplacian. Annales Academiae Scientiarum Fennicae Mathematica. 35. 131–174. 16 indexed citations
10.
Schul, Raanan. (2009). Bi-Lipschitz decomposition of Lipschitz functions into a metric space. Revista Matemática Iberoamericana. 25(2). 521–531. 6 indexed citations
11.
Jones, Peter W., Mauro Maggioni, & Raanan Schul. (2008). Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels. Proceedings of the National Academy of Sciences. 105(6). 1803–1808. 85 indexed citations
12.
Schul, Raanan. (2007). Subsets of rectifiable curves in Hilbert space-the analyst’s TSP. Journal d Analyse Mathématique. 103(1). 331–375. 25 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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