Grigoriy Blekherman

1.4k total citations · 1 hit paper
35 papers, 641 citations indexed

About

Grigoriy Blekherman is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Algebra and Number Theory. According to data from OpenAlex, Grigoriy Blekherman has authored 35 papers receiving a total of 641 indexed citations (citations by other indexed papers that have themselves been cited), including 18 papers in Computational Theory and Mathematics, 11 papers in Numerical Analysis and 8 papers in Algebra and Number Theory. Recurrent topics in Grigoriy Blekherman's work include Polynomial and algebraic computation (9 papers), Advanced Optimization Algorithms Research (9 papers) and Robotic Locomotion and Control (7 papers). Grigoriy Blekherman is often cited by papers focused on Polynomial and algebraic computation (9 papers), Advanced Optimization Algorithms Research (9 papers) and Robotic Locomotion and Control (7 papers). Grigoriy Blekherman collaborates with scholars based in United States, Germany and Hungary. Grigoriy Blekherman's co-authors include Rekha R. Thomas, Pablo A. Parrilo, Vladimir Shulaev, Suzy V. Torti, Diego Fernando Marmolejo Cortes, Reinhard Laubenbacher, Steven A. Akman, Frank M. Torti, Pedro Mendes and Baxi Chong and has published in prestigious journals such as Science, Free Radical Biology and Medicine and The International Journal of Robotics Research.

In The Last Decade

Grigoriy Blekherman

30 papers receiving 602 citations

Hit Papers

Semidefinite Optimization and Convex Algebraic Geometry 2012 2026 2016 2021 2012 50 100 150 200 250
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Semidefinite Optimization and Convex Algebraic Geometry
    2012 252 citations Grigoriy Blekherman, Pablo A. Parrilo et al. Society for Industrial and Applied Mathematics eBooks profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Grigoriy Blekherman United States 12 243 191 99 97 81 35 641
Xiang Xu China 16 124 0.5× 352 1.8× 83 0.8× 44 0.5× 33 0.4× 71 1.2k
Fritz Colonius Germany 19 216 0.9× 136 0.7× 92 0.9× 596 6.1× 22 0.3× 100 1.2k
T. Fujisawa Japan 13 263 1.1× 162 0.8× 61 0.6× 74 0.8× 30 0.4× 20 848
Karin Gatermann Germany 11 242 1.0× 121 0.6× 97 1.0× 56 0.6× 7 0.1× 26 497
Weiguo Li China 11 142 0.6× 176 0.9× 15 0.2× 24 0.2× 37 0.5× 52 462
Fabrice Rouillier France 13 552 2.3× 64 0.3× 17 0.2× 84 0.9× 25 0.3× 40 785
Thomas Lorenz Germany 14 214 0.9× 34 0.2× 56 0.6× 219 2.3× 36 0.4× 52 594
Ulrich Oberst Austria 18 338 1.4× 96 0.5× 39 0.4× 265 2.7× 12 0.1× 56 920
Tobias Damm Germany 15 225 0.9× 249 1.3× 12 0.1× 432 4.5× 25 0.3× 46 890
Yi Zhao China 21 103 0.4× 25 0.1× 97 1.0× 237 2.4× 21 0.3× 96 1.3k

Countries citing papers authored by Grigoriy Blekherman

Since Specialization
Citations

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

Fields of papers citing papers by Grigoriy Blekherman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Grigoriy Blekherman

This figure shows the co-authorship network connecting the top 25 collaborators of Grigoriy Blekherman. A scholar is included among the top collaborators of Grigoriy Blekherman 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 Grigoriy Blekherman. Grigoriy Blekherman 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.
Blekherman, Grigoriy, et al.. (2024). Undecidability of polynomial inequalities in weighted graph homomorphism densities. Forum of Mathematics Sigma. 12.
2.
Blekherman, Grigoriy, et al.. (2024). Aggregations of Quadratic Inequalities and Hidden Hyperplane Convexity. SIAM Journal on Optimization. 34(1). 98–126. 1 indexed citations
3.
Chong, Baxi, et al.. (2023). Multilegged matter transport: A framework for locomotion on noisy landscapes. Science. 380(6644). 509–515. 15 indexed citations
4.
Chong, Baxi, et al.. (2023). Optimizing contact patterns for robot locomotion via geometric mechanics. The International Journal of Robotics Research. 42(10). 859–873. 2 indexed citations
5.
Chong, Baxi, Tianyu Wang, Bo Lin, et al.. (2023). Gait design for limbless obstacle aided locomotion using geometric mechanics. 3 indexed citations
6.
Blekherman, Grigoriy, et al.. (2023). A New Proof of the Erdős–Simonovits Conjecture on Walks. Graphs and Combinatorics. 39(3). 1 indexed citations
7.
Blekherman, Grigoriy, et al.. (2022). Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment. International Mathematics Research Notices. 2023(24). 21346–21380.
8.
Blekherman, Grigoriy, et al.. (2022). Hyperbolic Relaxation of $k$-Locally Positive Semidefinite Matrices. SIAM Journal on Optimization. 32(2). 470–490. 4 indexed citations
9.
Chong, Baxi, Julian Whitman, Matthew Travers, et al.. (2021). Reconstruction of Backbone Curves for Snake Robots. IEEE Robotics and Automation Letters. 6(2). 3264–3270. 17 indexed citations
10.
Chong, Baxi, et al.. (2021). Frequency modulation of body waves to improve performance of sidewinding robots. The International Journal of Robotics Research. 40(12-14). 1547–1562. 20 indexed citations
11.
Chong, Baxi, Tianyu Wang, Shengkai Li, et al.. (2021). Moving sidewinding forward: optimizing contact patterns for limbless robots via geometric mechanics. 8 indexed citations
12.
Chong, Baxi, et al.. (2020). Optimizing coordinate choice for locomotion systems with toroidal shape spaces. 7501–7506. 5 indexed citations
13.
Blekherman, Grigoriy, et al.. (2018). On real typical ranks. Institutional Research Information System (Università degli Studi di Trento). 9 indexed citations
14.
Blekherman, Grigoriy, et al.. (2018). Maximum Likelihood Threshold and Generic Completion Rank of Graphs. Discrete & Computational Geometry. 61(2). 303–324. 3 indexed citations
15.
Blekherman, Grigoriy & Jean B. Lasserre. (2012). The truncated K-moment problem for closure of open sets. Journal of Functional Analysis. 263(11). 3604–3616. 1 indexed citations
16.
Blekherman, Grigoriy, Pablo A. Parrilo, & Rekha R. Thomas. (2012). Semidefinite Optimization and Convex Algebraic Geometry. Society for Industrial and Applied Mathematics eBooks. 252 indexed citations breakdown →
17.
Cortes, Diego Fernando Marmolejo, Wei Sha, Grigoriy Blekherman, et al.. (2011). Differential gene expression in normal and transformed human mammary epithelial cells in response to oxidative stress. Free Radical Biology and Medicine. 50(11). 1565–1574. 14 indexed citations
18.
Blekherman, Grigoriy, Reinhard Laubenbacher, Diego Fernando Marmolejo Cortes, et al.. (2011). Bioinformatics tools for cancer metabolomics. Metabolomics. 7(3). 329–343. 90 indexed citations
19.
Blekherman, Grigoriy. (2004). Convexity Properties of the Cone of Nonnegative Polynomials. Discrete & Computational Geometry. 32(3). 11 indexed citations
20.
Bezdek, Károly & Grigoriy Blekherman. (2000). DANZER-GRüNBAUM'S THEOREM REVISITED. Periodica Mathematica Hungarica. 39(1-3). 7–15.

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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