G. Blekherman

Most-cited papers

Semidefinite Optimization and Convex Algebraic Geometry
G. Blekherman, P. Parrilo, Rekha R. Thomas
2012747 citations
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There are significantly more nonegative polynomials than sums of squares
G. Blekherman
2003139 citations
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Nonnegative Polynomials and Sums of Squares
G. Blekherman
2010108 citations Open access
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Bioinformatics tools for cancer metabolomics
G. Blekherman, R. Laubenbacher, D. Cortés, P. Mendes +4 more
2011Metabolomics106 citations Open access
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Experimental Study of Energy-Minimizing Point Configurations on Spheres
Brandon Ballinger, G. Blekherman, Henry Cohn, Noah Giansiracusa +2 more
2006Experimental Mathematics82 citations Open access
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ADAM: Analysis of Discrete Models of Biological Systems Using Computer Algebra
Franziska Hinkelmann, Madison Brandon, Bonny Guang, R. McNeill +3 more
2010BMC Bioinformatics77 citations Open access
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Sums of squares and varieties of minimal degree
G. Blekherman, Gregory G. Smith, Mauricio Velasco
201367 citations Open access
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Typical Real Ranks of Binary Forms
G. Blekherman
2012Foundations of Computational Mathematics60 citations
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Algebraic boundaries of Hilbert’s SOS cones
G. Blekherman, J. Hauenstein, J. C. Ottem, K. Ranestad +1 more
2011Compositio Mathematica60 citations Open access
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Multilegged matter transport: A framework for locomotion on noisy landscapes
Baxi Chong, Juntao He, Daniel Soto, Tian-Yu Wang +3 more
2023Science44 citations Open access
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On real typical ranks
A. Bernardi, G. Blekherman, G. Ottaviani
201539 citations Open access
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Real Rank with Respect to Varieties
G. Blekherman, Rainer Sinn
201535 citations Open access
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Symmetric Non-Negative Forms and Sums of Squares
G. Blekherman, C. Riener
2012Discrete & Computational Geometry34 citations Open access
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Sums of squares on the hypercube
G. Blekherman, J. Gouveia, James Pfeiffer
201432 citations Open access
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Frequency modulation of body waves to improve performance of sidewinding robots
Baxi Chong, Tian-Yu Wang, Jennifer M. Rieser, Bo Lin +4 more
2021Int. J. Robotics Res.31 citations
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Convexity Properties of the Cone of Nonnegative Polynomials
G. Blekherman
2002Discrete & Computational Geometry31 citations Open access
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Positive Gorenstein ideals
G. Blekherman
201229 citations Open access
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Convex geometry of orbits.
A. Barvinok, G. Blekherman
200328 citations
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Sparse PSD approximation of the PSD cone
G. Blekherman, S. Dey, M. Molinaro, Shengding Sun
2020Mathematical programming26 citations Open access
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LOW-RANK SUM-OF-SQUARES REPRESENTATIONS ON VARIETIES OF MINIMAL DEGREE
G. Blekherman, D. Plaumann, Rainer Sinn, C. Vinzant
201626 citations Open access
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Do Sums of Squares Dream of Free Resolutions?
G. Blekherman, Rainer Sinn, Mauricio Velasco
2016SIAM Journal on applied algebra and geometry25 citations Open access
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The core variety and representing measures in the truncated moment problem
G. Blekherman, L. Fialkow
2018Journal of operator theory23 citations Open access
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Moments, sums of squares, and tropicalization
G. Blekherman, Felipe Rincón, Rainer Sinn, C. Vinzant +1 more
2022Journal of the London Mathematical Society18 citations Open access
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Typical and generic ranks in matrix completion
D. Bernstein, G. Blekherman, Rainer Sinn
2018Linear Algebra and its Applications18 citations Open access
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Maximum Likelihood Threshold and Generic Completion Rank of Graphs
G. Blekherman, Rainer Sinn
2017Discrete & Computational Geometry18 citations
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Hyperbolic Relaxation of $k$-Locally Positive Semidefinite Matrices
G. Blekherman, S. Dey, Kevin Shu, Shengding Sun
2020SIAM Journal on Optimization17 citations Open access
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Convex Forms that are not Sums of Squares
G. Blekherman
200917 citations
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A path forward: Tropicalization in extremal combinatorics
G. Blekherman, Annie Raymond
2021Advances in Mathematics15 citations Open access
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Sums of squares and quadratic persistence on real projective varieties
G. Blekherman, Rainer Sinn, Gregory G. Smith, Mauricio Velasco
2019Journal of the European Mathematical Society (Print)13 citations Open access
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Dimensional Differences Between Faces of the Cones of Nonnegative Polynomials and Sums of Squares
G. Blekherman, Sadik Iliman, Martina Kubitzke
201313 citations Open access
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Linear Principal Minor Polynomials: Hyperbolic Determinantal Inequalities and Spectral Containment
G. Blekherman, Mario Kummer, Raman Sanyal, Kevin Shu +1 more
2021International mathematics research notices11 citations Open access
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Tropicalization of Graph Profiles
G. Blekherman, Annie Raymond, Mohit Singh, Rekha R. Thomas
202010 citations
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The Wonderful Geometry of the Vandermonde map
Jose Acevedo, G. Blekherman, Sebastian Debus, C. Riener
2023Foundations of Computational Mathematics9 citations Open access
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Extreme rays of Hankel spectrahedra for ternary forms
G. Blekherman, Rainer Sinn
2017Journal of symbolic computation9 citations Open access
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Sharp degree bounds for sum-of-squares certificates on projective curves
G. Blekherman, Gregory G. Smith, Mauricio Velasco
2016Journal des Mathématiques Pures et Appliquées9 citations Open access
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Optimizing contact patterns for robot locomotion via geometric mechanics
Baxi Chong, Tian-Yu Wang, Lin Bo, Sheng-Kai Li +6 more
2023Int. J. Robotics Res.8 citations
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A New Proof of the Erdős–Simonovits Conjecture on Walks
G. Blekherman, Annie Raymond
2023Graphs and Combinatorics8 citations
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Undecidability of polynomial inequalities in weighted graph homomorphism densities
G. Blekherman, Annie Raymond, F. Wei
2022Forum of Mathematics, Sigma8 citations Open access
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Sums of Squares: A Real Projective Story
G. Blekherman, Rainer Sinn, Gregory G. Smith, Mauricio Velasco
2021Notices of the American Mathematical Society8 citations Open access
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Moving sidewinding forward: optimizing contact patterns for limbless robots via geometric mechanics
Baxi Chong, Tian-Yu Wang, Bo Lin, Sheng-Kai Li +3 more
2021Robotics: Science and Systems Conference8 citations Open access
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Simple Graph Density Inequalities with No Sum of Squares Proofs
G. Blekherman, Annie Raymond, Mohit Singh, Rekha R. Thomas
2018Combinatorica8 citations Open access
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Dimensional Differences between Nonnegative Polynomials and Sums of Squares
G. Blekherman
20098 citations
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Typical ranks in symmetric matrix completion
D. Bernstein, G. Blekherman, Kisun Lee
2019Journal of Pure and Applied Algebra7 citations Open access
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Nonnegative Polynomials and Moment Problems on Algebraic Curves
Lorenzo Baldi, G. Blekherman, Rainer Sinn
20246 citations
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Gait design for limbless obstacle aided locomotion using geometric mechanics
Baxi Chong, Tian-Yu Wang, Daniel Irvine, Velin Kojouharov +4 more
2023Robotics: Science and Systems6 citations Open access
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Aggregations of Quadratic Inequalities and Hidden Hyperplane Convexity
G. Blekherman, S. Dey, Shengding Sun
2022SIAM Journal on Optimization6 citations Open access
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Sums of Squares and Sparse Semidefinite Programming
G. Blekherman, Kevin Shu
2020SIAM Journal on applied algebra and geometry6 citations Open access
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Generalized eigenvalue methods for Gaussian quadrature rules
G. Blekherman, Mario Kummer, C. Riener, M. Schweighofer +1 more
2018Annales Henri Lebesgue6 citations Open access
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Volumes of Nonnegative Polynomials, Sums of Squares and Powers of Linear Forms
G. Blekherman
20046 citations
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Threshold graphs maximise homomorphism densities
G. Blekherman, Shyamal Patel
2023Combinatorics, probability & computing5 citations Open access
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