Grigoriy Blekherman, Ph.D. - Publications

Affiliations: 
2005 University of Michigan, Ann Arbor, Ann Arbor, MI 
Area:
Mathematics

22 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Bernstein DI, Blekherman G, Sinn R. Typical and Generic Ranks in Matrix Completion Linear Algebra and Its Applications. 585: 71-104. DOI: 10.1016/J.Laa.2019.09.001  0.4
2020 Blekherman G, Jung J. Bounds on Regularity of Quadratic Monomial Ideals Journal of Combinatorial Theory, Series A. 176: 105296. DOI: 10.1016/J.Jcta.2020.105296  0.417
2020 Blekherman G, Raymond A, Singh M, Thomas RR. Simple Graph Density Inequalities with No Sum of Squares Proofs Combinatorica. 1-17. DOI: 10.1007/S00493-019-4124-Y  0.412
2020 Blekherman G, Riener C. Symmetric Non-Negative Forms and Sums of Squares Discrete and Computational Geometry. 1-36. DOI: 10.1007/S00454-020-00208-W  0.437
2019 Blekherman G, Smith GG, Velasco M. Sharp degree bounds for sum-of-squares certificates on projective curves Journal De MathéMatiques Pures Et AppliquéEs. 129: 61-86. DOI: 10.1016/J.Matpur.2018.12.010  0.42
2019 Blekherman G, Sinn R. Maximum Likelihood Threshold and Generic Completion Rank of Graphs Discrete and Computational Geometry. 61: 303-324. DOI: 10.1007/S00454-018-9990-3  0.401
2018 Bernardi A, Blekherman G, Ottaviani G. On real typical ranks Bollettino Della Unione Matematica Italiana. 11: 293-307. DOI: 10.1007/S40574-017-0134-0  0.417
2017 Blekherman G, Sinn R, Velasco M. Do Sums of Squares Dream of Free Resolutions Siam Journal On Applied Algebra and Geometry. 1: 175-199. DOI: 10.1137/16M1084560  0.397
2017 Blekherman G, Plaumann D, Sinn R, Vinzant C. Low-Rank Sum-of-Squares Representations on Varieties of Minimal Degree International Mathematics Research Notices. 2019: 33-54. DOI: 10.1093/Imrn/Rnx113  0.395
2017 Blekherman G, Sinn R. Extreme rays of Hankel spectrahedra for ternary forms Journal of Symbolic Computation. 79: 23-42. DOI: 10.1016/J.Jsc.2016.08.003  0.485
2016 Blekherman G, Smith GG, Velasco M. Sums of squares and varieties of minimal degree Journal of the American Mathematical Society. 29: 893-913. DOI: 10.1090/Jams/847  0.489
2016 Blekherman G, Sinn R. Real rank with respect to varieties Linear Algebra and Its Applications. 505: 344-360. DOI: 10.1016/J.Laa.2016.04.035  0.453
2016 Blekherman G, Gouveia J, Pfeiffer J. Sums of squares on the hypercube Mathematische Zeitschrift. 1-14. DOI: 10.1007/S00209-016-1644-7  0.479
2015 Blekherman G, Iliman S, Juhnke-Kubitzke M, Velasco M. Gap vectors of real projective varieties Advances in Mathematics. 283: 458-472. DOI: 10.1016/J.Aim.2015.07.015  0.452
2015 Blekherman G. Typical Real Ranks of Binary Forms Foundations of Computational Mathematics. 15: 793-798. DOI: 10.1007/S10208-013-9174-8  0.367
2015 Blekherman G, Teitler Z. On maximum, typical and generic ranks Mathematische Annalen. 362: 1021-1031. DOI: 10.1007/S00208-014-1150-3  0.389
2015 Blekherman G, Iliman S, Kubitzke M. Dimensional Differences between Faces of the Cones of Nonnegative Polynomials and Sums of Squares International Mathematics Research Notices. 2015: 8437-8470. DOI: 10.1007/978-3-319-20155-9_14  0.425
2015 Blekherman G. Positive gorenstein ideals Proceedings of the American Mathematical Society. 143: 69-86.  0.393
2012 Blekherman G, Hauenstein J, Ottem JC, Ranestad K, Sturmfels B. Algebraic boundaries of Hilbert™s SOS cones Compositio Mathematica. 148: 1717-1735. DOI: 10.1112/S0010437X12000437  0.445
2012 Blekherman G. Nonnegative polynomials and sums of squares Journal of the American Mathematical Society. 25: 617-635. DOI: 10.1090/S0894-0347-2012-00733-4  0.457
2006 Blekherman G. There ARE significantly more nonnegative polynomials than sums of squares Israel Journal of Mathematics. 153: 355-380. DOI: 10.1007/Bf02771790  0.447
2004 Blekherman G. Convexity properties of the cone of nonnegative polynomials Discrete and Computational Geometry. 32: 345-371. DOI: 10.1007/S00454-004-1090-X  0.402
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