Convexity Properties of the Cone of Nonnegative Polynomials. - Grigoriy Blekherman (Discret. Comput. Geom., 2004)

Experimental Study of Energy-Minimizing Point Configurations on Spheres. - Brandon Ballinger; Grigoriy Blekherman; Henry Cohn; Noah Giansiracusa; Elizabeth Kelly; Achill Schürmann (Exp. Math., 2009)

ADAM: Analysis of Discrete Models of Biological Systems Using Computer Algebra. - Franziska Hinkelmann; Madison Brandon; Bonny Guang; Rustin McNeill; Grigoriy Blekherman; Alan Veliz-Cuba; Reinhard C. Laubenbacher (BMC Bioinform., 2011)

On Maximum, Typical, and Generic Ranks. - Greg Blekherman; Zach Teitler (CoRR, 2014)

Typical Real Ranks of Binary Forms. - Grigoriy Blekherman (Found. Comput. Math., 2015)

Extreme rays of Hankel spectrahedra for ternary forms. - Grigoriy Blekherman; Rainer Sinn (J. Symb. Comput., 2017)

Do Sums of Squares Dream of Free Resolutions? - Grigoriy Blekherman; Rainer Sinn; Mauricio Velasco (SIAM J. Appl. Algebra Geom., 2017)

Maximum Likelihood Threshold and Generic Completion Rank of Graphs. - Grigoriy Blekherman; Rainer Sinn (Discret. Comput. Geom., 2019)

Optimizing coordinate choice for locomotion systems with toroidal shape spaces. - Bo Lin; Baxi Chong; Yasemin Ozkan Aydin; Enes Aydin; Howie Choset; Daniel I. Goldman; Greg Blekherman (IROS, 2020)

Simple Graph Density Inequalities with No Sum of Squares Proofs. - Grigoriy Blekherman; Annie Raymond; Mohit Singh; Rekha R. Thomas (Comb., 2020)

Bounds on regularity of quadratic monomial ideals. - Grigoriy Blekherman; Jaewoo Jung (J. Comb. Theory A, 2020)

Moving sidewinding forward: optimizing contact patterns for limbless robots via geometric mechanics. - Baxi Chong; Tianyu Wang 010; Bo Lin; Shengkai Li; Howie Choset; Grigoriy Blekherman; Daniel I. Goldman (Robotics: Science and Systems, 2021)

Symmetric Non-Negative Forms and Sums of Squares. - Grigoriy Blekherman; Cordian Riener (Discret. Comput. Geom., 2021)

Frequency modulation of body waves to improve performance of sidewinding robots. - Baxi Chong; Tianyu Wang 010; Jennifer M. Rieser; Bo Lin; Abdul Kaba; Grigoriy Blekherman; Howie Choset; Daniel I. Goldman (Int. J. Robotics Res., 2021)

Reconstruction of Backbone Curves for Snake Robots. - Tianyu Wang 010; Bo Lin; Baxi Chong; Julian Whitman; Matthew J. Travers; Daniel I. Goldman; Greg Blekherman; Howie Choset (IEEE Robotics Autom. Lett., 2021)

Sums of Squares and Sparse Semidefinite Programming. - Grigoriy Blekherman; Kevin Shu (SIAM J. Appl. Algebra Geom., 2021)

Sparse PSD approximation of the PSD cone. - Grigoriy Blekherman; Santanu S. Dey; Marco Molinaro 001; Shengding Sun (Math. Program., 2022)

Quantum entanglement, symmetric nonnegative quadratic polynomials and moment problems. - Grigoriy Blekherman; Bharath Hebbe Madhusudhana (Math. Program., 2022)

Hyperbolic Relaxation of $k$-Locally Positive Semidefinite Matrices. - Grigoriy Blekherman; Santanu S. Dey; Kevin Shu; Shengding Sun (SIAM J. Optim., 2022)

Gait design for limbless obstacle aided locomotion using geometric mechanics. - Baxi Chong; Tianyu Wang 010; Daniel Irvine; Velin Kojouharov; Bo Lin; Howie Choset; Daniel I. Goldman; Grigoriy Blekherman (Robotics: Science and Systems, 2023)

Multi-legged matter transport: a framework for locomotion on noisy landscapes. - Baxi Chong; Juntao He; Daniel Soto 002; Tianyu Wang 010; Daniel Irvine; Grigoriy Blekherman; Daniel I. Goldman (CoRR, 2023)

A New Proof of the Erdős-Simonovits Conjecture on Walks. - Grigoriy Blekherman; Annie Raymond (Graphs Comb., 2023)

Optimizing contact patterns for robot locomotion via geometric mechanics. - Baxi Chong; Tianyu Wang 010; Bo Lin; Shengkai Li; Pranav C. Muthukrishnan; Juntao He; Daniel Irvine; Howie Choset; Grigoriy Blekherman; Daniel I. Goldman (Int. J. Robotics Res., 2023)

Threshold graphs maximise homomorphism densities. - Grigoriy Blekherman; Shyamal Patel (Comb. Probab. Comput., 2024)

Aggregations of Quadratic Inequalities and Hidden Hyperplane Convexity. - Grigoriy Blekherman; Santanu S. Dey; Shengding Sun (SIAM J. Optim., 2024)

A Topological Approach to Simple Descriptions of Convex Hulls of Sets Defined by Three Quadrics. - Grigoriy Blekherman; Alex Dunbar (SIAM J. Appl. Algebra Geom., 2025)

Robust control for multi-legged elongate robots in noisy environments. - Baxi Chong; Juntao He; Daniel Irvine; Tianyu Wang 010; Esteban Flores; Daniel Soto 002; Jianfeng Lin 002; Zhaochen Xu; Vincent R. Nienhusser; Grigoriy Blekherman; Daniel I. Goldman (CoRR, 2025)

Power Mean Inequalities and Sums of Squares. - Jose Acevedo; Grigoriy Blekherman (Discret. Comput. Geom., 2025)