An algebraic characterization of injectivity in phase retrieval A Conca, D Edidin, M Hering, C Vinzant Applied and Computational Harmonic Analysis 38 (2), 346-356, 2015 | 243 | 2015 |

Log-concave polynomials II: high-dimensional walks and an FPRAS for counting bases of a matroid N Anari, K Liu, SO Gharan, C Vinzant Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, 1-12, 2019 | 195 | 2019 |

Log-concave polynomials, entropy, and a deterministic approximation algorithm for counting bases of matroids N Anari, SO Gharan, C Vinzant 2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS), 35-46, 2018 | 121 | 2018 |

Quartic curves and their bitangents D Plaumann, B Sturmfels, C Vinzant Journal of Symbolic Computation 46 (6), 712-733, 2011 | 107 | 2011 |

A small frame and a certificate of its injectivity C Vinzant 2015 International Conference on Sampling Theory and Applications (SampTA …, 2015 | 77 | 2015 |

Log-concave polynomials III: Mason's ultra-log-concavity conjecture for independent sets of matroids N Anari, K Liu, SO Gharan, C Vinzant arXiv preprint arXiv:1811.01600, 2018 | 72 | 2018 |

Determinantal representations of hyperbolic plane curves: an elementary approach D Plaumann, C Vinzant Journal of Symbolic Computation 57, 48-60, 2013 | 65 | 2013 |

What is... a spectrahedron C Vinzant Notices Amer. Math. Soc 61 (5), 492-494, 2014 | 59 | 2014 |

Hyperbolic polynomials, interlacers, and sums of squares M Kummer, D Plaumann, C Vinzant Mathematical Programming 153, 223-245, 2015 | 55 | 2015 |

Computing linear matrix representations of Helton-Vinnikov curves D Plaumann, B Sturmfels, C Vinzant Mathematical Methods in Systems, Optimization, and Control: Festschrift in …, 2012 | 52 | 2012 |

Quartic spectrahedra JC Ottem, K Ranestad, B Sturmfels, C Vinzant Mathematical programming 151, 585-612, 2015 | 47 | 2015 |

The central curve in linear programming JA De Loera, B Sturmfels, C Vinzant Foundations of Computational Mathematics 12, 509-540, 2012 | 40 | 2012 |

The entropic discriminant R Sanyal, B Sturmfels, C Vinzant Advances in mathematics 244, 678-707, 2013 | 38 | 2013 |

Log-concave polynomials IV: approximate exchange, tight mixing times, and near-optimal sampling of forests N Anari, K Liu, SO Gharan, C Vinzant, TD Vuong Proceedings of the 53rd Annual ACM SIGACT Symposium on Theory of Computing …, 2021 | 33 | 2021 |

Gram spectrahedra L Chua, D Plaumann, R Sinn, C Vinzant Ordered Algebraic Structures and Related Topics, Contemp. Math 697, 81-105, 2016 | 31 | 2016 |

Low-rank sum-of-squares representations on varieties of minimal degree G Blekherman, D Plaumann, R Sinn, C Vinzant International Mathematics Research Notices 2019 (1), 33-54, 2019 | 20 | 2019 |

A real stable extension of the Vamos matroid polynomial S Burton, C Vinzant, Y Youm arXiv preprint arXiv:1411.2038, 2014 | 19 | 2014 |

The Chow form of a reciprocal linear space M Kummer, C Vinzant Michigan Mathematical Journal 68 (4), 831-858, 2019 | 17 | 2019 |

Edges of the Barvinok–Novik orbitope C Vinzant Discrete & Computational Geometry 46 (3), 479-487, 2011 | 15 | 2011 |

Real algebraic geometry in convex optimization CL Vinzant University of California, BERKELEY, 2011 | 13 | 2011 |