| 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 | 247 | 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 | 202 | 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 | 122 | 2018 |
| Quartic curves and their bitangents D Plaumann, B Sturmfels, C Vinzant Journal of Symbolic Computation 46 (6), 712-733, 2011 | 111 | 2011 |
| Log-concave polynomials III: Mason’s ultra-log-concavity conjecture for independent sets of matroids N Anari, K Liu, S Oveis Gharan, C Vinzant Proceedings of the American Mathematical Society 152 (05), 1969-1981, 2024 | 79 | 2024 |
| A small frame and a certificate of its injectivity C Vinzant 2015 International Conference on Sampling Theory and Applications (SampTA …, 2015 | 79 | 2015 |
| Determinantal representations of hyperbolic plane curves: an elementary approach D Plaumann, C Vinzant Journal of Symbolic Computation 57, 48-60, 2013 | 66 | 2013 |
| What is... a spectrahedron C Vinzant Notices of the AMS 61 (5), 492-494, 2014 | 61 | 2014 |
| Hyperbolic polynomials, interlacers, and sums of squares M Kummer, D Plaumann, C Vinzant Mathematical Programming 153, 223-245, 2015 | 56 | 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 | 54 | 2012 |
| Quartic spectrahedra JC Ottem, K Ranestad, B Sturmfels, C Vinzant Mathematical programming 151, 585-612, 2015 | 48 | 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 | 39 | 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 | 34 | 2021 |
| Gram spectrahedra L Chua, D Plaumann, R Sinn, C Vinzant Ordered Algebraic Structures and Related Topics (Luminy 2015). Contemporary …, 2016 | 32 | 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 | 21 | 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 | 16 | 2019 |
| Edges of the Barvinok–Novik orbitope C Vinzant Discrete & Computational Geometry 46 (3), 479-487, 2011 | 15 | 2011 |
| Log-concave polynomials iv: Exchange properties, tight mixing times, and faster sampling of spanning trees N Anari, K Liu, SO Gharan, C Vinzant arXiv preprint arXiv:2004.07220, 106, 2020 | 14 | 2020 |
