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

Algebraic boundaries of convex semi-algebraic sets R Sinn Research in the Mathematical Sciences 2, 1-18, 2015 | 28 | 2015 |

Do sums of squares dream of free resolutions? G Blekherman, R Sinn, M Velasco SIAM Journal on Applied Algebra and Geometry 1 (1), 175-199, 2017 | 26 | 2017 |

Real rank with respect to varieties G Blekherman, R Sinn Linear algebra and its applications 505, 344-360, 2016 | 22 | 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 | 19 | 2019 |

Generic spectrahedral shadows R Sinn, B Sturmfels SIAM Journal on Optimization 25 (2), 1209-1220, 2015 | 19 | 2015 |

Algebraic Boundaries of -Orbitopes R Sinn Discrete & Computational Geometry 50, 219-235, 2013 | 18 | 2013 |

A note on the convex hull of finitely many projections of spectrahedra T Netzer, R Sinn arXiv preprint arXiv:0908.3386, 2009 | 18 | 2009 |

Maximum likelihood threshold and generic completion rank of graphs G Blekherman, R Sinn Discrete & Computational Geometry 61, 303-324, 2019 | 17 | 2019 |

Panorama der Mathematik A Loos, R Sinn, GM Ziegler Springer, 2022 | 15 | 2022 |

Adjoints and canonical forms of polypols K Kohn, R Piene, K Ranestad, F Rydell, B Shapiro, R Sinn, MS Sorea, ... arXiv preprint arXiv:2108.11747, 2021 | 15 | 2021 |

Typical and generic ranks in matrix completion DI Bernstein, G Blekherman, R Sinn Linear Algebra and its Applications 585, 71-104, 2020 | 14 | 2020 |

Kippenhahn's theorem for joint numerical ranges and quantum states D Plaumann, R Sinn, S Weis SIAM Journal on Applied Algebra and Geometry 5 (1), 86-113, 2021 | 11 | 2021 |

Computing Hermitian determinantal representations of hyperbolic curves D Plaumann, R Sinn, DE Speyer, C Vinzant International Journal of Algebra and Computation 25 (08), 1327-1336, 2015 | 9 | 2015 |

Conic programming: Infeasibility certificates and projective geometry S Naldi, R Sinn Journal of Pure and Applied Algebra 225 (7), 106605, 2021 | 8 | 2021 |

Sums of squares: a real projective story G Blekherman, R Sinn, GG Smith, M Velasco Notices of the American Mathematical Society 68 (05), 2021 | 8 | 2021 |

Mathematik in der nationalen forschungsdateninfrastruktur C Görgen, R Sinn Mitteilungen der Deutschen Mathematiker-Vereinigung 29 (3), 122-123, 2021 | 7 | 2021 |

Families of faces and the normal cycle of a convex semi-algebraic set D Plaumann, R Sinn, JL Wesner Beiträge zur Algebra und Geometrie/Contributions to Algebra and Geometry 64 …, 2023 | 6 | 2023 |

The chiral domain of a camera arrangement S Agarwal, A Pryhuber, R Sinn, RR Thomas Journal of Mathematical Imaging and Vision 64 (9), 948-967, 2022 | 6 | 2022 |

Existence of two view chiral reconstructions A Pryhuber, R Sinn, RR Thomas SIAM Journal on Applied Algebra and Geometry 6 (1), 41-76, 2022 | 6 | 2022 |