The m=1 amplituhedron and cyclic hyperplane arrangements SN Karp, LK Williams International Mathematics Research Notices 2019 (5), 1401-1462, 2019 | 74 | 2019 |

Sign variation, the Grassmannian, and total positivity SN Karp Journal of Combinatorial Theory, Series A 145, 308-339, 2017 | 52 | 2017 |

The totally nonnegative Grassmannian is a ball P Galashin, SN Karp, T Lam Advances in Mathematics 397, 1-23, 2022 | 50 | 2022 |

Decompositions of amplituhedra SN Karp, LK Williams, YX Zhang Annales de l’Institut Henri Poincaré D 7 (3), 303-363, 2020 | 50 | 2020 |

Regularity theorem for totally nonnegative flag varieties P Galashin, SN Karp, T Lam Journal of the American Mathematical Society 35 (2), 513-579, 2022 | 46 | 2022 |

Moment curves and cyclic symmetry for positive Grassmannians SN Karp Bulletin of the London Mathematical Society 51 (5), 900-916, 2019 | 21 | 2019 |

The totally nonnegative part of G/P is a ball P Galashin, SN Karp, T Lam Advances in Mathematics 351, 614-620, 2019 | 15 | 2019 |

On two notions of total positivity for partial flag varieties AM Bloch, SN Karp Advances in Mathematics 414, 1-24, 2023 | 14 | 2023 |

Forbidden Configurations: Exact bounds determined by critical substructures RP Anstee, SN Karp Electronic Journal of Combinatorics 17, 1-27, 2010 | 8 | 2010 |

Shelling the m=1 amplituhedron SN Karp, J Machacek Combinatorial Theory 3 (1), 1-22, 2023 | 7 | 2023 |

Gradient flows, adjoint orbits, and the topology of totally nonnegative flag varieties AM Bloch, SN Karp Communications in Mathematical Physics, 1-77, 2023 | 5 | 2023 |

q-Whittaker functions, finite fields, and Jordan forms SN Karp, H Thomas arXiv preprint arXiv:2207.12590, 2022 | 5 | 2022 |

Wronskians, total positivity, and real Schubert calculus SN Karp Selecta Mathematica 30 (1), 1-28, 2024 | 2 | 2024 |

Universal Plücker coordinates for the Wronski map and positivity in real Schubert calculus SN Karp, K Purbhoo arXiv preprint arXiv:2309.04645, 2023 | 1 | 2023 |

Symmetric Toda, gradient flows, and tridiagonalization AM Bloch, SN Karp Physica D: Nonlinear Phenomena 450, 1-10, 2023 | 1 | 2023 |

Defining amplituhedra and Grassmann polytopes SN Karp Formal Power Series and Algebraic Combinatorics, 683-694, 2016 | 1* | 2016 |

Positivity and universal Plücker coordinates for spaces of quasi-exponentials SN Karp, E Mukhin, V Tarasov arXiv preprint arXiv:2405.20229, 2024 | | 2024 |

Toda Flows, Gradient Flows, and Total Positivity AM Bloch, SN Karp International Symposium on Nonlinear Theory and Its Applications, 233-235, 2022 | | 2022 |

Total positivity for Grassmannians and amplituhedra SN Karp University of California, Berkeley, 2017 | | 2017 |