Unexpected biases in the distribution of consecutive primes RJ Lemke Oliver, K Soundararajan Proceedings of the National Academy of Sciences 113 (31), E4446-E4454, 2016 | 79 | 2016 |

Eta-quotients and theta functions RJ Lemke Oliver Advances in Mathematics 241, 1-17, 2013 | 36 | 2013 |

Almost-primes represented by quadratic polynomials RJL Oliver a∈ A 2, 1, 2012 | 30 | 2012 |

Upper bounds on number fields of given degree and bounded discriminant RJ Lemke Oliver, F Thorne Duke Mathematical Journal 171 (15), 3077-3087, 2022 | 29 | 2022 |

Bounded gaps between primes in number fields and function fields A Castillo, C Hall, R Lemke Oliver, P Pollack, L Thompson Proceedings of the American Mathematical Society 143 (7), 2841-2856, 2015 | 28 | 2015 |

Representation by ternary quadratic forms RJ Lemke Oliver Bulletin of the London Mathematical Society 46 (6), 1237-1247, 2014 | 27 | 2014 |

Effective log-free zero density estimates for automorphic -functions and the Sato-Tate conjecture RJ Lemke Oliver, J Thorner arXiv preprint arXiv:1505.03122, 2015 | 21* | 2015 |

Proof of the Alder-Andrews conjecture C Alfes, M Jameson, R Oliver Proceedings of the American Mathematical Society 139 (1), 63-78, 2011 | 20 | 2011 |

-Isogeny Selmer groups and ranks of Abelian varieties in quadratic twist families over a number field M Bhargava, Z Klagsbrun, RJ Lemke Oliver, A Shnidman | 18 | 2019 |

Rank growth of elliptic curves in non-abelian extensions RJ Lemke Oliver, F Thorne International Mathematics Research Notices 2021 (24), 18411-18441, 2021 | 13 | 2021 |

The distribution of 2‐Selmer ranks of quadratic twists of elliptic curves with partial two‐torsion Z Klagsbrun, RJ Lemke Oliver Mathematika 62 (1), 67-78, 2016 | 13 | 2016 |

The distribution of the Tamagawa ratio in the family of elliptic curves with a two-torsion point Z Klagsbrun, RJ Lemke Oliver Research in the Mathematical Sciences 1, 1-10, 2014 | 12 | 2014 |

Asteroid Lightcurve Analysis at the Oakley Observatory-March/April 2007 J Sauppe, S Torno, R Lemke-Oliver, R Ditteon The Minor Planet Bulletin (ISSN 1052-8091). Bulletin of the Minor Planets …, 2007 | 11 | 2007 |

Quantitative Hilbert irreducibility and almost prime values of polynomial discriminants TC Anderson, A Gafni, RJ Lemke Oliver, D Lowry-Duda, G Shakan, ... International Mathematics Research Notices 2023 (3), 2188-2214, 2023 | 9 | 2023 |

Elements of given order in Tate–Shafarevich groups of abelian varieties in quadratic twist families M Bhargava, Z Klagsbrun, RJ Lemke Oliver, A Shnidman Algebra & Number Theory 15 (3), 627-655, 2021 | 7 | 2021 |

The number of ramified primes in number fields of small degree R Lemke Oliver, F Thorne Proceedings of the American Mathematical Society 145 (8), 3201-3210, 2017 | 7 | 2017 |

An approximate form of Artin’s holomorphy conjecture and non-vanishing of Artin -functions RJ Lemke Oliver, J Thorner, A Zaman Inventiones mathematicae 235 (3), 893-971, 2024 | 6 | 2024 |

Improved lower bounds for the number of fields with alternating Galois group A Landesman, RJ Lemke Oliver, F Thorne Bulletin of the London Mathematical Society 53 (4), 1159-1173, 2021 | 6 | 2021 |

Best Possible Densities of Dickson *m*-Tuples, as a Consequence of Zhang–Maynard–TaoA Granville, DM Kane, D Koukoulopoulos, RJL Oliver Analytic Number Theory: In Honor of Helmut Maier’s 60th Birthday, 133-144, 2015 | 6 | 2015 |

Improved bounds on number fields of small degree TC Anderson, A Gafni, K Hughes, RJL Oliver, D Lowry-Duda, F Thorne, ... arXiv preprint arXiv:2204.01651, 2022 | 5 | 2022 |