New sum-product type estimates over finite fields O Roche-Newton, M Rudnev, ID Shkredov Advances in Mathematics 293, 589-605, 2016 | 92 | 2016 |

New results on sum‐product type growth over fields B Murphy, G Petridis, O Roche‐Newton, M Rudnev, ID Shkredov Mathematika 65 (3), 588-642, 2019 | 62 | 2019 |

On an application of Guth–Katz theorem A Iosevich, O Roche-Newton, M Rudnev Mathematical Research Letters 18 (4), 691-697, 2011 | 39 | 2011 |

Variations on the sum-product problem B Murphy, O Roche-Newton, I Shkredov SIAM Journal on Discrete Mathematics 29 (1), 514-540, 2015 | 34 | 2015 |

Convexity and a sum-product type estimate L Li, O Roche-Newton arXiv preprint arXiv:1111.5159, 2011 | 33 | 2011 |

On the Minkowski distances and products of sum sets O Roche-Newton, M Rudnev Israel Journal of Mathematics 209 (2), 507-526, 2015 | 32 | 2015 |

An improved sum-product estimate for general finite fields L Li, O Roche-Newton SIAM Journal on Discrete Mathematics 25 (3), 1285-1296, 2011 | 30 | 2011 |

On distinct perpendicular bisectors and pinned distances in finite fields B Hanson, B Lund, O Roche-Newton Finite Fields and Their Applications 37, 240-264, 2016 | 29 | 2016 |

Improved bounds on the set A (A+ 1) TGF Jones, O Roche-Newton Journal of Combinatorial Theory, Series A 120 (3), 515-526, 2013 | 29 | 2013 |

Variations on the sum-product problem II B Murphy, O Roche-Newton, ID Shkredov SIAM Journal on Discrete Mathematics 31 (3), 1878-1894, 2017 | 21 | 2017 |

Sets with few distinct distances do not have heavy lines OE Raz, O Roche-Newton, M Sharir Discrete Mathematics 338 (8), 1484-1492, 2015 | 20 | 2015 |

A short proof of a near-optimal cardinality estimate for the product of a sum set O Roche-Newton arXiv preprint arXiv:1502.05560, 2015 | 17 | 2015 |

On discrete values of bilinear forms A Iosevich, O Roche-Newton, M Rudnev Sbornik: Mathematics 209 (10), 1482, 2018 | 16 | 2018 |

Expanders with superquadratic growth A Balog, O Roche-Newton, D Zhelezov arXiv preprint arXiv:1611.05251, 2016 | 15 | 2016 |

Elementary methods for incidence problems in finite fields J Cilleruelo, A Iosevich, B Lund, O Roche-Newton, M Rudnev arXiv preprint arXiv:1407.2397, 2014 | 13 | 2014 |

New sum-product estimates for real and complex numbers A Balog, O Roche-Newton Discrete & Computational Geometry 53 (4), 825-846, 2015 | 12 | 2015 |

An energy bound in the affine group G Petridis, O Roche-Newton, M Rudnev, A Warren International Mathematics Research Notices 2022 (2), 1154-1172, 2022 | 11 | 2022 |

Polynomial values in subfields and affine subspaces of finite fields O Roche-Newton, IE Shparlinski The Quarterly Journal of Mathematics 66 (2), 693-706, 2015 | 11 | 2015 |

A bound on the multiplicative energy of a sum set and extremal sum-product problems O Roche-Newton, D Zhelezov arXiv preprint arXiv:1410.1156, 2014 | 11 | 2014 |

New expander bounds from affine group energy O Roche-Newton, A Warren Discrete & Computational Geometry 66 (2), 552-574, 2021 | 8 | 2021 |