Near-optimal mean value estimates for multidimensional Weyl sums ST Parsell, SM Prendiville, TD Wooley Geometric and Functional Analysis 23 (6), 1962-2024, 2013 | 48 | 2013 |

A transference approach to a Roth-type theorem in the squares TD Browning, SM Prendiville International Mathematics Research Notices 2017 (7), 2219-2248, 2017 | 32 | 2017 |

Quantitative bounds in the nonlinear Roth theorem S Peluse, S Prendiville arXiv preprint arXiv:1903.02592, 2019 | 25 | 2019 |

Rado's criterion over squares and higher powers S Chow, S Lindqvist, S Prendiville Journal of the European Mathematical Society 23 (6), 1925-1997, 2021 | 23 | 2021 |

Improvements in Birch’s theorem on forms in many variables TD Browning, SM Prendiville Journal für die reine und angewandte Mathematik (Crelles Journal) 2017 (731 …, 2017 | 23 | 2017 |

Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case S Prendiville Discrete Analysis, 2017 | 20 | 2017 |

Four variants of the Fourier-analytic transference principle S Prendiville arXiv preprint arXiv:1509.09200, 2015 | 20 | 2015 |

A polylogarithmic bound in the nonlinear Roth theorem S Peluse, S Prendiville arXiv preprint arXiv:2003.04122, 2020 | 18 | 2020 |

Counting monochromatic solutions to diagonal Diophantine equations S Prendiville arXiv preprint arXiv:2003.10161, 2020 | 13 | 2020 |

Matrix progressions in multidimensional sets of integers S Prendiville Mathematika 61 (01), 14- 48, 2015 | 12 | 2015 |

Rado's criterion over squares and higher powers S Chow, S Lindqvist, S Prendiville arXiv preprint arXiv:1806.05002, 2018 | 8 | 2018 |

The inverse theorem for the nonlinear Roth configuration: an exposition S Prendiville arXiv preprint arXiv:2003.04121, 2020 | 6 | 2020 |

Solving equations in dense Sidon sets S Prendiville Mathematical Proceedings of the Cambridge Philosophical Society 173 (1), 25-34, 2022 | 5 | 2022 |

Quantitative bounds in the non-linear Roth theorem. preprint S Peluse, S Prendiville arXiv preprint arXiv:1903.02592, 2, 2019 | 5 | 2019 |

Solution-free sets for sums of binary forms SM Prendiville Proceedings of the London Mathematical Society 107 (2), 267-302, 2013 | 5 | 2013 |

On the Ramsey number of the Brauer configuration J Chapman, S Prendiville Bulletin of the London Mathematical Society 52 (2), 316-334, 2020 | 4 | 2020 |

Surveys in Combinatorics 2022 A Nixon, S Prendiville Cambridge University Press, 2022 | 1 | 2022 |

Extremal Sidon sets are Fourier uniform, with applications to partition regularity M Ortega, S Prendiville Journal de théorie des nombres de Bordeaux 35 (1), 115-134, 2023 | | 2023 |

The twenty-ninth British Combinatorial Conference takes place at Lancaster University, from Monday 11th to Friday 15th of July 2022. The British Combinato-rial Committee … A Nixon, S Prendiville | | 2022 |

A transference approach to a Roth-type theorem in the squares S Prendiville, TD Browning International Mathematics Research Notices, 2016 | | 2016 |