Bertini theorems over finite fields B Poonen Annals of mathematics, 1099-1127, 2004 | 208 | 2004 |

The Cassels-Tate pairing on polarized abelian varieties B Poonen, M Stoll Annals of Mathematics, 1109-1149, 1999 | 168 | 1999 |

Rational points on varieties B Poonen American Mathematical Soc., 2017 | 151 | 2017 |

Explicit descent for Jacobians of cyclic coevers of the projective line. EF Schaefer, B Poonen Walter de Gruyter, Berlin/New York 1997 (488), 141-188, 1997 | 144 | 1997 |

Cycles of quadratic polynomials and rational points on a genus-two curve EV Flynn, B Poonen, EF Schaefer arXiv preprint math/9508211, 1995 | 138 | 1995 |

The method of Chabauty and Coleman W McCallum, B Poonen Explicit methods in number theory 36, 99-117, 2012 | 111 | 2012 |

Large torsion subgroups of split Jacobians of curves of genus two or three EW Howe, F Leprévost, B Poonen Walter de Gruyter GmbH & Co. KG 12 (3), 315-364, 2000 | 107 | 2000 |

The Grothendieck ring of varieties is not a domain B Poonen arXiv preprint math/0204306, 2002 | 106 | 2002 |

Twists of and primitive solutions to B Poonen, EF Schaefer, M Stoll Duke Mathematical Journal 137 (1), 103-158, 2007 | 102 | 2007 |

The classification of rational preperiodic points of quadratic polynomials over : a refined conjecture B Poonen Mathematische Zeitschrift 228 (1), 11-29, 1998 | 92 | 1998 |

Lattice polygons and the number 12 B Poonen, F Rodriguez-Villegas The American Mathematical Monthly 107 (3), 238-250, 2000 | 87 | 2000 |

Some diophantine equations of the form B Poonen Acta Arithmetica 86 (3), 193-205, 1998 | 87 | 1998 |

Squarefree values of multivariable polynomials B Poonen Duke Mathematical Journal 118 (2), 353-373, 2003 | 81 | 2003 |

Random maximal isotropic subspaces and Selmer groups B Poonen, E Rains Journal of the American Mathematical Society 25 (1), 245-269, 2012 | 78 | 2012 |

Random polynomials having few or no real zeros A Dembo, B Poonen, QM Shao, O Zeitouni Journal of the American Mathematical Society 15 (4), 857-892, 2002 | 74 | 2002 |

The William Lowell Putnam mathematical competition 1985-2000: problems, solutions and commentary KS Kedlaya, WLPM Compe, KS Kedlaya, B Poonen, R Vakil MAA, 2002 | 73 | 2002 |

The number of intersection points made by the diagonals of a regular polygon B Poonen, M Rubinstein SIAM Journal on Discrete Mathematics 11 (1), 135-156, 1998 | 72 | 1998 |

Maximally complete fields B Poonen Enseign. Math 39 (1-2), 87-106, 1993 | 72 | 1993 |

Insufficiency of the Brauer-Manin obstruction applied to étale covers B Poonen Annals of mathematics, 2157-2169, 2010 | 70 | 2010 |

Hilbert¢s tenth problem and Mazur¢s conjecture for large subrings of ℚ B Poonen Journal of the American Mathematical Society 16 (4), 981-990, 2003 | 70 | 2003 |