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64 Publications
2023 | Published | Journal Article | IST-REx-ID: 8682 |

The Hasse principle for random Fano hypersurfaces
T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.
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T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.
2023 | Submitted | Preprint | IST-REx-ID: 19054 |

Motivic distribution of rational curves and twisted products of toric varieties
L. Faisant, ArXiv (n.d.).
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L. Faisant, ArXiv (n.d.).
2023 | Published | Journal Article | IST-REx-ID: 18179 |

p-adic directions of primitive vectors
A. Guilloux, T. Horesh, Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres 2023 (2023) 85–107.
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A. Guilloux, T. Horesh, Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres 2023 (2023) 85–107.
2023 | Published | Journal Article | IST-REx-ID: 13091 |

Free rational curves on low degree hypersurfaces and the circle method
T.D. Browning, W. Sawin, Algebra and Number Theory 17 (2023) 719–748.
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T.D. Browning, W. Sawin, Algebra and Number Theory 17 (2023) 719–748.
2023 | Published | Journal Article | IST-REx-ID: 14717 |

Equidistribution of primitive lattices in ℝn
T. Horesh, Y. Karasik, Quarterly Journal of Mathematics 74 (2023) 1253–1294.
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T. Horesh, Y. Karasik, Quarterly Journal of Mathematics 74 (2023) 1253–1294.
2023 | Published | Journal Article | IST-REx-ID: 12313 |

Some effectivity results for primitive divisors of elliptic divisibility sequences
M. Verzobio, Pacific Journal of Mathematics 325 (2023) 331–351.
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M. Verzobio, Pacific Journal of Mathematics 325 (2023) 331–351.
2023 | Published | Journal Article | IST-REx-ID: 13973 |

Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces
J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.
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J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.
2023 | Draft | Preprint | IST-REx-ID: 18294 |

Complete intersections of cubic and quadric hypersurfaces over Fq(t)
J. Glas, ArXiv (n.d.).
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J. Glas, ArXiv (n.d.).
2023 | Published | Journal Article | IST-REx-ID: 9034 |

Integral points of bounded height on a log Fano threefold
F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.
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F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.
2022 | Published | Journal Article | IST-REx-ID: 10765 |

Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics
Y. Cao, Z. Huang, Advances in Mathematics 398 (2022).
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Y. Cao, Z. Huang, Advances in Mathematics 398 (2022).
2022 | Published | Journal Article | IST-REx-ID: 9364 |

On the size of the maximum of incomplete Kloosterman sums
D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.
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D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.
2022 | Published | Thesis | IST-REx-ID: 12072 |

Existence and density problems in Diophantine geometry: From norm forms to Campana points
A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.
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A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.
2022 | Submitted | Preprint | IST-REx-ID: 10788 |

Integral points of bounded height on a certain toric variety
F.A. Wilsch, ArXiv (n.d.).
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F.A. Wilsch, ArXiv (n.d.).
2022 | Published | Journal Article | IST-REx-ID: 12776 |

Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5
T.D. Browning, New York Journal of Mathematics 28 (2022) 1193–1229.
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T.D. Browning, New York Journal of Mathematics 28 (2022) 1193–1229.
2022 | Published | Journal Article | IST-REx-ID: 9199 |

Equidistribution and freeness on Grassmannians
T.D. Browning, T. Horesh, F.A. Wilsch, Algebra & Number Theory 16 (2022) 2385–2407.
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T.D. Browning, T. Horesh, F.A. Wilsch, Algebra & Number Theory 16 (2022) 2385–2407.
2022 | Published | Journal Article | IST-REx-ID: 12684 |

Effective equidistribution of lattice points in positive characteristic
T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703.
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T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703.
2022 | Draft | Preprint | IST-REx-ID: 18293 |

On a question of Davenport and diagonal cubic forms over Fq(t)
J. Glas, L. Hochfilzer, ArXiv (n.d.).
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J. Glas, L. Hochfilzer, ArXiv (n.d.).
2022 | Published | Journal Article | IST-REx-ID: 17058 |

On the leading constant in the Manin-type conjecture for Campana points
A.L. Shute, Acta Arithmetica 204 (2022) 317–346.
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A.L. Shute, Acta Arithmetica 204 (2022) 317–346.
2022 | Published | Journal Article | IST-REx-ID: 11636 |

The Bertini irreducibility theorem for higher codimensional slices
P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).
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P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).
2021 | Published | Journal Article | IST-REx-ID: 15279 |

Motivic Euler products in motivic statistics
M. Bilu, S. Howe, Algebra & Number Theory 15 (2021) 2195–2259.
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M. Bilu, S. Howe, Algebra & Number Theory 15 (2021) 2195–2259.