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64 Publications
2024 | Published | Journal Article | IST-REx-ID: 15312 |

Square-free values of random polynomials
T.D. Browning, I.E. Shparlinski, Journal of Number Theory 261 (2024) 220–240.
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T.D. Browning, I.E. Shparlinski, Journal of Number Theory 261 (2024) 220–240.
2024 | Published | Journal Article | IST-REx-ID: 18064 |

The average number of integral points on the congruent number curves
S. Chan, Advances in Mathematics 457 (2024).
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S. Chan, Advances in Mathematics 457 (2024).
2024 | Published | Journal Article | IST-REx-ID: 18930 |

Sumsets in the set of squares
C. Elsholtz, L. Wurzinger, The Quarterly Journal of Mathematics 75 (2024) 1243–1254.
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C. Elsholtz, L. Wurzinger, The Quarterly Journal of Mathematics 75 (2024) 1243–1254.
2024 | Published | Journal Article | IST-REx-ID: 19051 |

The polynomial sieve and equal sums of like polynomials
T.D. Browning, International Mathematics Research Notices 2024 (2024) 10165–10168.
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T.D. Browning, International Mathematics Research Notices 2024 (2024) 10165–10168.
2024 | Published | Journal Article | IST-REx-ID: 17127 |

Paucity phenomena for polynomial products
V. Wang, M.W. Xu, Bulletin of the London Mathematical Society 56 (2024) 2718–2726.
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V. Wang, M.W. Xu, Bulletin of the London Mathematical Society 56 (2024) 2718–2726.
2024 | Published | Journal Article | IST-REx-ID: 17447 |

Special cubic zeros and the dual variety
V. Wang, Journal of the London Mathematical Society 110 (2024).
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V. Wang, Journal of the London Mathematical Society 110 (2024).
2024 | Published | Journal Article | IST-REx-ID: 10018 |

Integral points on singular del Pezzo surfaces
U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu 23 (2024) 1259–1294.
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U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu 23 (2024) 1259–1294.
2024 | Published | Journal Article | IST-REx-ID: 15338 |

Generalised quadratic forms over totally real number fields
T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu 23 (2024) 2859–2912.
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T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu 23 (2024) 2859–2912.
2024 | Published | Journal Article | IST-REx-ID: 15337 |

Density of rational points on some quadric bundle threefolds
D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen 390 (2024) 4123–4207.
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D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen 390 (2024) 4123–4207.
2024 | Published | Thesis | IST-REx-ID: 18132 |

Counting rational points over function fields
J. Glas, Counting Rational Points over Function Fields, Institute of Science and Technology Austria, 2024.
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J. Glas, Counting Rational Points over Function Fields, Institute of Science and Technology Austria, 2024.
2024 | Published | Journal Article | IST-REx-ID: 17323 |

Strong divisibility sequences and sieve methods
T.D. Browning, M. Verzobio, Mathematika 70 (2024).
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T.D. Browning, M. Verzobio, Mathematika 70 (2024).
2024 | Published | Journal Article | IST-REx-ID: 18173 |

Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t)
J. Glas, Journal of the London Mathematical Society 110 (2024).
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J. Glas, Journal of the London Mathematical Society 110 (2024).
2024 | Submitted | Preprint | IST-REx-ID: 18295 |

Canonical singularities on moduli spaces of rational curves via the circle method
J. Glas, ArXiv (n.d.).
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J. Glas, ArXiv (n.d.).
2024 | Draft | Preprint | IST-REx-ID: 19013 |

Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method
J. Glas, M. Hase-Liu, ArXiv (n.d.).
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J. Glas, M. Hase-Liu, ArXiv (n.d.).
2024 | Published | Journal Article | IST-REx-ID: 12312 |

On the local-global principle for isogenies of abelian surfaces
D. Lombardo, M. Verzobio, Selecta Mathematica 30 (2024).
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D. Lombardo, M. Verzobio, Selecta Mathematica 30 (2024).
2024 | Epub ahead of print | Journal Article | IST-REx-ID: 12311 |

Common valuations of division polynomials
B. Naskręcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2024).
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B. Naskręcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2024).
2023 | Published | Journal Article | IST-REx-ID: 13180 |

Local solubility for a family of quadrics over a split quadric surface
T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342.
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T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342.
2023 | Published | Journal Article | IST-REx-ID: 14245 |

Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution
T. Horesh, A. Nevo, Pacific Journal of Mathematics 324 (2023) 265–294.
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T. Horesh, A. Nevo, Pacific Journal of Mathematics 324 (2023) 265–294.
2023 | Published | Journal Article | IST-REx-ID: 12427 |

Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups
F. Balestrieri, Proceedings of the American Mathematical Society 151 (2023) 907–914.
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F. Balestrieri, Proceedings of the American Mathematical Society 151 (2023) 907–914.
2023 | Published | Journal Article | IST-REx-ID: 12916 |

Uniform bounds for rational points on hyperelliptic fibrations
D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze 24 (2023) 173–204.
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D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze 24 (2023) 173–204.