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43 Publications
2024 |Epub ahead of print| Journal Article | IST-REx-ID: 12311 |
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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).
2024 |Epub ahead of print| Journal Article | IST-REx-ID: 15337 |
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Density of rational points on some quadric bundle threefolds
D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen (2024).
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D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen (2024).
2024 |Epub ahead of print| Journal Article | IST-REx-ID: 15312 |
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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: 10018 |
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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: 12312 |
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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 |Published| Journal Article | IST-REx-ID: 17323 |
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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 |Epub ahead of print| Journal Article | IST-REx-ID: 15338 |
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Generalised quadratic forms over totally real number fields
T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu (2024).
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T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu (2024).
2024 |Published| Journal Article | IST-REx-ID: 17127 |
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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 |
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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).
2023 |Published| Journal Article | IST-REx-ID: 13180 |
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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: 9034 |
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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.
2023 |Published| Journal Article | IST-REx-ID: 12427 |
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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: 13091 |
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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: 8682 |
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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 |Published| Journal Article | IST-REx-ID: 12916 |
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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.
2023 |Published| Journal Article | IST-REx-ID: 12313 |
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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 |
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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 |Published| Journal Article | IST-REx-ID: 14245 |
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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: 14717 |
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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.
2022 |Published| Thesis | IST-REx-ID: 12072 |
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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.