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28 Publications
2023 | 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 | 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 | 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.
2023 | 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.
2023 | 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.
2022 | 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 (2022).
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U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu (2022).
2022 | 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 | 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).
2022 | 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 | 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 | 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 | 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 | 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 | 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.
2021 | Book | IST-REx-ID: 10415
Cubic Forms and the Circle Method
T.D. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham, 2021.
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T.D. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham, 2021.
2021 | Journal Article | IST-REx-ID: 10711 |
The distribution of the maximum of partial sums of Kloosterman sums and other trace functions
P. Autissier, D. Bonolis, Y. Lamzouri, Compositio Mathematica 157 (2021) 1610–1651.
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P. Autissier, D. Bonolis, Y. Lamzouri, Compositio Mathematica 157 (2021) 1610–1651.
2021 | Preprint | IST-REx-ID: 12077 |
On the leading constant in the Manin-type conjecture for Campana points
A.L. Shute, ArXiv (n.d.).
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A.L. Shute, ArXiv (n.d.).
2021 | Preprint | IST-REx-ID: 12076 |
Sums of four squareful numbers
A.L. Shute, ArXiv (n.d.).
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A.L. Shute, ArXiv (n.d.).
2021 | Journal Article | IST-REx-ID: 8742 |
The geometric sieve for quadrics
T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.
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T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.
2021 | Journal Article | IST-REx-ID: 9260 |
Arithmetic of higher-dimensional orbifolds and a mixed Waring problem
T.D. Browning, S. Yamagishi, Mathematische Zeitschrift 299 (2021) 1071–1101.
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T.D. Browning, S. Yamagishi, Mathematische Zeitschrift 299 (2021) 1071–1101.