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31 Publications
2023 | Journal Article | IST-REx-ID: 12916 | 
D. Bonolis and T. D. Browning, “Uniform bounds for rational points on hyperelliptic fibrations,” Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 24, no. 1. Scuola Normale Superiore, pp. 173–204, 2023.
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2023 | Journal Article | IST-REx-ID: 13180 |
T. D. Browning, J. Lyczak, and R. Sarapin, “Local solubility for a family of quadrics over a split quadric surface,” Involve, vol. 16, no. 2. Mathematical Sciences Publishers, pp. 331–342, 2023.
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2023 | Journal Article | IST-REx-ID: 8682 |
T. D. Browning, P. L. Boudec, and W. Sawin, “The Hasse principle for random Fano hypersurfaces,” Annals of Mathematics, vol. 197, no. 3. Project Euclid, pp. 1115–1203, 2023.
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2023 | Journal Article | IST-REx-ID: 9034 |
F. A. Wilsch, “Integral points of bounded height on a log Fano threefold,” International Mathematics Research Notices, vol. 2023, no. 8. Oxford Academic, pp. 6780–6808, 2023.
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2023 | Journal Article | IST-REx-ID: 12427 |
F. Balestrieri, “Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups,” Proceedings of the American Mathematical Society, vol. 151, no. 3. American Mathematical Society, pp. 907–914, 2023.
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2023 | Journal Article | IST-REx-ID: 13091 |
T. D. Browning and W. Sawin, “Free rational curves on low degree hypersurfaces and the circle method,” Algebra and Number Theory, vol. 17, no. 3. Mathematical Sciences Publishers, pp. 719–748, 2023.
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2023 | Journal Article | IST-REx-ID: 13973 |
J. Lyczak, “Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces,” Annales de l’Institut Fourier, vol. 73, no. 2. Association des Annales de l’Institut Fourier, pp. 447–478, 2023.
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2023 | Journal Article | IST-REx-ID: 14245 |
T. Horesh and A. Nevo, “Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution,” Pacific Journal of Mathematics, vol. 324, no. 2. Mathematical Sciences Publishers, pp. 265–294, 2023.
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2022 | Thesis | IST-REx-ID: 12072 |
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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2022 | Journal Article | IST-REx-ID: 12776 |
T. D. Browning, “Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5,” New York Journal of Mathematics, vol. 28. University at Albany, pp. 1193–1229, 2022.
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2022 | Preprint | IST-REx-ID: 10788 |
F. A. Wilsch, “Integral points of bounded height on a certain toric variety,” arXiv. .
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2022 | Journal Article | IST-REx-ID: 9199 |
T. D. Browning, T. Horesh, and F. A. Wilsch, “Equidistribution and freeness on Grassmannians,” Algebra & Number Theory, vol. 16, no. 10. Mathematical Sciences Publishers, pp. 2385–2407, 2022.
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2022 | Journal Article | IST-REx-ID: 9364 |
D. Bonolis, “On the size of the maximum of incomplete Kloosterman sums,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3. Cambridge University Press, pp. 563–590, 2022.
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2022 | Journal Article | IST-REx-ID: 10018 |
U. Derenthal and F. A. Wilsch, “Integral points on singular del Pezzo surfaces,” Journal of the Institute of Mathematics of Jussieu. Cambridge University Press, 2022.
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2022 | Journal Article | IST-REx-ID: 10765 |
Y. Cao and Z. Huang, “Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics,” Advances in Mathematics, vol. 398, no. 3. Elsevier, 2022.
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2022 | Journal Article | IST-REx-ID: 11636 |
P. Kmentt and A. L. Shute, “The Bertini irreducibility theorem for higher codimensional slices,” Finite Fields and their Applications, vol. 83, no. 10. Elsevier, 2022.
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2022 | Journal Article | IST-REx-ID: 12684 |
T. Horesh and F. Paulin, “Effective equidistribution of lattice points in positive characteristic,” Journal de Theorie des Nombres de Bordeaux, vol. 34, no. 3. Centre Mersenne, pp. 679–703, 2022.
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| arXiv
2021 | Preprint | IST-REx-ID: 12077 |
A. L. Shute, “On the leading constant in the Manin-type conjecture for Campana points,” arXiv. .
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2021 | Preprint | IST-REx-ID: 12076 |
A. L. Shute, “Sums of four squareful numbers,” arXiv. .
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2021 | Journal Article | IST-REx-ID: 8742 |
T. D. Browning and R. Heath-Brown, “The geometric sieve for quadrics,” Forum Mathematicum, vol. 33, no. 1. De Gruyter, pp. 147–165, 2021.
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| arXiv
2021 | Journal Article | IST-REx-ID: 9260 |
T. D. Browning and S. Yamagishi, “Arithmetic of higher-dimensional orbifolds and a mixed Waring problem,” Mathematische Zeitschrift, vol. 299. Springer Nature, pp. 1071–1101, 2021.
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2021 | Journal Article | IST-REx-ID: 10711 |
P. Autissier, D. Bonolis, and Y. Lamzouri, “The distribution of the maximum of partial sums of Kloosterman sums and other trace functions,” Compositio Mathematica, vol. 157, no. 7. Cambridge University Press, pp. 1610–1651, 2021.
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| arXiv
2020 | Journal Article | IST-REx-ID: 179 |
T. D. Browning and R. Heath Brown, “Density of rational points on a quadric bundle in ℙ3×ℙ3,” Duke Mathematical Journal, vol. 169, no. 16. Project Euclid, pp. 3099–3165, 2020.
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| arXiv
2020 | Journal Article | IST-REx-ID: 177 |
T. D. Browning and W. Sawin, “A geometric version of the circle method,” Annals of Mathematics, vol. 191, no. 3. Princeton University, pp. 893–948, 2020.
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| arXiv
2020 | Journal Article | IST-REx-ID: 9007 |
T. D. Browning and W. Sawin, “Free rational points on smooth hypersurfaces,” Commentarii Mathematici Helvetici, vol. 95, no. 4. European Mathematical Society, pp. 635–659, 2020.
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| arXiv
2019 | Journal Article | IST-REx-ID: 175 |
T. D. Browning and D. Loughran, “Sieving rational points on varieties,” Transactions of the American Mathematical Society, vol. 371, no. 8. American Mathematical Society, pp. 5757–5785, 2019.
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2019 | Journal Article | IST-REx-ID: 6310 |
T. D. Browning and L. Q. Hu, “Counting rational points on biquadratic hypersurfaces,” Advances in Mathematics, vol. 349. Elsevier, pp. 920–940, 2019.
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| arXiv
2019 | Journal Article | IST-REx-ID: 6620 |
R. De La Bretèche, K. N. Destagnol, J. Liu, J. Wu, and Y. Zhao, “On a certain non-split cubic surface,” Science China Mathematics, vol. 62, no. 12. Springer, pp. 2435–2446, 2019.
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2019 | Journal Article | IST-REx-ID: 6835 |
K. N. Destagnol and E. Sofos, “Rational points and prime values of polynomials in moderately many variables,” Bulletin des Sciences Mathematiques, vol. 156, no. 11. Elsevier, 2019.
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2019 | Journal Article | IST-REx-ID: 10874 |
S. Ionica et al., “Modular invariants for genus 3 hyperelliptic curves,” Research in Number Theory, vol. 5. Springer Nature, 2019.
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