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35 Publications


2024 | Journal Article | IST-REx-ID: 12312 | OA
Lombardo, Davide, and Matteo Verzobio. “On the Local-Global Principle for Isogenies of Abelian Surfaces.” Selecta Mathematica, vol. 30, no. 2, 18, Springer Nature, 2024, doi:10.1007/s00029-023-00908-0.
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2024 | Journal Article | IST-REx-ID: 12311 | OA
Naskręcki, Bartosz, and Matteo Verzobio. “Common Valuations of Division Polynomials.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2203.02015, Cambridge University Press, 2024, doi:10.1017/prm.2024.7.
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2023 | Journal Article | IST-REx-ID: 13180 | OA
Browning, Timothy D., et al. “Local Solubility for a Family of Quadrics over a Split Quadric Surface.” Involve, vol. 16, no. 2, Mathematical Sciences Publishers, 2023, pp. 331–42, doi:10.2140/involve.2023.16.331.
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2023 | Journal Article | IST-REx-ID: 9034 | OA
Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” International Mathematics Research Notices, vol. 2023, no. 8, Oxford Academic, 2023, pp. 6780–808, doi:10.1093/imrn/rnac048.
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2023 | Journal Article | IST-REx-ID: 12427 | OA
Balestrieri, Francesca. “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, 2023, pp. 907–14, doi:10.1090/proc/15239.
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2023 | Journal Article | IST-REx-ID: 13091 | OA
Browning, Timothy D., and Will Sawin. “Free Rational Curves on Low Degree Hypersurfaces and the Circle Method.” Algebra and Number Theory, vol. 17, no. 3, Mathematical Sciences Publishers, 2023, pp. 719–48, doi:10.2140/ant.2023.17.719.
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2023 | Journal Article | IST-REx-ID: 8682 | OA
Browning, Timothy D., et al. “The Hasse Principle for Random Fano Hypersurfaces.” Annals of Mathematics, vol. 197, no. 3, Princeton University, 2023, pp. 1115–203, doi:10.4007/annals.2023.197.3.3.
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2023 | Journal Article | IST-REx-ID: 12916 | OA
Bonolis, Dante, and Timothy 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 - Edizioni della Normale, 2023, pp. 173–204, doi:10.2422/2036-2145.202010_018.
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2023 | Journal Article | IST-REx-ID: 12313 | OA
Verzobio, Matteo. “Some Effectivity Results for Primitive Divisors of Elliptic Divisibility  Sequences.” Pacific Journal of Mathematics, vol. 325, no. 2, Mathematical Sciences Publishers, 2023, pp. 331–51, doi:10.2140/pjm.2023.325.331.
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2023 | Journal Article | IST-REx-ID: 13973 | OA
Lyczak, Julian. “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, 2023, pp. 447–78, doi:10.5802/aif.3529.
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2023 | Journal Article | IST-REx-ID: 14245 | OA
Horesh, Tal, and Amos Nevo. “Horospherical Coordinates of Lattice Points in Hyperbolic Spaces: Effective Counting and Equidistribution.” Pacific Journal of Mathematics, vol. 324, no. 2, Mathematical Sciences Publishers, 2023, pp. 265–94, doi:10.2140/pjm.2023.324.265.
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2023 | Journal Article | IST-REx-ID: 14717 | OA
Horesh, Tal, and Yakov Karasik. “Equidistribution of Primitive Lattices in ℝn.” Quarterly Journal of Mathematics, vol. 74, no. 4, Oxford University Press, 2023, pp. 1253–94, doi:10.1093/qmath/haad008.
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2022 | Thesis | IST-REx-ID: 12072 | OA
Shute, Alec L. Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12072.
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2022 | Preprint | IST-REx-ID: 10788 | OA
Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, 2202.10909, doi:10.48550/arXiv.2202.10909.
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2022 | Journal Article | IST-REx-ID: 9199 | OA
Browning, Timothy D., et al. “Equidistribution and Freeness on Grassmannians.” Algebra & Number Theory, vol. 16, no. 10, Mathematical Sciences Publishers, 2022, pp. 2385–407, doi:10.2140/ant.2022.16.2385.
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2022 | Journal Article | IST-REx-ID: 9364 | OA
Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3, Cambridge University Press, 2022, pp. 563–90, doi:10.1017/S030500412100030X.
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2022 | Journal Article | IST-REx-ID: 10018 | OA
Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu, Cambridge University Press, 2022, doi:10.1017/S1474748022000482.
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2022 | Journal Article | IST-REx-ID: 10765 | OA
Cao, Yang, and Zhizhong Huang. “Arithmetic Purity of the Hardy-Littlewood Property and Geometric Sieve for Affine Quadrics.” Advances in Mathematics, vol. 398, no. 3, 108236, Elsevier, 2022, doi:10.1016/j.aim.2022.108236.
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2022 | Journal Article | IST-REx-ID: 11636 | OA
Kmentt, Philip, and Alec L. Shute. “The Bertini Irreducibility Theorem for Higher Codimensional Slices.” Finite Fields and Their Applications, vol. 83, no. 10, 102085, Elsevier, 2022, doi:10.1016/j.ffa.2022.102085.
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2022 | Journal Article | IST-REx-ID: 12684 | OA
Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.” Journal de Theorie Des Nombres de Bordeaux, vol. 34, no. 3, Centre Mersenne, 2022, pp. 679–703, doi:10.5802/JTNB.1222.
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2022 | Journal Article | IST-REx-ID: 12776 | OA
Browning, Timothy D. “Revisiting the Manin–Peyre Conjecture for the Split Del Pezzo Surface of Degree 5.” New York Journal of Mathematics, vol. 28, State University of New York, 2022, pp. 1193–229.
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2021 | Book | IST-REx-ID: 10415
Browning, Timothy D. Cubic Forms and the Circle Method. Vol. 343, Springer Nature, 2021, doi:10.1007/978-3-030-86872-7.
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2021 | Preprint | IST-REx-ID: 12077 | OA
Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for Campana Points.” ArXiv, 2104.14946, doi:10.48550/arXiv.2104.14946.
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2021 | Preprint | IST-REx-ID: 12076 | OA
Shute, Alec L. “Sums of Four Squareful Numbers.” ArXiv, 2104.06966, doi:10.48550/arXiv.2104.06966.
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2021 | Journal Article | IST-REx-ID: 9260 | OA
Browning, Timothy D., and Shuntaro Yamagishi. “Arithmetic of Higher-Dimensional Orbifolds and a Mixed Waring Problem.” Mathematische Zeitschrift, vol. 299, Springer Nature, 2021, pp. 1071–1101, doi:10.1007/s00209-021-02695-w.
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2021 | Journal Article | IST-REx-ID: 10711 | OA
Autissier, Pascal, et al. “The Distribution of the Maximum of Partial Sums of Kloosterman Sums and Other Trace Functions.” Compositio Mathematica, vol. 157, no. 7, Cambridge University Press, 2021, pp. 1610–51, doi:10.1112/s0010437x21007351.
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2021 | Journal Article | IST-REx-ID: 8742 | OA
Browning, Timothy D., and Roger Heath-Brown. “The Geometric Sieve for Quadrics.” Forum Mathematicum, vol. 33, no. 1, De Gruyter, 2021, pp. 147–65, doi:10.1515/forum-2020-0074.
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2020 | Journal Article | IST-REx-ID: 177 | OA
Browning, Timothy D., and Will Sawin. “A Geometric Version of the Circle Method.” Annals of Mathematics, vol. 191, no. 3, Princeton University, 2020, pp. 893–948, doi:10.4007/annals.2020.191.3.4.
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2020 | Journal Article | IST-REx-ID: 9007 | OA
Browning, Timothy D., and Will Sawin. “Free Rational Points on Smooth Hypersurfaces.” Commentarii Mathematici Helvetici, vol. 95, no. 4, European Mathematical Society, 2020, pp. 635–59, doi:10.4171/CMH/499.
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2020 | Journal Article | IST-REx-ID: 179 | OA
Browning, Timothy D., and Roger Heath Brown. “Density of Rational Points on a Quadric Bundle in ℙ3×ℙ3.” Duke Mathematical Journal, vol. 169, no. 16, Duke University Press, 2020, pp. 3099–165, doi:10.1215/00127094-2020-0031.
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2019 | Journal Article | IST-REx-ID: 175 | OA
Browning, Timothy D., and Daniel Loughran. “Sieving Rational Points on Varieties.” Transactions of the American Mathematical Society, vol. 371, no. 8, American Mathematical Society, 2019, pp. 5757–85, doi:10.1090/tran/7514.
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2019 | Journal Article | IST-REx-ID: 6310 | OA
Browning, Timothy D., and L. Q. Hu. “Counting Rational Points on Biquadratic Hypersurfaces.” Advances in Mathematics, vol. 349, Elsevier, 2019, pp. 920–40, doi:10.1016/j.aim.2019.04.031.
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2019 | Journal Article | IST-REx-ID: 6620 | OA
De La Bretèche, Régis, et al. “On a Certain Non-Split Cubic Surface.” Science China Mathematics, vol. 62, no. 12, Springer, 2019, pp. 2435–2446, doi:10.1007/s11425-018-9543-8.
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2019 | Journal Article | IST-REx-ID: 6835 | OA
Destagnol, Kevin N., and Efthymios Sofos. “Rational Points and Prime Values of Polynomials in Moderately Many Variables.” Bulletin Des Sciences Mathematiques, vol. 156, no. 11, 102794, Elsevier, 2019, doi:10.1016/j.bulsci.2019.102794.
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2019 | Journal Article | IST-REx-ID: 10874 | OA
Ionica, Sorina, et al. “Modular Invariants for Genus 3 Hyperelliptic Curves.” Research in Number Theory, vol. 5, 9, Springer Nature, 2019, doi:10.1007/s40993-018-0146-6.
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