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64 Publications
2023 | Published | Journal Article | IST-REx-ID: 8682 | 
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 | Submitted | Preprint | IST-REx-ID: 19054 |
Faisant, Loïs. “Motivic Distribution of Rational Curves and Twisted Products of Toric Varieties.” ArXiv, 2302.07339, doi:10.48550/ARXIV.2302.07339.
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2023 | Published | Journal Article | IST-REx-ID: 18179 |
Guilloux, Antonin, and Tal Horesh. “P-Adic Directions of Primitive Vectors.” Publications Mathématiques de Besançon - Algèbre et Théorie Des Nombres, vol. 2023, Presses Universitaires de Franche-Comté, 2023, pp. 85–107, doi:10.5802/pmb.50.
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2023 | Published | Journal Article | IST-REx-ID: 13091 |
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 | Published | Journal Article | IST-REx-ID: 14717 |
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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2023 | Published | Journal Article | IST-REx-ID: 12313 |
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 | Published | Journal Article | IST-REx-ID: 13973 |
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 | Draft | Preprint | IST-REx-ID: 18294 |
Glas, Jakob. “Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” ArXiv, 2306.02718, doi:10.48550/arXiv.2306.02718.
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2023 | Published | Journal Article | IST-REx-ID: 9034 |
Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Log Fano Threefold.” International Mathematics Research Notices, vol. 2023, no. 8, Oxford University Press, 2023, pp. 6780–808, doi:10.1093/imrn/rnac048.
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2022 | Published | Journal Article | IST-REx-ID: 10765 |
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 | Published | Journal Article | IST-REx-ID: 9364 |
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 | Published | Thesis | IST-REx-ID: 12072 |
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 | Submitted | Preprint | IST-REx-ID: 10788 |
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 | Published | Journal Article | IST-REx-ID: 12776 |
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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2022 | Published | Journal Article | IST-REx-ID: 9199 |
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 | Published | Journal Article | IST-REx-ID: 12684 |
Horesh, Tal, and Frédéric Paulin. “Effective Equidistribution of Lattice Points in Positive Characteristic.” Journal de Theorie Des Nombres de Bordeaux, vol. 34, no. 3, Université de Bordeaux, 2022, pp. 679–703, doi:10.5802/JTNB.1222.
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2022 | Draft | Preprint | IST-REx-ID: 18293 |
Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal Cubic Forms over Fq(T).” ArXiv, 2208.05422, doi:10.48550/arXiv.2208.05422.
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2022 | Published | Journal Article | IST-REx-ID: 17058 |
Shute, Alec L. “On the Leading Constant in the Manin-Type Conjecture for Campana Points.” Acta Arithmetica, vol. 204, no. 4, Institute of Mathematics, 2022, pp. 317–46, doi:10.4064/aa210430-1-7.
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2022 | Published | Journal Article | IST-REx-ID: 11636 |
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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2021 | Published | Journal Article | IST-REx-ID: 15279 |
Bilu, Margaret, and Sean Howe. “Motivic Euler Products in Motivic Statistics.” Algebra & Number Theory, vol. 15, no. 9, Mathematical Sciences Publishers, 2021, pp. 2195–259, doi:10.2140/ant.2021.15.2195.
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