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64 Publications
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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2021 | Published | 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 | Published | Journal Article | IST-REx-ID: 10711 |
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 | Published | Journal Article | IST-REx-ID: 9260 |
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 | Draft | Preprint | IST-REx-ID: 12076 |
Shute, Alec L. “Sums of Four Squareful Numbers.” ArXiv, 2104.06966, doi:10.48550/arXiv.2104.06966.
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2021 | Published | Journal Article | IST-REx-ID: 8742 |
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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| arXiv
2021 | Draft | Preprint | IST-REx-ID: 12077 |
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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2020 | Published | Journal Article | IST-REx-ID: 177 |
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 | Published | Journal Article | IST-REx-ID: 179 |
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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2020 | Published | Journal Article | IST-REx-ID: 9007 |
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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2019 | Published | Journal Article | IST-REx-ID: 10874 |
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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