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64 Publications
2022 | Published | 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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| arXiv
2022 | Published | 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 | Submitted | Preprint | IST-REx-ID: 10788 |
F. A. Wilsch, “Integral points of bounded height on a certain toric variety,” arXiv. .
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| arXiv
2022 | Published | 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. State University of New York, pp. 1193–1229, 2022.
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2022 | Published | 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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| arXiv
2022 | Published | 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. Université de Bordeaux, pp. 679–703, 2022.
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| arXiv
2022 | Draft | Preprint | IST-REx-ID: 18293 |
J. Glas and L. Hochfilzer, “On a question of Davenport and diagonal cubic forms over Fq(t),” arXiv. .
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2022 | Published | Journal Article | IST-REx-ID: 17058 |
A. L. Shute, “On the leading constant in the Manin-type conjecture for Campana points,” Acta Arithmetica, vol. 204, no. 4. Institute of Mathematics, pp. 317–346, 2022.
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| arXiv
2022 | Published | 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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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 15279 |
M. Bilu and S. Howe, “Motivic Euler products in motivic statistics,” Algebra & Number Theory, vol. 15, no. 9. Mathematical Sciences Publishers, pp. 2195–2259, 2021.
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| arXiv
2021 | Published | 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
2021 | Published | 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 | Draft | Preprint | IST-REx-ID: 12076 |
A. L. Shute, “Sums of four squareful numbers,” arXiv. .
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| arXiv
2021 | Published | 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 | Draft | 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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| arXiv
2020 | Published | 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 | Published | 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. Duke University Press, pp. 3099–3165, 2020.
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| arXiv
2020 | Published | 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 | Published | 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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