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59 Publications
2022 | Published | Journal Article | IST-REx-ID: 11636 | 
Kmentt, P., & Shute, A. L. (2022). The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and Their Applications. Elsevier. https://doi.org/10.1016/j.ffa.2022.102085
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| arXiv
2022 | Published | Journal Article | IST-REx-ID: 12684 |
Horesh, T., & Paulin, F. (2022). Effective equidistribution of lattice points in positive characteristic. Journal de Theorie Des Nombres de Bordeaux. Centre Mersenne. https://doi.org/10.5802/JTNB.1222
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| arXiv
2022 | Published | Journal Article | IST-REx-ID: 12776 |
Browning, T. D. (2022). Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. State University of New York.
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2022 | Published | Thesis | IST-REx-ID: 12072 |
Shute, A. L. (2022). Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12072
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2021 | Published | Book | IST-REx-ID: 10415
Browning, T. D. (2021). Cubic Forms and the Circle Method (Vol. 343). Cham: Springer Nature. https://doi.org/10.1007/978-3-030-86872-7
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2021 | Published | Journal Article | IST-REx-ID: 10711 |
Autissier, P., Bonolis, D., & Lamzouri, Y. (2021). The distribution of the maximum of partial sums of Kloosterman sums and other trace functions. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/s0010437x21007351
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2021 | Published | Journal Article | IST-REx-ID: 8742 |
Browning, T. D., & Heath-Brown, R. (2021). The geometric sieve for quadrics. Forum Mathematicum. De Gruyter. https://doi.org/10.1515/forum-2020-0074
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9260 |
Browning, T. D., & Yamagishi, S. (2021). Arithmetic of higher-dimensional orbifolds and a mixed Waring problem. Mathematische Zeitschrift. Springer Nature. https://doi.org/10.1007/s00209-021-02695-w
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2021 | Published | Journal Article | IST-REx-ID: 15279 |
Bilu, M., & Howe, S. (2021). Motivic Euler products in motivic statistics. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2021.15.2195
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2021 | Draft | Preprint | IST-REx-ID: 12077 |
Shute, A. L. (n.d.). On the leading constant in the Manin-type conjecture for Campana points. arXiv. https://doi.org/10.48550/arXiv.2104.14946
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2021 | Draft | Preprint | IST-REx-ID: 12076 |
Shute, A. L. (n.d.). Sums of four squareful numbers. arXiv. https://doi.org/10.48550/arXiv.2104.06966
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2020 | Published | Journal Article | IST-REx-ID: 9007 |
Browning, T. D., & Sawin, W. (2020). Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. European Mathematical Society. https://doi.org/10.4171/CMH/499
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2020 | Published | Journal Article | IST-REx-ID: 177 |
Browning, T. D., & Sawin, W. (2020). A geometric version of the circle method. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2020.191.3.4
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2020 | Published | Journal Article | IST-REx-ID: 179 |
Browning, T. D., & Heath Brown, R. (2020). Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2020-0031
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2019 | Published | Journal Article | IST-REx-ID: 10874 |
Ionica, S., Kılıçer, P., Lauter, K., Lorenzo García, E., Manzateanu, M.-A., Massierer, M., & Vincent, C. (2019). Modular invariants for genus 3 hyperelliptic curves. Research in Number Theory. Springer Nature. https://doi.org/10.1007/s40993-018-0146-6
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2019 | Published | Journal Article | IST-REx-ID: 175 |
Browning, T. D., & Loughran, D. (2019). Sieving rational points on varieties. Transactions of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/7514
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2019 | Published | Journal Article | IST-REx-ID: 6310 |
Browning, T. D., & Hu, L. Q. (2019). Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2019.04.031
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2019 | Published | Journal Article | IST-REx-ID: 6620 |
De La Bretèche, R., Destagnol, K. N., Liu, J., Wu, J., & Zhao, Y. (2019). On a certain non-split cubic surface. Science China Mathematics. Springer. https://doi.org/10.1007/s11425-018-9543-8
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2019 | Published | Journal Article | IST-REx-ID: 6835 |
Destagnol, K. N., & Sofos, E. (2019). Rational points and prime values of polynomials in moderately many variables. Bulletin Des Sciences Mathematiques. Elsevier. https://doi.org/10.1016/j.bulsci.2019.102794
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