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19 Publications
2022 | Journal Article | IST-REx-ID: 10765 | 
Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics
Y. Cao, Z. Huang, Advances in Mathematics 398 (2022).
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Y. Cao, Z. Huang, Advances in Mathematics 398 (2022).
2022 | Preprint | IST-REx-ID: 10788 |
Integral points of bounded height on a certain toric variety
F.A. Wilsch, ArXiv (n.d.).
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F.A. Wilsch, ArXiv (n.d.).
2022 | Journal Article | IST-REx-ID: 9364 |
On the size of the maximum of incomplete Kloosterman sums
D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.
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D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.
2021 | Journal Article | IST-REx-ID: 10711 |
The distribution of the maximum of partial sums of Kloosterman sums and other trace functions
P. Autissier, D. Bonolis, Y. Lamzouri, Compositio Mathematica 157 (2021) 1610–1651.
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P. Autissier, D. Bonolis, Y. Lamzouri, Compositio Mathematica 157 (2021) 1610–1651.
2021 | Journal Article | IST-REx-ID: 8742 |
The geometric sieve for quadrics
T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.
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T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.
2021 | Preprint | IST-REx-ID: 9034 |
Integral points of bounded height on a log Fano threefold
F.A. Wilsch, ArXiv (n.d.).
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F.A. Wilsch, ArXiv (n.d.).
2021 | Preprint | IST-REx-ID: 9199 |
Equidistribution and freeness on Grassmannians
T.D. Browning, T. Horesh, F.A. Wilsch, ArXiv (n.d.).
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T.D. Browning, T. Horesh, F.A. Wilsch, ArXiv (n.d.).
2021 | Journal Article | IST-REx-ID: 9260 |
Arithmetic of higher-dimensional orbifolds and a mixed Waring problem
T.D. Browning, S. Yamagishi, Mathematische Zeitschrift 299 (2021) 1071–1101.
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T.D. Browning, S. Yamagishi, Mathematische Zeitschrift 299 (2021) 1071–1101.
2021 | Preprint | IST-REx-ID: 10018 |
Integral points on singular del Pezzo surfaces
U. Derenthal, F.A. Wilsch, ArXiv (n.d.).
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U. Derenthal, F.A. Wilsch, ArXiv (n.d.).
2021 | Book | IST-REx-ID: 10415
Cubic Forms and the Circle Method
T. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham, 2021.
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T. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham, 2021.
2020 | Journal Article | IST-REx-ID: 177 |
A geometric version of the circle method
T.D. Browning, W. Sawin, Annals of Mathematics 191 (2020) 893–948.
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T.D. Browning, W. Sawin, Annals of Mathematics 191 (2020) 893–948.
2020 | Journal Article | IST-REx-ID: 179 |
Density of rational points on a quadric bundle in ℙ3×ℙ3
T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.
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T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.
2020 | Preprint | IST-REx-ID: 8682 |
The Hasse principle for random Fano hypersurfaces
T.D. Browning, P.L. Boudec, W. Sawin, ArXiv (n.d.).
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T.D. Browning, P.L. Boudec, W. Sawin, ArXiv (n.d.).
2020 | Journal Article | IST-REx-ID: 9007 |
Free rational points on smooth hypersurfaces
T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659.
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T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659.
2019 | Journal Article | IST-REx-ID: 10874 |
Modular invariants for genus 3 hyperelliptic curves
S. Ionica, P. Kılıçer, K. Lauter, E. Lorenzo García, M.-A. Manzateanu, M. Massierer, C. Vincent, Research in Number Theory 5 (2019).
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S. Ionica, P. Kılıçer, K. Lauter, E. Lorenzo García, M.-A. Manzateanu, M. Massierer, C. Vincent, Research in Number Theory 5 (2019).
2019 | Journal Article | IST-REx-ID: 175 |
Sieving rational points on varieties
T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.
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T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.
2019 | Journal Article | IST-REx-ID: 6310 |
Counting rational points on biquadratic hypersurfaces
T.D. Browning, L.Q. Hu, Advances in Mathematics 349 (2019) 920–940.
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T.D. Browning, L.Q. Hu, Advances in Mathematics 349 (2019) 920–940.
2019 | Journal Article | IST-REx-ID: 6620 |
On a certain non-split cubic surface
R. De La Bretèche, K.N. Destagnol, J. Liu, J. Wu, Y. Zhao, Science China Mathematics 62 (2019) 2435–2446.
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R. De La Bretèche, K.N. Destagnol, J. Liu, J. Wu, Y. Zhao, Science China Mathematics 62 (2019) 2435–2446.
2019 | Journal Article | IST-REx-ID: 6835 |
Rational points and prime values of polynomials in moderately many variables
K.N. Destagnol, E. Sofos, Bulletin Des Sciences Mathematiques 156 (2019).
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K.N. Destagnol, E. Sofos, Bulletin Des Sciences Mathematiques 156 (2019).