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59 Publications
2022 | Published | Journal Article | IST-REx-ID: 11636 | 
The Bertini irreducibility theorem for higher codimensional slices
P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).
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P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).
2022 | Published | Journal Article | IST-REx-ID: 12684 |
Effective equidistribution of lattice points in positive characteristic
T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703.
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T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703.
2022 | Published | Journal Article | IST-REx-ID: 12776 |
Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5
T.D. Browning, New York Journal of Mathematics 28 (2022) 1193–1229.
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T.D. Browning, New York Journal of Mathematics 28 (2022) 1193–1229.
2022 | Published | Thesis | IST-REx-ID: 12072 |
Existence and density problems in Diophantine geometry: From norm forms to Campana points
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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A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.
2021 | Published | Book | IST-REx-ID: 10415
Cubic Forms and the Circle Method
T.D. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham, 2021.
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T.D. Browning, Cubic Forms and the Circle Method, Springer Nature, Cham, 2021.
2021 | Published | 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 | Published | 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 | Published | 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 | Published | Journal Article | IST-REx-ID: 15279 |
Motivic Euler products in motivic statistics
M. Bilu, S. Howe, Algebra & Number Theory 15 (2021) 2195–2259.
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M. Bilu, S. Howe, Algebra & Number Theory 15 (2021) 2195–2259.
2021 | Draft | Preprint | IST-REx-ID: 12077 |
On the leading constant in the Manin-type conjecture for Campana points
A.L. Shute, ArXiv (n.d.).
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A.L. Shute, ArXiv (n.d.).
2021 | Draft | Preprint | IST-REx-ID: 12076 |
Sums of four squareful numbers
A.L. Shute, ArXiv (n.d.).
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A.L. Shute, ArXiv (n.d.).
2020 | Published | 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.
2020 | Published | 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 | Published | 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.
2019 | Published | 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 | Published | 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 | Published | 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 | Published | 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 | Published | 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).