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34 Publications


2021 | Published | Journal Article | IST-REx-ID: 8742 | OA
The geometric sieve for quadrics
T.D. Browning, R. Heath-Brown, Forum Mathematicum 33 (2021) 147–165.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2021 | Submitted | Preprint | IST-REx-ID: 12076 | OA
Sums of four squareful numbers
A.L. Shute, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2021 | Submitted | Preprint | IST-REx-ID: 12077 | OA
On the leading constant in the Manin-type conjecture for Campana points
A.L. Shute, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2021 | Published | Journal Article | IST-REx-ID: 9260 | OA
Arithmetic of higher-dimensional orbifolds and a mixed Waring problem
T.D. Browning, S. Yamagishi, Mathematische Zeitschrift 299 (2021) 1071–1101.
[Published Version] View | Files available | DOI | WoS
 

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.
View | DOI
 

2021 | Published | Journal Article | IST-REx-ID: 10711 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2020 | Published | Journal Article | IST-REx-ID: 9007 | OA
Free rational points on smooth hypersurfaces
T.D. Browning, W. Sawin, Commentarii Mathematici Helvetici 95 (2020) 635–659.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2020 | Published | Journal Article | IST-REx-ID: 177 | OA
A geometric version of the circle method
T.D. Browning, W. Sawin, Annals of Mathematics 191 (2020) 893–948.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2020 | Published | Journal Article | IST-REx-ID: 179 | OA
Density of rational points on a quadric bundle in ℙ3×ℙ3
T.D. Browning, R. Heath Brown, Duke Mathematical Journal 169 (2020) 3099–3165.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2019 | Published | Journal Article | IST-REx-ID: 6310 | OA
Counting rational points on biquadratic hypersurfaces
T.D. Browning, L.Q. Hu, Advances in Mathematics 349 (2019) 920–940.
[Submitted Version] View | Files available | DOI | WoS | arXiv
 

2019 | Published | Journal Article | IST-REx-ID: 6620 | OA
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.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2019 | Published | Journal Article | IST-REx-ID: 6835 | OA
Rational points and prime values of polynomials in moderately many variables
K.N. Destagnol, E. Sofos, Bulletin Des Sciences Mathematiques 156 (2019).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2019 | Published | Journal Article | IST-REx-ID: 175 | OA
Sieving rational points on varieties
T.D. Browning, D. Loughran, Transactions of the American Mathematical Society 371 (2019) 5757–5785.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2019 | Published | Journal Article | IST-REx-ID: 10874 | OA
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).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

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