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44 Publications

2022 |Published| Thesis | IST-REx-ID: 12072 | OA
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.
[Published Version] View | Files available | DOI
 
2022 |Submitted| Preprint | IST-REx-ID: 10788 | OA [Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2022 |Published| Journal Article | IST-REx-ID: 9199 | OA
Equidistribution and freeness on Grassmannians
T.D. Browning, T. Horesh, F.A. Wilsch, Algebra & Number Theory 16 (2022) 2385–2407.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2022 |Published| Journal Article | IST-REx-ID: 9364 | OA
On the size of the maximum of incomplete Kloosterman sums
D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2022 |Published| Journal Article | IST-REx-ID: 10765 | OA [Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
2022 |Published| Journal Article | IST-REx-ID: 11636 | OA
The Bertini irreducibility theorem for higher codimensional slices
P. Kmentt, A.L. Shute, Finite Fields and Their Applications 83 (2022).
[Published Version] View | Files available | DOI | WoS | arXiv
 
2022 |Published| Journal Article | IST-REx-ID: 12684 | OA
Effective equidistribution of lattice points in positive characteristic
T. Horesh, F. Paulin, Journal de Theorie Des Nombres de Bordeaux 34 (2022) 679–703.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2022 |Published| Journal Article | IST-REx-ID: 12776 | OA
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.
[Published Version] View | Files available
 
2022 |Published| Journal Article | IST-REx-ID: 17058
On the leading constant in the Manin-type conjecture for Campana points
A.L. Shute, Acta Arithmetica 204 (2022) 317–346.
[Preprint] View | Files available | DOI | arXiv
 
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 |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 |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| 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
 
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 |Published| Journal Article | IST-REx-ID: 15279 | OA
Motivic Euler products in motivic statistics
M. Bilu, S. Howe, Algebra & Number Theory 15 (2021) 2195–2259.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2021 |Submitted| Preprint | IST-REx-ID: 12077 | OA [Preprint] View | Files available | DOI | Download Preprint (ext.) | 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: 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: 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: 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
 

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