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36 Publications


2024 | Journal Article | IST-REx-ID: 12312 | OA
On the local-global principle for isogenies of abelian surfaces
D. Lombardo, M. Verzobio, Selecta Mathematica 30 (2024).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2024 | Journal Article | IST-REx-ID: 12311 | OA
Common valuations of division polynomials
B. Naskręcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2024).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 

2023 | Journal Article | IST-REx-ID: 13180 | OA
Local solubility for a family of quadrics over a split quadric surface
T.D. Browning, J. Lyczak, R. Sarapin, Involve 16 (2023) 331–342.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2023 | Journal Article | IST-REx-ID: 9034 | OA
Integral points of bounded height on a log Fano threefold
F.A. Wilsch, International Mathematics Research Notices 2023 (2023) 6780–6808.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2023 | Journal Article | IST-REx-ID: 12427 | OA
Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups
F. Balestrieri, Proceedings of the American Mathematical Society 151 (2023) 907–914.
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2023 | Journal Article | IST-REx-ID: 13091 | OA
Free rational curves on low degree hypersurfaces and the circle method
T.D. Browning, W. Sawin, Algebra and Number Theory 17 (2023) 719–748.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2023 | Journal Article | IST-REx-ID: 8682 | OA
The Hasse principle for random Fano hypersurfaces
T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 

2023 | Journal Article | IST-REx-ID: 12916 | OA
Uniform bounds for rational points on hyperelliptic fibrations
D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze 24 (2023) 173–204.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2023 | Journal Article | IST-REx-ID: 12313 | OA
Some effectivity results for primitive divisors of elliptic divisibility sequences
M. Verzobio, Pacific Journal of Mathematics 325 (2023) 331–351.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2023 | Journal Article | IST-REx-ID: 13973 | OA
Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces
J. Lyczak, Annales de l’Institut Fourier 73 (2023) 447–478.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2023 | Journal Article | IST-REx-ID: 14245 | OA
Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution
T. Horesh, A. Nevo, Pacific Journal of Mathematics 324 (2023) 265–294.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2023 | Journal Article | IST-REx-ID: 14717 | OA
Equidistribution of primitive lattices in ℝn
T. Horesh, Y. Karasik, Quarterly Journal of Mathematics 74 (2023) 1253–1294.
[Published Version] View | Files available | DOI | arXiv
 

2022 | 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 | Preprint | IST-REx-ID: 10788 | OA
Integral points of bounded height on a certain toric variety
F.A. Wilsch, ArXiv (n.d.).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 

2022 | 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 | 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 | Journal Article | IST-REx-ID: 10018 | OA
Integral points on singular del Pezzo surfaces
U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu (2022).
[Published Version] View | DOI | Download Published Version (ext.) | WoS | arXiv
 

2022 | Journal Article | IST-REx-ID: 10765 | OA
Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics
Y. Cao, Z. Huang, Advances in Mathematics 398 (2022).
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 

2022 | 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 | 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 | 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
 

2021 | 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 | 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 | 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 | 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 | 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 | 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 | 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
 

2020 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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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