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Tim Browning

Christian Bernert

Yijie Diao

Lena Wurzinger

Anna Zanoli

Francesca Balestrieri

Margaret Bilu

Dante Bonolis

Stephanie Chan

Kevin Destagnol

Loïs Faisant

Jakob Glas

Tal Horesh

Zhizhong Huang

Julian Lyczak

Simon Myerson

Alec Shute

Matteo Verzobio

Victor Wang

Florian Wilsch

Shuntaro Yamagishi



85 Publications

2026 | Published | Journal Article | IST-REx-ID: 21002 | OA | PlanS
Browning TD. 2026. The Davenport–Heilbronn method: 80 years on. Journal of the London Mathematical Society. 113(1), e70371.
[Published Version] View | Files available | DOI
 
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 21385 | OA | PlanS
Wang V, Xu M. 2026. Average sizes of mixed character sums. Proceedings of the Royal Society of Edinburgh: Section A Mathematics., 1–15.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 21242 | OA
Rome N, Yamagishi S. 2026. Integral solutions to systems of diagonal equations. Pacific Journal of Mathematics. 340(1), 179–198.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 20078 | OA | PlanS
Barańczuk S, Naskręcki B, Verzobio M. 2026. Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve. Journal of Number Theory. 279, 170–183.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2026 | Published | Journal Article | IST-REx-ID: 22618 | OA | PlanS
Browning TD, Glas J, Wang V. 2026. Sums of three cubes over a function field. Forum of Mathematics Sigma. 14, e112.
[Published Version] View | Files available | DOI | arXiv
 
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 22644 | OA | PlanS
Diao Y. 2026. Liouville function, von Mangoldt function, and norm forms at random binary forms. Glasgow Mathematical Journal., 1–34.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 22821 | OA
Browning TD, Sofos E, Teräväinen J. 2026. Bateman-Horn, polynomial Chowla and the Hasse principle with probability. Journal für die reine und angewandte Mathematik.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 12311 | OA | PlanS
Naskręcki B, Verzobio M. 2025. Common valuations of division polynomials. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 155(5), 1646–1660.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21244 | OA | PlanS
Browning TD, Lyczak J, Smeets A. 2025. Paucity of rational points on fibrations with multiple fibres. Algebra & Number Theory. 19(10), 2049–2090.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20850 | OA
Diao Y. 2025. Class numbers and integer points on some Pellian surfaces. Journal de theorie des nombres de Bordeaux. 37(3), 973–988.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21003 | OA
Browning TD, Verzobio M. 2025. Counting integer points on affine surfaces with a side condition. Discrete Analysis. 2025, 12.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 21260 | OA
Yao Xiao S, Yamagishi S. 2025. Quartic polynomials in two variables do not represent all non-negative integers. Journal of the European Mathematical Society.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18822 | OA
Wang V. 2025. Diagonal cubic forms and the large sieve. Mathematika. 71(1), e70008.
[Published Version] View | Files available | DOI | WoS
 
2025 | Published | Journal Article | IST-REx-ID: 21768 | OA
Yamagishi S. 2025. Birch’s theorem on forms in many variables with a Hessian condition. Acta Arithmetica. 221(2), 141–151.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 21266 | OA
Browning TD, Chan S. 2025. Almost all quadratic twists of an elliptic curve have no integral points. Journal of the European Mathematical Society.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21265 | OA
Wang V, Xu MW. 2025. Harper’s beyond square-root conjecture. International Mathematics Research Notices. 2025(18), rnaf279.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19054 | OA | PlanS
Faisant L. 2025. Motivic distribution of rational curves and twisted products of toric varieties. Algebra & Number Theory. 19, 883–965.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19363 | OA | PlanS
Chan S, Koymans P, Pagano C, Sofos E. 2025. Averages of multiplicative functions along equidistributed sequences. Journal of Number Theory. 273, 1–36.
[Published Version] View | Files available | DOI | WoS
 
2025 | Submitted | Preprint | IST-REx-ID: 19055 | OA
Faisant L. Motivic counting of rational curves with tangency conditions via universal torsors. arXiv, 2502.11704.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19776 | OA
Browning TD, Glas J, Wang V. 2025. Optimal sums of three cubes in Fq[t]. Mathematische Zeitschrift. 310(4), 65.
[Published Version] View | Files available | DOI | WoS | arXiv
 

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