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Tim Browning

Christian Bernert

Yijie Diao

Matteo Verzobio

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

Victor Wang

Florian Wilsch

Shuntaro Yamagishi



80 Publications

2026 | Published | Journal Article | IST-REx-ID: 21002 | OA | PlanS
The Davenport–Heilbronn method: 80 years on
T.D. Browning, Journal of the London Mathematical Society 113 (2026).
[Published Version] View | Files available | DOI
 
2026 | Published | Journal Article | IST-REx-ID: 21242 | OA
Integral solutions to systems of diagonal equations
N. Rome, S. Yamagishi, Pacific Journal of Mathematics 340 (2026) 179–198.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2026 | Epub ahead of print | Journal Article | IST-REx-ID: 21385 | OA | PlanS
Average sizes of mixed character sums
V. Wang, M. Xu, Proceedings of the Royal Society of Edinburgh: Section A Mathematics (2026) 1–15.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 12311 | OA | PlanS
Common valuations of division polynomials
B. Naskręcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 155 (2025) 1646–1660.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 20850 | OA
Class numbers and integer points on some Pellian surfaces
Y. Diao, Journal de Theorie Des Nombres de Bordeaux 37 (2025) 973–988.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21003 | OA
Counting integer points on affine surfaces with a side condition
T.D. Browning, M. Verzobio, Discrete Analysis 2025 (2025).
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21244 | OA | PlanS
Paucity of rational points on fibrations with multiple fibres
T.D. Browning, J. Lyczak, A. Smeets, Algebra & Number Theory 19 (2025) 2049–2090.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 21260 | OA
Quartic polynomials in two variables do not represent all non-negative integers
S. Yao Xiao, S. Yamagishi, Journal of the European Mathematical Society (2025).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21265 | OA
Harper’s beyond square-root conjecture
V. Wang, M.W. Xu, International Mathematics Research Notices 2025 (2025).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 21266 | OA
Almost all quadratic twists of an elliptic curve have no integral points
T.D. Browning, S. Chan, Journal of the European Mathematical Society (2025).
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21343 | OA | PlanS
Solubility of a resultant equation and applications
T.D. Browning, S. Chan, Journal de l’ecole Polytechnique Mathematiques 12 (2025) 1677–1691.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 21768 | OA
Birch’s theorem on forms in many variables with a Hessian condition
S. Yamagishi, Acta Arithmetica 221 (2025) 141–151.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18705 | OA
On a question of Davenport and diagonal cubic forms over Fq(t)
J. Glas, L. Hochfilzer, Mathematische Annalen 391 (2025) 5485–5533.
[Published Version] View | Files available | DOI | WoS | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 18822 | OA
Diagonal cubic forms and the large sieve
V. Wang, Mathematika 71 (2025).
[Published Version] View | Files available | DOI | WoS
 
2025 | Published | Journal Article | IST-REx-ID: 19054 | OA | PlanS
Motivic distribution of rational curves and twisted products of toric varieties
L. Faisant, Algebra & Number Theory 19 (2025) 883–965.
[Published Version] View | Files available | DOI | arXiv
 
2025 | Submitted | Preprint | IST-REx-ID: 19055 | OA
Motivic counting of rational curves with tangency conditions via universal torsors
L. Faisant, ArXiv (n.d.).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19363 | OA | PlanS
Averages of multiplicative functions along equidistributed sequences
S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
[Published Version] View | Files available | DOI | WoS
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19407 | OA
On the L-polynomials of curves over finite fields
F. Ballini, D. Lombardo, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2025).
[Published Version] View | DOI | Download Published Version (ext.) | WoS
 
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19483 | OA
6-torision and integral points on quartic threefolds
S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
2025 | Published | Journal Article | IST-REx-ID: 19673 | OA
Prime Hasse principles via diophantine second moments
V. Wang, Journal of the Association for Mathematical Research 3 (2025) 1–26.
[Published Version] View | Files available | DOI | arXiv
 

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