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80 Publications


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 | 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 | 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 | 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: 20078 | OA | PlanS
Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve
S. Barańczuk, B. Naskręcki, M. Verzobio, Journal of Number Theory 279 (2025) 170–183.
[Published Version] View | DOI | Download Published Version (ext.) | WoS | 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 | 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
 

2024 | Published | Journal Article | IST-REx-ID: 18064 | OA
The average number of integral points on the congruent number curves
S. Chan, Advances in Mathematics 457 (2024).
[Published Version] View | Files available | DOI | arXiv
 

2024 | Published | 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).
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 18930 | OA | PlanS
Sumsets in the set of squares
C. Elsholtz, L. Wurzinger, The Quarterly Journal of Mathematics 75 (2024) 1243–1254.
[Published Version] View | Files available | DOI | WoS
 

2024 | Draft | Preprint | IST-REx-ID: 19013 | OA
Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method
J. Glas, M. Hase-Liu, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 19051 | OA
The polynomial sieve and equal sums of like polynomials
T.D. Browning, International Mathematics Research Notices 2024 (2024) 10165–10168.
[Published Version] View | Files available | DOI | WoS
 

2024 | Published | Journal Article | IST-REx-ID: 15312 | OA
Square-free values of random polynomials
T.D. Browning, I.E. Shparlinski, Journal of Number Theory 261 (2024) 220–240.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 15337 | OA
Density of rational points on some quadric bundle threefolds
D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen 390 (2024) 4123–4207.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 15338 | OA
Generalised quadratic forms over totally real number fields
T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu 23 (2024) 2859–2912.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | 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 23 (2024) 1259–1294.
[Published Version] View | Files available | DOI | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 17127 | OA
Paucity phenomena for polynomial products
V. Wang, M.W. Xu, Bulletin of the London Mathematical Society 56 (2024) 2718–2726.
[Submitted Version] View | Files available | DOI | Download Submitted Version (ext.) | WoS | arXiv
 

2024 | Published | Journal Article | IST-REx-ID: 17323 | OA
Strong divisibility sequences and sieve methods
T.D. Browning, M. Verzobio, Mathematika 70 (2024).
[Published Version] View | Files available | DOI | WoS
 

2024 | Published | Journal Article | IST-REx-ID: 17447 | OA
Special cubic zeros and the dual variety
V. Wang, Journal of the London Mathematical Society 110 (2024).
[Published Version] View | Files available | DOI | WoS | arXiv
 

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