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Anna Zanoli

Yijie Diao

Lena Wurzinger

Christian Bernert

Tim Browning

Matteo Verzobio

Shuntaro Yamagishi

Stephanie Chan

Julian Lyczak

Alec Shute

Simon Myerson

Margaret Bilu

Zhizhong Huang

Francesca Balestrieri

Kevin Destagnol

Jakob Glas

Florian Wilsch

Dante Bonolis

Loïs Faisant

Victor Wang

Tal Horesh



79 Publications

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
 
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 | Thesis | PhD | IST-REx-ID: 18132 | OA
Counting rational points over function fields
J. Glas, Counting Rational Points over Function Fields, Institute of Science and Technology Austria, 2024.
[Published Version] View | Files available | DOI
 
2024 | Published | Journal Article | IST-REx-ID: 18173 | OA
Rational points on complete intersections of cubic and quadric hypersurfaces over Fq(t)
J. Glas, Journal of the London Mathematical Society 110 (2024).
[Published Version] View | Files available | DOI | arXiv
 
2024 | Submitted | Preprint | IST-REx-ID: 18295 | OA
Canonical singularities on moduli spaces of rational curves via the circle method
J. Glas, ArXiv (n.d.).
[Preprint] View | Files available | DOI | Download Preprint (ext.) | 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
 

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