Please note that ISTA Research Explorer no longer supports Internet Explorer versions 8 or 9 (or earlier).
We recommend upgrading to the latest Internet Explorer, Google Chrome, or Firefox.
80 Publications
2025 |
Published |
Journal Article |
IST-REx-ID: 19673 |
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
V. Wang, Journal of the Association for Mathematical Research 3 (2025) 1–26.
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 19407 |
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
F. Ballini, D. Lombardo, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2025).
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 19483 |
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
S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 20249 |
|
|
Integral points on cubic surfaces: heuristics and numerics
T.D. Browning, F.A. Wilsch, Selecta Mathematica New Series 31 (2025).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
T.D. Browning, F.A. Wilsch, Selecta Mathematica New Series 31 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 20222 |
Counting rational points on smooth hypersurfaces with high degree
M. Verzobio, International Mathematics Research Notices 2025 (2025).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
M. Verzobio, International Mathematics Research Notices 2025 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 20367 |
|
|
Pairs of commuting integer matrices
T.D. Browning, W. Sawin, V. Wang, Mathematische Annalen 393 (2025) 1863–1880.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
T.D. Browning, W. Sawin, V. Wang, Mathematische Annalen 393 (2025) 1863–1880.
2025 |
Published |
Journal Article |
IST-REx-ID: 20423 |
|
|
On the existence of magic squares of powers
N. Rome, S. Yamagishi, Research in Number Theory 11 (2025).
[Published Version]
View
| Files available
| DOI
| arXiv
N. Rome, S. Yamagishi, Research in Number Theory 11 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 20603
Sumset growth in progression-free sets
C. Elsholtz, I.Z. Ruzsa, L. Wurzinger, Acta Arithmetica 220 (2025) 289–303.
View
| DOI
| WoS
C. Elsholtz, I.Z. Ruzsa, L. Wurzinger, Acta Arithmetica 220 (2025) 289–303.
2024 |
Published |
Journal Article |
IST-REx-ID: 12312 |
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
D. Lombardo, M. Verzobio, Selecta Mathematica 30 (2024).
2024 |
Published |
Journal Article |
IST-REx-ID: 17127 |
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
V. Wang, M.W. Xu, Bulletin of the London Mathematical Society 56 (2024) 2718–2726.
2024 |
Published |
Journal Article |
IST-REx-ID: 15338 |
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
T.D. Browning, L.B. Pierce, D. Schindler, Journal of the Institute of Mathematics of Jussieu 23 (2024) 2859–2912.
2024 |
Published |
Journal Article |
IST-REx-ID: 15337 |
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
D. Bonolis, T.D. Browning, Z. Huang, Mathematische Annalen 390 (2024) 4123–4207.
2024 |
Published |
Journal Article |
IST-REx-ID: 18930 |
|
|
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
C. Elsholtz, L. Wurzinger, The Quarterly Journal of Mathematics 75 (2024) 1243–1254.
2024 |
Published |
Journal Article |
IST-REx-ID: 15312 |
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
T.D. Browning, I.E. Shparlinski, Journal of Number Theory 261 (2024) 220–240.
2024 |
Published |
Journal Article |
IST-REx-ID: 19051 |
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
T.D. Browning, International Mathematics Research Notices 2024 (2024) 10165–10168.
2024 |
Published |
Journal Article |
IST-REx-ID: 10018 |
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
U. Derenthal, F.A. Wilsch, Journal of the Institute of Mathematics of Jussieu 23 (2024) 1259–1294.
2024 |
Published |
Journal Article |
IST-REx-ID: 17447 |
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
V. Wang, Journal of the London Mathematical Society 110 (2024).
2024 |
Published |
Journal Article |
IST-REx-ID: 17323 |
Strong divisibility sequences and sieve methods
T.D. Browning, M. Verzobio, Mathematika 70 (2024).
[Published Version]
View
| Files available
| DOI
| WoS
T.D. Browning, M. Verzobio, Mathematika 70 (2024).
2024 |
Published |
Journal Article |
IST-REx-ID: 18064 |
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
S. Chan, Advances in Mathematics 457 (2024).
2024 |
Published |
Journal Article |
IST-REx-ID: 18173 |
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
J. Glas, Journal of the London Mathematical Society 110 (2024).