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80 Publications
2026 |
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Journal Article |
IST-REx-ID: 21002 |
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Browning, T. D. (2026). The Davenport–Heilbronn method: 80 years on. Journal of the London Mathematical Society. Wiley. https://doi.org/10.1112/jlms.70371
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2026 |
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IST-REx-ID: 21242 |
Rome, N., & Yamagishi, S. (2026). Integral solutions to systems of diagonal equations. Pacific Journal of Mathematics. Mathematical Sciences Publishers. https://doi.org/10.2140/pjm.2026.340.179
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| arXiv
2026 |
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Journal Article |
IST-REx-ID: 21385 |
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Wang, V., & Xu, M. (2026). Average sizes of mixed character sums. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. Cambridge University Press. https://doi.org/10.1017/prm.2026.10123
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| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 12311 |
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Naskręcki, B., & Verzobio, M. (2025). Common valuations of division polynomials. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press. https://doi.org/10.1017/prm.2024.7
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| WoS
| arXiv
2025 |
Published |
Journal Article |
IST-REx-ID: 20850 |
Diao, Y. (2025). Class numbers and integer points on some Pellian surfaces. Journal de Theorie Des Nombres de Bordeaux. Université de Bordeaux. https://doi.org/10.5802/jtnb.1348
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 21003 |
Browning, T. D., & Verzobio, M. (2025). Counting integer points on affine surfaces with a side condition. Discrete Analysis. Cambridge: Alliance of Diamond Open Access Journals. https://doi.org/10.19086/da.143787
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 21244 |
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Browning, T. D., Lyczak, J., & Smeets, A. (2025). Paucity of rational points on fibrations with multiple fibres. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2025.19.2049
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 21260 |
Yao Xiao, S., & Yamagishi, S. (2025). Quartic polynomials in two variables do not represent all non-negative integers. Journal of the European Mathematical Society. EMS Press. https://doi.org/10.4171/jems/1697
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 21265 |
Wang, V., & Xu, M. W. (2025). Harper’s beyond square-root conjecture. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnaf279
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| arXiv
2025 |
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IST-REx-ID: 21266 |
Browning, T. D., & Chan, S. (2025). Almost all quadratic twists of an elliptic curve have no integral points. Journal of the European Mathematical Society. European Mathematical Society Press. https://doi.org/10.4171/jems/1704
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 21343 |
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Browning, T. D., & Chan, S. (2025). Solubility of a resultant equation and applications. Journal de l’ecole Polytechnique Mathematiques. Ecole polytechnique. https://doi.org/10.5802/jep.320
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 21768 |
Yamagishi, S. (2025). Birch’s theorem on forms in many variables with a Hessian condition. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa241029-19-8
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| arXiv
2025 |
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IST-REx-ID: 18705 |
Glas, J., & Hochfilzer, L. (2025). On a question of Davenport and diagonal cubic forms over Fq(t). Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-024-03035-z
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 18822 |
Wang, V. (2025). Diagonal cubic forms and the large sieve. Mathematika. London Mathematical Society. https://doi.org/10.1112/mtk.70008
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2025 |
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Journal Article |
IST-REx-ID: 19054 |
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Faisant, L. (2025). Motivic distribution of rational curves and twisted products of toric varieties. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2025.19.883
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| arXiv
2025 |
Submitted |
Preprint |
IST-REx-ID: 19055 |
Faisant, L. (n.d.). Motivic counting of rational curves with tangency conditions via universal torsors. arXiv. https://doi.org/10.48550/ARXIV.2502.11704
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| arXiv
2025 |
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Journal Article |
IST-REx-ID: 19363 |
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Chan, S., Koymans, P., Pagano, C., & Sofos, E. (2025). Averages of multiplicative functions along equidistributed sequences. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2025.01.005
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2025 |
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Journal Article |
IST-REx-ID: 19407 |
Ballini, F., Lombardo, D., & Verzobio, M. (2025). On the L-polynomials of curves over finite fields. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press. https://doi.org/10.1017/prm.2025.7
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2025 |
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Journal Article |
IST-REx-ID: 19483 |
Chan, S., Koymans, P., Pagano, C., & Sofos, E. (2025). 6-torision and integral points on quartic threefolds. Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale. https://doi.org/10.2422/2036-2145.202412_006
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| arXiv
2025 |
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IST-REx-ID: 19673 |
Wang, V. (2025). Prime Hasse principles via diophantine second moments. Journal of the Association for Mathematical Research. Association for Mathematical Research. https://doi.org/10.56994/JAMR.003.001.001
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