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67 Publications
2025 | Submitted | Preprint | IST-REx-ID: 19055 | 
Faisant, Loïs. “Motivic Counting of Rational Curves with Tangency Conditions via Universal Torsors.” ArXiv, 2502.11704, doi:10.48550/ARXIV.2502.11704.
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2025 | Published | Journal Article | IST-REx-ID: 18822 |
Wang, Victor. “Diagonal Cubic Forms and the Large Sieve.” Mathematika, vol. 71, no. 1, e70008, London Mathematical Society, 2025, doi:10.1112/mtk.70008.
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2025 | Published | Journal Article | IST-REx-ID: 19673 |
Wang, Victor. “Prime Hasse Principles via Diophantine Second Moments.” Journal of the Association for Mathematical Research, vol. 3, no. 1, Association for Mathematical Research, 2025, pp. 1–26, doi:10.56994/JAMR.003.001.001.
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19483 |
Chan, Stephanie, et al. “6-Torision and Integral Points on Quartic Threefolds.” Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze, 18, Scuola Normale Superiore - Edizioni della Normale, 2025, doi:10.2422/2036-2145.202412_006.
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2025 | Published | Journal Article | IST-REx-ID: 18705 |
Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal Cubic Forms over Fq(T).” Mathematische Annalen, vol. 391, Springer Nature, 2025, pp. 5485–533, doi:10.1007/s00208-024-03035-z.
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20367 |
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Browning, Timothy D., et al. “Pairs of Commuting Integer Matrices.” Mathematische Annalen, Springer Nature, 2025, doi:10.1007/s00208-025-03285-5.
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19407 |
Ballini, Francesco, et al. “On the L-Polynomials of Curves over Finite Fields.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Cambridge University Press, 2025, doi:10.1017/prm.2025.7.
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19363 |
Chan, Stephanie, et al. “Averages of Multiplicative Functions along Equidistributed Sequences.” Journal of Number Theory, vol. 273, Elsevier, 2025, pp. 1–36, doi:10.1016/j.jnt.2025.01.005.
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19727 |
Wang, Victor. “Asymptotic Growth of Translation-Dilation Orbits.” Advances in Mathematics, vol. 475, 110341, Elsevier, 2025, doi:10.1016/j.aim.2025.110341.
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2025 | Published | Journal Article | IST-REx-ID: 19776 |
Browning, Timothy D., et al. “Optimal Sums of Three Cubes in Fq[T].” Mathematische Zeitschrift, vol. 310, no. 4, 65, Springer Nature, 2025, doi:10.1007/s00209-025-03765-z.
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2025 | Epub ahead of print | Journal Article | IST-REx-ID: 20078 |
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Barańczuk, Stefan, et al. “Divisibility Sequences Related to Abelian Varieties Isogenous to a Power of an Elliptic Curve.” Journal of Number Theory, vol. 279, Elsevier, 2025, pp. 170–83, doi:10.1016/j.jnt.2025.06.001.
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2025 | Published | Journal Article | IST-REx-ID: 20222 |
Verzobio, Matteo. “Counting Rational Points on Smooth Hypersurfaces with High Degree.” International Mathematics Research Notices, vol. 2025, no. 16, rnaf249, Oxford University Press, 2025, doi:10.1093/imrn/rnaf249.
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2025 | Published | Journal Article | IST-REx-ID: 20249 |
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Browning, Timothy D., and Florian Alexander Wilsch. “Integral Points on Cubic Surfaces: Heuristics and Numerics.” Selecta Mathematica New Series, vol. 31, no. 4, 81, Springer Nature, 2025, doi:10.1007/s00029-025-01074-1.
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2024 | Published | Journal Article | IST-REx-ID: 18064 |
Chan, Stephanie. “The Average Number of Integral Points on the Congruent Number Curves.” Advances in Mathematics, vol. 457, no. 11, 109946, Elsevier, 2024, doi:10.1016/j.aim.2024.109946.
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2024 | Published | Journal Article | IST-REx-ID: 18930 |
Elsholtz, Christian, and Lena Wurzinger. “Sumsets in the Set of Squares.” The Quarterly Journal of Mathematics, vol. 75, no. 4, Oxford University Press, 2024, pp. 1243–54, doi:10.1093/qmath/haae044.
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2024 | Published | Journal Article | IST-REx-ID: 10018 |
Derenthal, Ulrich, and Florian Alexander Wilsch. “Integral Points on Singular Del Pezzo Surfaces.” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 3, Cambridge University Press, 2024, pp. 1259–94, doi:10.1017/S1474748022000482.
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2024 | Published | Thesis | IST-REx-ID: 18132 |
Glas, Jakob. Counting Rational Points over Function Fields. Institute of Science and Technology Austria, 2024, doi:10.15479/at:ista:18132.
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2024 | Published | Journal Article | IST-REx-ID: 18173 |
Glas, Jakob. “Rational Points on Complete Intersections of Cubic and Quadric Hypersurfaces over Fq(T).” Journal of the London Mathematical Society, vol. 110, no. 4, e12991, London Mathematical Society, 2024, doi:10.1112/jlms.12991.
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2024 | Submitted | Preprint | IST-REx-ID: 18295 |
Glas, Jakob. “Canonical Singularities on Moduli Spaces of Rational Curves via the Circle Method.” ArXiv, doi:10.48550/arXiv.2405.16648.
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2024 | Draft | Preprint | IST-REx-ID: 19013 |
Glas, Jakob, and Matthew Hase-Liu. “Terminal Singularities of the Moduli Space of Curves on Low Degree Hypersurfaces and the Circle Method.” ArXiv, doi:10.48550/arXiv.2412.14923.
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