Rational curves via function field analytic number theory
Project Period: 2022-12-01 – 2025-11-30
Funder:
Austrian Science Fund
Principal Investigator
Department(s)
Grant Number
P36278
Grant DOI
Funder
Austrian Science Fund
Funder Schema
FWF-StA
Funder Registry
11 Publications
2026 |
Published |
Journal Article |
IST-REx-ID: 21002 |
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The Davenport–Heilbronn method: 80 years on
T.D. Browning, Journal of the London Mathematical Society 113 (2026).
[Published Version]
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T.D. Browning, Journal of the London Mathematical Society 113 (2026).
2025 |
Published |
Journal Article |
IST-REx-ID: 20249 |
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Integral points on cubic surfaces: heuristics and numerics
T.D. Browning, F.A. Wilsch, Selecta Mathematica New Series 31 (2025).
[Published Version]
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| WoS
| arXiv
T.D. Browning, F.A. Wilsch, Selecta Mathematica New Series 31 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 20367 |
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Pairs of commuting integer matrices
T.D. Browning, W. Sawin, V. Wang, Mathematische Annalen 393 (2025) 1863–1880.
[Published Version]
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T.D. Browning, W. Sawin, V. Wang, Mathematische Annalen 393 (2025) 1863–1880.
2025 |
Published |
Journal Article |
IST-REx-ID: 19776 |
Optimal sums of three cubes in Fq[t]
T.D. Browning, J. Glas, V. Wang, Mathematische Zeitschrift 310 (2025).
[Published Version]
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| WoS
| arXiv
T.D. Browning, J. Glas, V. Wang, Mathematische Zeitschrift 310 (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 21003 |
Counting integer points on affine surfaces with a side condition
T.D. Browning, M. Verzobio, Discrete Analysis 2025 (2025).
[Published Version]
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| arXiv
T.D. Browning, M. Verzobio, Discrete Analysis 2025 (2025).
2025 |
Epub ahead of print |
Journal Article |
IST-REx-ID: 21266 |
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]
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| arXiv
T.D. Browning, S. Chan, Journal of the European Mathematical Society (2025).
2025 |
Published |
Journal Article |
IST-REx-ID: 21343 |
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Solubility of a resultant equation and applications
T.D. Browning, S. Chan, Journal de l’ecole Polytechnique Mathematiques 12 (2025) 1677–1691.
[Published Version]
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| arXiv
T.D. Browning, S. Chan, Journal de l’ecole Polytechnique Mathematiques 12 (2025) 1677–1691.
2024 |
Published |
Thesis | PhD |
IST-REx-ID: 18132 |
Counting rational points over function fields
J. Glas, Counting Rational Points over Function Fields, Institute of Science and Technology Austria, 2024.
[Published Version]
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J. Glas, Counting Rational Points over Function Fields, Institute of Science and Technology Austria, 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]
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| arXiv
J. Glas, Journal of the London Mathematical Society 110 (2024).
2024 |
Submitted |
Preprint |
IST-REx-ID: 18295 |
Canonical singularities on moduli spaces of rational curves via the circle method
J. Glas, ArXiv (n.d.).
[Preprint]
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J. Glas, ArXiv (n.d.).
2024 |
Published |
Journal Article |
IST-REx-ID: 17323 |
Strong divisibility sequences and sieve methods
T.D. Browning, M. Verzobio, Mathematika 70 (2024).
[Published Version]
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T.D. Browning, M. Verzobio, Mathematika 70 (2024).