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.
39 Publications
2024 | Journal Article | IST-REx-ID: 12312 |
Lombardo D, Verzobio M. On the local-global principle for isogenies of abelian surfaces. Selecta Mathematica. 2024;30(2). doi:10.1007/s00029-023-00908-0
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Journal Article | IST-REx-ID: 12311 |
Naskręcki B, Verzobio M. Common valuations of division polynomials. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2024. doi:10.1017/prm.2024.7
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
2024 | Journal Article | IST-REx-ID: 15337 |
Bonolis D, Browning TD, Huang Z. Density of rational points on some quadric bundle threefolds. Mathematische Annalen. 2024. doi:10.1007/s00208-024-02854-4
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
2024 | Journal Article | IST-REx-ID: 15338 |
Browning TD, Pierce LB, Schindler D. Generalised quadratic forms over totally real number fields. Journal of the Institute of Mathematics of Jussieu. 2024. doi:10.1017/S1474748024000161
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Journal Article | IST-REx-ID: 15312 |
Browning TD, Shparlinski IE. Square-free values of random polynomials. Journal of Number Theory. 2024;261:220-240. doi:10.1016/j.jnt.2024.02.013
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
2023 | Journal Article | IST-REx-ID: 13180 |
Browning TD, Lyczak J, Sarapin R. Local solubility for a family of quadrics over a split quadric surface. Involve. 2023;16(2):331-342. doi:10.2140/involve.2023.16.331
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2023 | Journal Article | IST-REx-ID: 9034 |
Wilsch FA. Integral points of bounded height on a log Fano threefold. International Mathematics Research Notices. 2023;2023(8):6780-6808. doi:10.1093/imrn/rnac048
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2023 | Journal Article | IST-REx-ID: 12427 |
Balestrieri F. Some remarks on strong approximation and applications to homogeneous spaces of linear algebraic groups. Proceedings of the American Mathematical Society. 2023;151(3):907-914. doi:10.1090/proc/15239
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
2023 | Journal Article | IST-REx-ID: 13091 |
Browning TD, Sawin W. Free rational curves on low degree hypersurfaces and the circle method. Algebra and Number Theory. 2023;17(3):719-748. doi:10.2140/ant.2023.17.719
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2023 | Journal Article | IST-REx-ID: 8682 |
Browning TD, Boudec PL, Sawin W. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 2023;197(3):1115-1203. doi:10.4007/annals.2023.197.3.3
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2023 | Journal Article | IST-REx-ID: 12916 |
Bonolis D, Browning TD. Uniform bounds for rational points on hyperelliptic fibrations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 2023;24(1):173-204. doi:10.2422/2036-2145.202010_018
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2023 | Journal Article | IST-REx-ID: 12313 |
Verzobio M. Some effectivity results for primitive divisors of elliptic divisibility sequences. Pacific Journal of Mathematics. 2023;325(2):331-351. doi:10.2140/pjm.2023.325.331
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2023 | Journal Article | IST-REx-ID: 13973 |
Lyczak J. Order 5 Brauer–Manin obstructions to the integral Hasse principle on log K3 surfaces. Annales de l’Institut Fourier. 2023;73(2):447-478. doi:10.5802/aif.3529
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2023 | Journal Article | IST-REx-ID: 14245 |
Horesh T, Nevo A. Horospherical coordinates of lattice points in hyperbolic spaces: Effective counting and equidistribution. Pacific Journal of Mathematics. 2023;324(2):265-294. doi:10.2140/pjm.2023.324.265
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2023 | Journal Article | IST-REx-ID: 14717 |
Horesh T, Karasik Y. Equidistribution of primitive lattices in ℝn. Quarterly Journal of Mathematics. 2023;74(4):1253-1294. doi:10.1093/qmath/haad008
[Published Version]
View
| Files available
| DOI
| arXiv
2022 | Thesis | IST-REx-ID: 12072 |
Shute AL. Existence and density problems in Diophantine geometry: From norm forms to Campana points. 2022. doi:10.15479/at:ista:12072
[Published Version]
View
| Files available
| DOI
2022 | Preprint | IST-REx-ID: 10788 |
Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv. doi:10.48550/arXiv.2202.10909
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2022 | Journal Article | IST-REx-ID: 9199 |
Browning TD, Horesh T, Wilsch FA. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 2022;16(10):2385-2407. doi:10.2140/ant.2022.16.2385
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2022 | Journal Article | IST-REx-ID: 9364 |
Bonolis D. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 2022;172(3):563-590. doi:10.1017/S030500412100030X
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2022 | Journal Article | IST-REx-ID: 10018 |
Derenthal U, Wilsch FA. Integral points on singular del Pezzo surfaces. Journal of the Institute of Mathematics of Jussieu. 2022. doi:10.1017/S1474748022000482
[Published Version]
View
| DOI
| Download Published Version (ext.)
| WoS
| arXiv
2022 | Journal Article | IST-REx-ID: 10765 |
Cao Y, Huang Z. Arithmetic purity of the Hardy-Littlewood property and geometric sieve for affine quadrics. Advances in Mathematics. 2022;398(3). doi:10.1016/j.aim.2022.108236
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2022 | Journal Article | IST-REx-ID: 11636 |
Kmentt P, Shute AL. The Bertini irreducibility theorem for higher codimensional slices. Finite Fields and their Applications. 2022;83(10). doi:10.1016/j.ffa.2022.102085
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2022 | Journal Article | IST-REx-ID: 12684 |
Horesh T, Paulin F. Effective equidistribution of lattice points in positive characteristic. Journal de Theorie des Nombres de Bordeaux. 2022;34(3):679-703. doi:10.5802/JTNB.1222
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2022 | Journal Article | IST-REx-ID: 12776 |
Browning TD. Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. 2022;28:1193-1229.
[Published Version]
View
| Files available
2021 | Book | IST-REx-ID: 10415
Browning TD. Cubic Forms and the Circle Method. Vol 343. Cham: Springer Nature; 2021. doi:10.1007/978-3-030-86872-7
View
| DOI
2021 | Preprint | IST-REx-ID: 12077 |
Shute AL. On the leading constant in the Manin-type conjecture for Campana points. arXiv. doi:10.48550/arXiv.2104.14946
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2021 | Preprint | IST-REx-ID: 12076 |
Shute AL. Sums of four squareful numbers. arXiv. doi:10.48550/arXiv.2104.06966
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2021 | Journal Article | IST-REx-ID: 9260 |
Browning TD, Yamagishi S. Arithmetic of higher-dimensional orbifolds and a mixed Waring problem. Mathematische Zeitschrift. 2021;299:1071–1101. doi:10.1007/s00209-021-02695-w
[Published Version]
View
| Files available
| DOI
| WoS
2021 | Journal Article | IST-REx-ID: 10711 |
Autissier P, Bonolis D, Lamzouri Y. The distribution of the maximum of partial sums of Kloosterman sums and other trace functions. Compositio Mathematica. 2021;157(7):1610-1651. doi:10.1112/s0010437x21007351
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2021 | Journal Article | IST-REx-ID: 8742 |
Browning TD, Heath-Brown R. The geometric sieve for quadrics. Forum Mathematicum. 2021;33(1):147-165. doi:10.1515/forum-2020-0074
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2021 | Journal Article | IST-REx-ID: 15279 |
Bilu M, Howe S. Motivic Euler products in motivic statistics. Algebra & Number Theory. 2021;15(9):2195-2259. doi:10.2140/ant.2021.15.2195
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2020 | Journal Article | IST-REx-ID: 177 |
Browning TD, Sawin W. A geometric version of the circle method. Annals of Mathematics. 2020;191(3):893-948. doi:10.4007/annals.2020.191.3.4
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2020 | Journal Article | IST-REx-ID: 9007 |
Browning TD, Sawin W. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 2020;95(4):635-659. doi:10.4171/CMH/499
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2020 | Journal Article | IST-REx-ID: 179 |
Browning TD, Heath Brown R. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 2020;169(16):3099-3165. doi:10.1215/00127094-2020-0031
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2019 | Journal Article | IST-REx-ID: 175 |
Browning TD, Loughran D. Sieving rational points on varieties. Transactions of the American Mathematical Society. 2019;371(8):5757-5785. doi:10.1090/tran/7514
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2019 | Journal Article | IST-REx-ID: 6310 |
Browning TD, Hu LQ. Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. 2019;349:920-940. doi:10.1016/j.aim.2019.04.031
[Submitted Version]
View
| Files available
| DOI
| WoS
| arXiv
2019 | Journal Article | IST-REx-ID: 6620 |
De La Bretèche R, Destagnol KN, Liu J, Wu J, Zhao Y. On a certain non-split cubic surface. Science China Mathematics. 2019;62(12):2435–2446. doi:10.1007/s11425-018-9543-8
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2019 | Journal Article | IST-REx-ID: 6835 |
Destagnol KN, Sofos E. Rational points and prime values of polynomials in moderately many variables. Bulletin des Sciences Mathematiques. 2019;156(11). doi:10.1016/j.bulsci.2019.102794
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2019 | Journal Article | IST-REx-ID: 10874 |
Ionica S, Kılıçer P, Lauter K, et al. Modular invariants for genus 3 hyperelliptic curves. Research in Number Theory. 2019;5. doi:10.1007/s40993-018-0146-6
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv