ISTA Research Explorer

Timothy D Browning

Browning Group

102 Publications

[102]

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

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[101]

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

[100]

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

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[99]

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

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[98]

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

[97]

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

[96]

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

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[95]

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

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[94]

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

[93]

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

[92]

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

[91]

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

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[90]

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

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[89]

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

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[88]

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

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[87]

2019 | Journal Article | IST-REx-ID: 170 |

Browning TD, Sofos E. Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. 2019;373(3-4):977-1016. doi:10.1007/s00208-018-1716-6

[Published Version] View | Files available | DOI | arXiv

[86]

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

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[85]

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

[84]

2018 | Conference Paper | IST-REx-ID: 174

Browning TD. How often does the Hasse principle hold? In: Vol 97. American Mathematical Society; 2018:89-102. doi:10.1090/pspum/097.2/01700

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[83]

2018 | Journal Article | IST-REx-ID: 176 |

Browning TD, Sofos E. Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. 2018;15(3):547-567. doi:10.1142/S1793042119500283

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[82]

2018 | Journal Article | IST-REx-ID: 178 |

Browning TD, Heath-Brown R. Counting rational points on quadric surfaces. Discrete Analysis. 2018;15:1-29. doi:10.19086/da.4375

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[81]

2017 | Journal Article | IST-REx-ID: 169 |

Browning TD, Kumaraswamy V, Steiner R. Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices. 2017. doi:10.1093/imrn/rnx116

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[80]

2017 | Journal Article | IST-REx-ID: 172 |

Browning TD, Schindler D. Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices. 2017. doi:10.1093/imrn/rnx252

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[79]

2017 | Journal Article | IST-REx-ID: 265 |

Browning TD, Vishe P. Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory. 2017;11(7):1657-1675. doi:10.2140/ant.2017.11.1657

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[78]

2017 | Journal Article | IST-REx-ID: 266 |

Browning TD, Heath Brown R. Forms in many variables and differing degrees. Journal of the European Mathematical Society. 2017;19(2):357-394. doi:10.4171/JEMS/668

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[77]

2017 | Journal Article | IST-REx-ID: 270 |

Browning TD, Gorodnik A. Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society. 2017;114(6):1044-1080. doi:10.1112/plms.12030

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[76]

2017 | Journal Article | IST-REx-ID: 268 |

Browning TD, Prendiville S. A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices. 2017;2017(7):2219-2248. doi:10.1093/imrn/rnw096

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[75]

2017 | Journal Article | IST-REx-ID: 272 |

Browning TD, Matthiesen L. Norm forms for arbitrary number fields as products of linear polynomials. Annales Scientifiques de l’Ecole Normale Superieure. 2017;50(6):1383-1446. doi:10.24033/asens.2348

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[74]

2017 | Journal Article | IST-REx-ID: 256 |

Browning TD, Prendiville S. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017;2017(731):122. doi:10.1515/crelle-2014-0122

[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv

[73]

2017 | Journal Article | IST-REx-ID: 267 |

Browning TD. Many cubic surfaces contain rational points. Mathematika. 2017;63(3):818-839. doi:10.1112/S0025579317000195

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[72]

2017 | Journal Article | IST-REx-ID: 269 |

Browning TD, Loughran D. Varieties with too many rational points. Mathematische Zeitschrift. 2017;285(3-4):1249-1267. doi:10.1007/s00209-016-1746-2

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[71]

2016 | Journal Article | IST-REx-ID: 173 |

Browning TD, Booker A. Square-free values of reducible polynomials. Discrete Analysis. 2016;8:1-18. doi:10.19086/da.732

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[70]

2016 | Journal Article | IST-REx-ID: 261

Browning TD, Vinogradov I. Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society. 2016;94(1):61-84. doi:10.1112/jlms/jdw025

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[69]

2016 | Journal Article | IST-REx-ID: 262 |

Browning TD, Newton R. The proportion of failures of the Hasse norm principle. Mathematika. 2016;62(2):337-347. doi:10.1112/S0025579315000261

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[68]

2016 | Journal Article | IST-REx-ID: 263 |

De La Bretèche R, Browning TD, Salberger P. Counting rational points on the Cayley ruled cubic. European Journal of Mathematics. 2016;2(1):55-72. doi:10.1007/s40879-015-0049-1

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[67]

2016 | Journal Article | IST-REx-ID: 264 |

Bright M, Browning TD, Loughran D. Failures of weak approximation in families. Compositio Mathematica. 2016;152(7):1435-1475. doi:10.1112/S0010437X16007405

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[66]

2015 | Journal Article | IST-REx-ID: 257 |

Browning TD, Munshi R. Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum. 2015;27(4):2025-2050. doi:10.1515/forum-2013-6024

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[65]

2015 | Book Chapter | IST-REx-ID: 258

Browning TD. A survey of applications of the circle method to rational points. In: Arithmetic and Geometry. Cambridge University Press; 2015:89-113. doi:10.1017/CBO9781316106877.009

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[64]

2015 | Journal Article | IST-REx-ID: 259

Browning TD, Vishe P. Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. 2015;25(3):671-732. doi:10.1007/s00039-015-0328-5

View | DOI

[63]

2015 | Journal Article | IST-REx-ID: 271 |

Browning TD, Prendiville S. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017(731):203-234. doi:10.1515/crelle-2014-0122

[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv

[62]

2014 | Journal Article | IST-REx-ID: 248 |

Browning TD, Matthiesen L, Skorobogatov A. Rational points on pencils of conics and quadrics with many degenerate fibres. Annals of Mathematics. 2014;180(1):381-402. doi:https://doi.org/10.4007/annals.2014.180.1.8

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[61]

2014 | Journal Article | IST-REx-ID: 249

Browning TD, Vishe P. Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal. 2014;163(10):1825-1883. doi:10.1215/00127094-2738530

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[60]

2014 | Journal Article | IST-REx-ID: 252

Browning TD, Jones M. Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica. 2014;163(3):271-298. doi:10.4064/aa163-3-6

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[59]

2014 | Journal Article | IST-REx-ID: 254

Browning TD. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2014;2015(7):1987-2019. doi:10.1093/imrn/rnt350

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[58]

2014 | Journal Article | IST-REx-ID: 255

Browning TD, Dietmann R, Heath Brown R. Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. 2014;14(4):703-749. doi:10.1017/S1474748014000127

View | Files available | DOI

[57]

2014 | Journal Article | IST-REx-ID: 6319 |

Bretèche R de la, Browning TD. Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie des Nombres de Bordeaux. 2014;26(1):25-44. doi:10.5802/jtnb.857

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[56]

2013 | Journal Article | IST-REx-ID: 245 |

Baier S, Browning TD. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. 2013;(680):69-151. doi:10.1515/crelle.2012.039

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[55]

2013 | Journal Article | IST-REx-ID: 246

Browning TD, Munshi R. Rational points on singular intersections of quadrics. Compositio Mathematica. 2013;149(9):1457-1494. doi:10.1112/S0010437X13007185

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[54]

2013 | Journal Article | IST-REx-ID: 247

Browning TD. The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. 2013;56(3):500-502. doi:10.4153/CMB-2011-177-4

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[53]

2013 | Journal Article | IST-REx-ID: 250 |

De La Bretèche R, Browning TD. Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. 2013;108(4):1030-1078. doi:10.1112/plms/pdt060

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[52]

2013 | Journal Article | IST-REx-ID: 251

De La Bretèche R, Browning TD. Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie des Nombres de Bordeaux. 2013;26(1):25-44. doi:10.5802/jtnb.857

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[51]

2013 | Journal Article | IST-REx-ID: 253

Browning TD. Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. 2013;60(1):101-107. doi:10.1112/S0025579313000132

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[50]

2012 | Journal Article | IST-REx-ID: 171 |

Browning TD, Baier S. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. 2012;2013(680):1-65. doi:https://doi.org/10.1515/crelle.2012.039

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[49]

2012 | Journal Article | IST-REx-ID: 237

De La Bretèche R, Browning TD, Peyre E. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 2012;175(1):297-343. doi:10.4007/annals.2012.175.1.8

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[48]

2012 | Journal Article | IST-REx-ID: 238

Baier S, Browning TD. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 2012;47(2):267-286. doi:10.7169/facm/2012.47.2.9

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[47]

2012 | Journal Article | IST-REx-ID: 240

Browning TD, Valckenborgh KV. Sums of three squareful numbers. Experimental Mathematics. 2012;21(2):204-211. doi:10.1080/10586458.2011.605733

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[46]

2012 | Journal Article | IST-REx-ID: 241

De La Bretèche R, Browning TD. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 2012;191(2):973-1012. doi:10.1007/s11856-012-0019-y

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[45]

2012 | Journal Article | IST-REx-ID: 242 |

Baier S, Browning TD, Marasingha G, Zhao L. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 2012;55(3):551-576. doi:10.1017/S001309151100037X

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[44]

2012 | Journal Article | IST-REx-ID: 243

Browning TD, Heath Brown R. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 2012;22(5):1124-1190. doi:10.1007/s00039-012-0168-5

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[43]

2012 | Journal Article | IST-REx-ID: 244 |

Browning TD, Haynes A. Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. 2012;9(2):481-486. doi: https://doi.org/10.1142/S1793042112501448

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[42]

2011 | Journal Article | IST-REx-ID: 233

Browning TD. Power-free values of polynomials. Archiv der Mathematik. 2011;96(2):139-150. doi:10.1007/s00013-011-0224-7

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[41]

2011 | Journal Article | IST-REx-ID: 234

Browning TD. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 2011;23(3):579-602. doi:10.5802/jtnb.778

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[40]

2011 | Journal Article | IST-REx-ID: 235

Browning TD, Elsholtz C. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 2011;55(2):685-696.

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[39]

2011 | Journal Article | IST-REx-ID: 236

De La Bretèche R, Browning TD. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 2011;160(1):1-69. doi:10.1215/00127094-1443466

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[38]

2011 | Journal Article | IST-REx-ID: 239

Browning TD, Dietmann R, Elliott P. Least zero of a cubic form. Mathematische Annalen. 2011;352(3):745-778. doi:10.1007/s00208-011-0651-6

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[37]

2010 | Journal Article | IST-REx-ID: 231

Browning TD, Colliot Thélène J. Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica. 2010;146(4):853-885. doi:10.1112/S0010437X0900459X

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[36]

2010 | Journal Article | IST-REx-ID: 232 |

De La Bretèche R, Browning TD. Le problème des diviseurs pour des formes binaires de degré 4. Journal fur die Reine und Angewandte Mathematik. 2010;(646):1-44. doi:10.1515/CRELLE.2010.064

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[35]

2010 | Journal Article | IST-REx-ID: 6320 |

Bretèche R de la, Browning TD. Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal. 2010;2010(646):1-44. doi:10.1515/crelle.2010.064

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[34]

2009 | Book Chapter | IST-REx-ID: 164 |

Browning TD, Heath Brown R. Integral points on cubic hypersurfaces. In: Analytic Number Theory: Essays in Honour of Klaus Roth. Cambridge University Press; 2009:75-90.

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[33]

2009 | Conference Paper | IST-REx-ID: 165

Browning TD. Resent progress on the quantitative arithmetic of del Pezzo surfaces. In: Aoki T, Kanemitsu S, Liu J, eds. Vol 6. World Scientific Publishing; 2009:1-18. doi:https://doi.org/10.1142/9789814289924_0001

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[32]

2009 | Book Chapter | IST-REx-ID: 168

Browning TD, Dietmann R. Solubility of Fermat equations. In: Quadratic Forms - Algebra, Arithmetic and Geometry. Vol 493. American Mathematical Society; 2009:99-106. doi:http://dx.doi.org/10.1090/conm/493

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[31]

2009 | Journal Article | IST-REx-ID: 226

Browning TD, Derenthal U. Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. 2009;59(3):1231-1265. doi:10.5802/aif.2462

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[30]

2009 | Book | IST-REx-ID: 227

Browning TD. Quantitative Arithmetic of Projective Varieties. Vol 277. Birkhäuser Basel; 2009. doi:10.1007/978-3-0346-0129-0

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[29]

2009 | Journal Article | IST-REx-ID: 228 |

Browning TD, Heath Brown R. Rational points on quartic hypersurfaces. Journal fur die Reine und Angewandte Mathematik. 2009;(629):37-88. doi:10.1515/CRELLE.2009.026

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[28]

2009 | Journal Article | IST-REx-ID: 229 |

Browning TD. Linear growth for Châtelet surfaces. Mathematische Annalen. 2009;346(1):41-50. doi:10.1007/s00208-009-0383-z

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[27]

2009 | Journal Article | IST-REx-ID: 230

Browning TD, Derenthal U. Manin’s conjecture for a cubic surface with D 5 singularity. International Mathematics Research Notices. 2009;2009(14):2620-2647. doi:10.1093/imrn/rnp029

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[26]

2008 | Journal Article | IST-REx-ID: 224

Browning TD, Dietmann R. On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. 2008;96(2):389-416. doi:10.1112/plms/pdm032

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[25]

2008 | Journal Article | IST-REx-ID: 225

De La Bretèche R, Browning TD. Binary linear forms as sums of two squares. Compositio Mathematica. 2008;144(6):1375-1402. doi:10.1112/S0010437X08003692

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[24]

2007 | Book Chapter | IST-REx-ID: 167 |

Browning TD, Heath Brown R. Simultaneous equal sums of three powers. In: Zannier U, ed. Diophantine Geometry. Vol 4. Edizioni della Normale; 2007:93-100.

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[23]

2007 | Journal Article | IST-REx-ID: 219

De La Bretèche R, Browning TD, Derenthal U. On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. 2007;40(1):1-50. doi:10.1016/j.ansens.2006.12.002

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[22]

2007 | Journal Article | IST-REx-ID: 220

Browning TD. Counting rational points on cubic hypersurfaces. Mathematika. 2007;54(1-2):93-112. doi:10.1112/S0025579300000243

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[21]

2007 | Journal Article | IST-REx-ID: 221 |

De La Bretèche R, Browning TD. On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal. 2007;55(1):51-80. doi:10.1307/mmj/1177681985

[Published Version] View | Files available | DOI | arXiv

[20]

2007 | Journal Article | IST-REx-ID: 222 |

De La Bretèche R, Browning TD. On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical Society. 2007;143(3):579-605. doi:10.1017/S0305004107000205

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[19]

2007 | Journal Article | IST-REx-ID: 223 |

Browning TD. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 2007;152(1):13-38. doi:10.1007/s00605-007-0457-5

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[18]

2007 | Book Chapter | IST-REx-ID: 6323 |

Browning TD. An overview of Manin’s conjecture for del Pezzo surfaces. In: A Tribute to Gauss and Dirichlet. Vol 7. Analytic Number Theory. American Mathematical Society; 2007:39-56.

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[17]

2007 | Preprint | IST-REx-ID: 6321 |

Browning TD. The Manin conjecture in dimension 2. arXiv.

[Preprint] View | Download Preprint (ext.) | arXiv

[16]

2006 | Journal Article | IST-REx-ID: 213

Browning TD, Heath Brown R, Starr J. The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. 2006;93(2):273-303. doi:https://doi.org/10.1112/S0024611506015784

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[15]

2006 | Journal Article | IST-REx-ID: 215

Browning TD, Heath Brown R. The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. 2006;38(3):401-410. doi:10.1112/S0024609305018412

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[14]

2006 | Journal Article | IST-REx-ID: 216

Browning TD, Heath Brown R, Salberger P. Counting rational points on algebraic varieties. Duke Mathematical Journal. 2006;132(3):545-578. doi:10.1215/S0012-7094-06-13236-2

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[13]

2006 | Journal Article | IST-REx-ID: 218

De La Bretèche R, Browning TD. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 2006;125(3):291-304. doi:10.4064/aa125-3-6

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[12]

2005 | Book | IST-REx-ID: 210

Davenport H, Browning TD. Analytic Methods for Diophantine Equations and Diophantine Inequalities. Cambridge University Press; 2005. doi:10.1017/CBO9780511542893

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[11]

2005 | Journal Article | IST-REx-ID: 211

Browning TD. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 2005;37(6):801-808. doi:10.1112/S0024609305004741

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[10]

2005 | Journal Article | IST-REx-ID: 212 |

Browning TD, Heath Brown R. Counting rational points on hypersurfaces. Journal fur die Reine und Angewandte Mathematik. 2005;(584):83-115. doi:https://doi.org/10.1515/crll.2005.2005.584.83

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[9]

2005 | Journal Article | IST-REx-ID: 214 |

Browning TD, Heath Brown R. Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. 2005;251(2):233-247. doi:10.1007/s00209-004-0719-z

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[8]

2005 | Journal Article | IST-REx-ID: 217

Browning TD. The density of rational points on a certain singular cubic surface. Journal of Number Theory. 2005;119(2):242-283. doi:10.1016/j.jnt.2005.11.007

View | DOI

[7]

2004 | Journal Article | IST-REx-ID: 209

Browning TD, Heath Brown R. Equal sums of three powers. Inventiones Mathematicae. 2004;157(3):553-573. doi:10.1007/s00222-004-0360-9

View | DOI

[6]

2003 | Journal Article | IST-REx-ID: 166 |

Browning TD, Swarbick Jones M. Counting rational points on del Pezzo surfaces of degree 5. Proceedings of the Bonn session in analytic number theory and diophantine equations. 2003;360.

View | Download None (ext.) | arXiv

[5]

2003 | Journal Article | IST-REx-ID: 205

Browning TD. Counting rational points on cubic and quartic surfaces. Acta Arithmetica. 2003;108(3):275-295. doi:10.4064/aa108-3-7

View | DOI

[4]

2003 | Journal Article | IST-REx-ID: 206

Browning TD. A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics. 2003;54(1):33-39. doi:10.1093/qjmath/54.1.33

View | DOI

[3]

2003 | Journal Article | IST-REx-ID: 207

Browning TD. Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. 2003;134(3):385-395. doi:10.1017/S0305004102006382

View | DOI

[2]

2003 | Journal Article | IST-REx-ID: 208

Browning TD. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 2003;54(1):11-31. doi:10.1093/qjmath/54.1.11

View | DOI

[1]

2002 | Journal Article | IST-REx-ID: 204

Browning TD. Equal Sums of Two kth Powers. Journal of Number Theory. 2002;96(2):293-318. doi:10.1006/jnth.2002.2800

[Published Version] View | DOI

102 Publications

Mark all

[102]

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

[101]

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

[100]

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

[99]

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

[98]

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

[97]

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

[96]

2023 | Journal Article | IST-REx-ID: 12916 |

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[95]

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

[94]

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

[93]

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

[92]

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

[91]

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

[90]

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

[89]

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

[88]

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

[87]

2019 | Journal Article | IST-REx-ID: 170 |

Browning TD, Sofos E. Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. 2019;373(3-4):977-1016. doi:10.1007/s00208-018-1716-6

[Published Version] View | Files available | DOI | arXiv

[86]

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

[85]

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

[84]

2018 | Conference Paper | IST-REx-ID: 174

Browning TD. How often does the Hasse principle hold? In: Vol 97. American Mathematical Society; 2018:89-102. doi:10.1090/pspum/097.2/01700

View | DOI

[83]

2018 | Journal Article | IST-REx-ID: 176 |

Browning TD, Sofos E. Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. 2018;15(3):547-567. doi:10.1142/S1793042119500283

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[82]

2018 | Journal Article | IST-REx-ID: 178 |

Browning TD, Heath-Brown R. Counting rational points on quadric surfaces. Discrete Analysis. 2018;15:1-29. doi:10.19086/da.4375

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[81]

2017 | Journal Article | IST-REx-ID: 169 |

Browning TD, Kumaraswamy V, Steiner R. Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices. 2017. doi:10.1093/imrn/rnx116

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[80]

2017 | Journal Article | IST-REx-ID: 172 |

Browning TD, Schindler D. Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices. 2017. doi:10.1093/imrn/rnx252

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[79]

2017 | Journal Article | IST-REx-ID: 265 |

Browning TD, Vishe P. Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory. 2017;11(7):1657-1675. doi:10.2140/ant.2017.11.1657

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[78]

2017 | Journal Article | IST-REx-ID: 266 |

Browning TD, Heath Brown R. Forms in many variables and differing degrees. Journal of the European Mathematical Society. 2017;19(2):357-394. doi:10.4171/JEMS/668

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[77]

2017 | Journal Article | IST-REx-ID: 270 |

Browning TD, Gorodnik A. Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society. 2017;114(6):1044-1080. doi:10.1112/plms.12030

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[76]

2017 | Journal Article | IST-REx-ID: 268 |

Browning TD, Prendiville S. A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices. 2017;2017(7):2219-2248. doi:10.1093/imrn/rnw096

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[75]

2017 | Journal Article | IST-REx-ID: 272 |

[Submitted Version] View | DOI | Download Submitted Version (ext.)

[74]

2017 | Journal Article | IST-REx-ID: 256 |

Browning TD, Prendiville S. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017;2017(731):122. doi:10.1515/crelle-2014-0122

[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv

[73]

2017 | Journal Article | IST-REx-ID: 267 |

Browning TD. Many cubic surfaces contain rational points. Mathematika. 2017;63(3):818-839. doi:10.1112/S0025579317000195

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[72]

2017 | Journal Article | IST-REx-ID: 269 |

Browning TD, Loughran D. Varieties with too many rational points. Mathematische Zeitschrift. 2017;285(3-4):1249-1267. doi:10.1007/s00209-016-1746-2

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[71]

2016 | Journal Article | IST-REx-ID: 173 |

Browning TD, Booker A. Square-free values of reducible polynomials. Discrete Analysis. 2016;8:1-18. doi:10.19086/da.732

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[70]

2016 | Journal Article | IST-REx-ID: 261

Browning TD, Vinogradov I. Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society. 2016;94(1):61-84. doi:10.1112/jlms/jdw025

View | DOI

[69]

2016 | Journal Article | IST-REx-ID: 262 |

Browning TD, Newton R. The proportion of failures of the Hasse norm principle. Mathematika. 2016;62(2):337-347. doi:10.1112/S0025579315000261

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[68]

2016 | Journal Article | IST-REx-ID: 263 |

De La Bretèche R, Browning TD, Salberger P. Counting rational points on the Cayley ruled cubic. European Journal of Mathematics. 2016;2(1):55-72. doi:10.1007/s40879-015-0049-1

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[67]

2016 | Journal Article | IST-REx-ID: 264 |

Bright M, Browning TD, Loughran D. Failures of weak approximation in families. Compositio Mathematica. 2016;152(7):1435-1475. doi:10.1112/S0010437X16007405

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[66]

2015 | Journal Article | IST-REx-ID: 257 |

Browning TD, Munshi R. Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum. 2015;27(4):2025-2050. doi:10.1515/forum-2013-6024

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[65]

2015 | Book Chapter | IST-REx-ID: 258

Browning TD. A survey of applications of the circle method to rational points. In: Arithmetic and Geometry. Cambridge University Press; 2015:89-113. doi:10.1017/CBO9781316106877.009

View | DOI

[64]

2015 | Journal Article | IST-REx-ID: 259

Browning TD, Vishe P. Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. 2015;25(3):671-732. doi:10.1007/s00039-015-0328-5

View | DOI

[63]

2015 | Journal Article | IST-REx-ID: 271 |

Browning TD, Prendiville S. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017(731):203-234. doi:10.1515/crelle-2014-0122

[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv

[62]

2014 | Journal Article | IST-REx-ID: 248 |

View | DOI | Download (ext.)

[61]

2014 | Journal Article | IST-REx-ID: 249

Browning TD, Vishe P. Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal. 2014;163(10):1825-1883. doi:10.1215/00127094-2738530

View | DOI

[60]

2014 | Journal Article | IST-REx-ID: 252

Browning TD, Jones M. Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica. 2014;163(3):271-298. doi:10.4064/aa163-3-6

View | DOI

[59]

2014 | Journal Article | IST-REx-ID: 254

Browning TD. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2014;2015(7):1987-2019. doi:10.1093/imrn/rnt350

View | DOI

[58]

2014 | Journal Article | IST-REx-ID: 255

View | Files available | DOI

[57]

2014 | Journal Article | IST-REx-ID: 6319 |

Bretèche R de la, Browning TD. Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie des Nombres de Bordeaux. 2014;26(1):25-44. doi:10.5802/jtnb.857

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[56]

2013 | Journal Article | IST-REx-ID: 245 |

Baier S, Browning TD. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. 2013;(680):69-151. doi:10.1515/crelle.2012.039

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[55]

2013 | Journal Article | IST-REx-ID: 246

Browning TD, Munshi R. Rational points on singular intersections of quadrics. Compositio Mathematica. 2013;149(9):1457-1494. doi:10.1112/S0010437X13007185

View | DOI

[54]

2013 | Journal Article | IST-REx-ID: 247

Browning TD. The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. 2013;56(3):500-502. doi:10.4153/CMB-2011-177-4

View | DOI

[53]

2013 | Journal Article | IST-REx-ID: 250 |

De La Bretèche R, Browning TD. Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. 2013;108(4):1030-1078. doi:10.1112/plms/pdt060

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[52]

2013 | Journal Article | IST-REx-ID: 251

De La Bretèche R, Browning TD. Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie des Nombres de Bordeaux. 2013;26(1):25-44. doi:10.5802/jtnb.857

View | DOI

[51]

2013 | Journal Article | IST-REx-ID: 253

Browning TD. Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. 2013;60(1):101-107. doi:10.1112/S0025579313000132

View | DOI

[50]

2012 | Journal Article | IST-REx-ID: 171 |

View | DOI | Download (ext.)

[49]

2012 | Journal Article | IST-REx-ID: 237

De La Bretèche R, Browning TD, Peyre E. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 2012;175(1):297-343. doi:10.4007/annals.2012.175.1.8

View | DOI

[48]

2012 | Journal Article | IST-REx-ID: 238

Baier S, Browning TD. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 2012;47(2):267-286. doi:10.7169/facm/2012.47.2.9

View | DOI

[47]

2012 | Journal Article | IST-REx-ID: 240

Browning TD, Valckenborgh KV. Sums of three squareful numbers. Experimental Mathematics. 2012;21(2):204-211. doi:10.1080/10586458.2011.605733

View | DOI

[46]

2012 | Journal Article | IST-REx-ID: 241

De La Bretèche R, Browning TD. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 2012;191(2):973-1012. doi:10.1007/s11856-012-0019-y

View | DOI

[45]

2012 | Journal Article | IST-REx-ID: 242 |

Baier S, Browning TD, Marasingha G, Zhao L. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 2012;55(3):551-576. doi:10.1017/S001309151100037X

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[44]

2012 | Journal Article | IST-REx-ID: 243

Browning TD, Heath Brown R. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 2012;22(5):1124-1190. doi:10.1007/s00039-012-0168-5

View | DOI

[43]

2012 | Journal Article | IST-REx-ID: 244 |

View | DOI | Download (ext.)

[42]

2011 | Journal Article | IST-REx-ID: 233

Browning TD. Power-free values of polynomials. Archiv der Mathematik. 2011;96(2):139-150. doi:10.1007/s00013-011-0224-7

View | DOI

[41]

2011 | Journal Article | IST-REx-ID: 234

Browning TD. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 2011;23(3):579-602. doi:10.5802/jtnb.778

View | DOI

[40]

2011 | Journal Article | IST-REx-ID: 235

Browning TD, Elsholtz C. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 2011;55(2):685-696.

View

[39]

2011 | Journal Article | IST-REx-ID: 236

De La Bretèche R, Browning TD. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 2011;160(1):1-69. doi:10.1215/00127094-1443466

View | DOI

[38]

2011 | Journal Article | IST-REx-ID: 239

Browning TD, Dietmann R, Elliott P. Least zero of a cubic form. Mathematische Annalen. 2011;352(3):745-778. doi:10.1007/s00208-011-0651-6

View | DOI

[37]

2010 | Journal Article | IST-REx-ID: 231

View | DOI

[36]

2010 | Journal Article | IST-REx-ID: 232 |

De La Bretèche R, Browning TD. Le problème des diviseurs pour des formes binaires de degré 4. Journal fur die Reine und Angewandte Mathematik. 2010;(646):1-44. doi:10.1515/CRELLE.2010.064

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[35]

2010 | Journal Article | IST-REx-ID: 6320 |

Bretèche R de la, Browning TD. Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal. 2010;2010(646):1-44. doi:10.1515/crelle.2010.064

[Preprint] View | DOI | Download Preprint (ext.) | arXiv

[34]

2009 | Book Chapter | IST-REx-ID: 164 |

Browning TD, Heath Brown R. Integral points on cubic hypersurfaces. In: Analytic Number Theory: Essays in Honour of Klaus Roth. Cambridge University Press; 2009:75-90.

[Preprint] View | Download Preprint (ext.) | arXiv

[33]

2009 | Conference Paper | IST-REx-ID: 165

View | DOI

[32]

2009 | Book Chapter | IST-REx-ID: 168

View | DOI | Download (ext.)

[31]

2009 | Journal Article | IST-REx-ID: 226

Browning TD, Derenthal U. Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. 2009;59(3):1231-1265. doi:10.5802/aif.2462

View | DOI

[30]

2009 | Book | IST-REx-ID: 227

Browning TD. Quantitative Arithmetic of Projective Varieties. Vol 277. Birkhäuser Basel; 2009. doi:10.1007/978-3-0346-0129-0

View | DOI

[29]

2009 | Journal Article | IST-REx-ID: 228 |

Browning TD, Heath Brown R. Rational points on quartic hypersurfaces. Journal fur die Reine und Angewandte Mathematik. 2009;(629):37-88. doi:10.1515/CRELLE.2009.026

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[28]

2009 | Journal Article | IST-REx-ID: 229 |

Browning TD. Linear growth for Châtelet surfaces. Mathematische Annalen. 2009;346(1):41-50. doi:10.1007/s00208-009-0383-z

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[27]

2009 | Journal Article | IST-REx-ID: 230

Browning TD, Derenthal U. Manin’s conjecture for a cubic surface with D 5 singularity. International Mathematics Research Notices. 2009;2009(14):2620-2647. doi:10.1093/imrn/rnp029

View | DOI

[26]

2008 | Journal Article | IST-REx-ID: 224

Browning TD, Dietmann R. On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. 2008;96(2):389-416. doi:10.1112/plms/pdm032

View | DOI

[25]

2008 | Journal Article | IST-REx-ID: 225

De La Bretèche R, Browning TD. Binary linear forms as sums of two squares. Compositio Mathematica. 2008;144(6):1375-1402. doi:10.1112/S0010437X08003692

View | DOI

[24]

2007 | Book Chapter | IST-REx-ID: 167 |

Browning TD, Heath Brown R. Simultaneous equal sums of three powers. In: Zannier U, ed. Diophantine Geometry. Vol 4. Edizioni della Normale; 2007:93-100.

[Preprint] View | Download Preprint (ext.) | arXiv

[23]

2007 | Journal Article | IST-REx-ID: 219

View | DOI

[22]

2007 | Journal Article | IST-REx-ID: 220

Browning TD. Counting rational points on cubic hypersurfaces. Mathematika. 2007;54(1-2):93-112. doi:10.1112/S0025579300000243

View | DOI

[21]

2007 | Journal Article | IST-REx-ID: 221 |

De La Bretèche R, Browning TD. On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal. 2007;55(1):51-80. doi:10.1307/mmj/1177681985

[Published Version] View | Files available | DOI | arXiv

[20]

2007 | Journal Article | IST-REx-ID: 222 |

View | DOI | Download (ext.)

[19]

2007 | Journal Article | IST-REx-ID: 223 |

Browning TD. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 2007;152(1):13-38. doi:10.1007/s00605-007-0457-5

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[18]

2007 | Book Chapter | IST-REx-ID: 6323 |

Browning TD. An overview of Manin’s conjecture for del Pezzo surfaces. In: A Tribute to Gauss and Dirichlet. Vol 7. Analytic Number Theory. American Mathematical Society; 2007:39-56.

[Preprint] View | Download Preprint (ext.) | arXiv

[17]

2007 | Preprint | IST-REx-ID: 6321 |

Browning TD. The Manin conjecture in dimension 2. arXiv.

[Preprint] View | Download Preprint (ext.) | arXiv

[16]

2006 | Journal Article | IST-REx-ID: 213

View | DOI

[15]

2006 | Journal Article | IST-REx-ID: 215

Browning TD, Heath Brown R. The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. 2006;38(3):401-410. doi:10.1112/S0024609305018412

View | DOI

[14]

2006 | Journal Article | IST-REx-ID: 216

Browning TD, Heath Brown R, Salberger P. Counting rational points on algebraic varieties. Duke Mathematical Journal. 2006;132(3):545-578. doi:10.1215/S0012-7094-06-13236-2

View | DOI

[13]

2006 | Journal Article | IST-REx-ID: 218

De La Bretèche R, Browning TD. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 2006;125(3):291-304. doi:10.4064/aa125-3-6

View | DOI

[12]

2005 | Book | IST-REx-ID: 210

Davenport H, Browning TD. Analytic Methods for Diophantine Equations and Diophantine Inequalities. Cambridge University Press; 2005. doi:10.1017/CBO9780511542893

View | DOI

[11]

2005 | Journal Article | IST-REx-ID: 211

Browning TD. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 2005;37(6):801-808. doi:10.1112/S0024609305004741

View | DOI

[10]

2005 | Journal Article | IST-REx-ID: 212 |

Browning TD, Heath Brown R. Counting rational points on hypersurfaces. Journal fur die Reine und Angewandte Mathematik. 2005;(584):83-115. doi:https://doi.org/10.1515/crll.2005.2005.584.83

View | DOI | Download (ext.)

[9]

2005 | Journal Article | IST-REx-ID: 214 |

Browning TD, Heath Brown R. Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. 2005;251(2):233-247. doi:10.1007/s00209-004-0719-z

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[8]

2005 | Journal Article | IST-REx-ID: 217

Browning TD. The density of rational points on a certain singular cubic surface. Journal of Number Theory. 2005;119(2):242-283. doi:10.1016/j.jnt.2005.11.007

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[7]

2004 | Journal Article | IST-REx-ID: 209

Browning TD, Heath Brown R. Equal sums of three powers. Inventiones Mathematicae. 2004;157(3):553-573. doi:10.1007/s00222-004-0360-9

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[6]

2003 | Journal Article | IST-REx-ID: 166 |

Browning TD, Swarbick Jones M. Counting rational points on del Pezzo surfaces of degree 5. Proceedings of the Bonn session in analytic number theory and diophantine equations. 2003;360.

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[5]

2003 | Journal Article | IST-REx-ID: 205

Browning TD. Counting rational points on cubic and quartic surfaces. Acta Arithmetica. 2003;108(3):275-295. doi:10.4064/aa108-3-7

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[4]

2003 | Journal Article | IST-REx-ID: 206

Browning TD. A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics. 2003;54(1):33-39. doi:10.1093/qjmath/54.1.33

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[3]

2003 | Journal Article | IST-REx-ID: 207

Browning TD. Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. 2003;134(3):385-395. doi:10.1017/S0305004102006382

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[2]

2003 | Journal Article | IST-REx-ID: 208

Browning TD. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 2003;54(1):11-31. doi:10.1093/qjmath/54.1.11

View | DOI

[1]

2002 | Journal Article | IST-REx-ID: 204

Browning TD. Equal Sums of Two kth Powers. Journal of Number Theory. 2002;96(2):293-318. doi:10.1006/jnth.2002.2800

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Timothy D Browning

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Timothy D Browning

102 Publications

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