ISTA Research Explorer

Timothy D Browning

Browning Group

99 Publications

[99]

2023 | Journal Article | IST-REx-ID: 13180 |

Browning TD, Lyczak J, Sarapin R. 2023. Local solubility for a family of quadrics over a split quadric surface. Involve. 16(2), 331–342.

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

[98]

2023 | Journal Article | IST-REx-ID: 13091 |

Browning TD, Sawin W. 2023. Free rational curves on low degree hypersurfaces and the circle method. Algebra and Number Theory. 17(3), 719–748.

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

[97]

2023 | Journal Article | IST-REx-ID: 8682 |

Browning TD, Boudec PL, Sawin W. 2023. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 197(3), 1115–1203.

[96]

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

Bonolis D, Browning TD. 2023. Uniform bounds for rational points on hyperelliptic fibrations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 24(1), 173–204.

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

[95]

2022 | Journal Article | IST-REx-ID: 9199 |

Browning TD, Horesh T, Wilsch FA. 2022. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 16(10), 2385–2407.

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

[94]

2022 | Journal Article | IST-REx-ID: 12776 |

Browning TD. 2022. Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. 28, 1193–1229.

[Published Version] View | Files available

[93]

2021 | Book | IST-REx-ID: 10415

Browning TD. 2021. Cubic Forms and the Circle Method, Cham: Springer Nature, XIV, 166p.

View | DOI

[92]

2021 | Journal Article | IST-REx-ID: 9260 |

Browning TD, Yamagishi S. 2021. Arithmetic of higher-dimensional orbifolds and a mixed Waring problem. Mathematische Zeitschrift. 299, 1071–1101.

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

[91]

2021 | Journal Article | IST-REx-ID: 8742 |

Browning TD, Heath-Brown R. 2021. The geometric sieve for quadrics. Forum Mathematicum. 33(1), 147–165.

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

[90]

2020 | Journal Article | IST-REx-ID: 177 |

Browning TD, Sawin W. 2020. A geometric version of the circle method. Annals of Mathematics. 191(3), 893–948.

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

[89]

2020 | Journal Article | IST-REx-ID: 9007 |

Browning TD, Sawin W. 2020. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 95(4), 635–659.

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

[88]

2020 | Journal Article | IST-REx-ID: 179 |

Browning TD, Heath Brown R. 2020. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 169(16), 3099–3165.

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

[87]

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

Browning TD, Sofos E. 2019. Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. 373(3–4), 977–1016.

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

[86]

2019 | Journal Article | IST-REx-ID: 175 |

Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions of the American Mathematical Society. 371(8), 5757–5785.

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[85]

2019 | Journal Article | IST-REx-ID: 6310 |

Browning TD, Hu LQ. 2019. Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. 349, 920–940.

[Submitted Version] View | Files available | DOI | WoS | arXiv

[84]

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

Browning TD. 2018. How often does the Hasse principle hold? Algebraic Geometry, Proceedings of Symposia in Pure Mathematics, vol. 97, 89–102.

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[83]

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

Browning TD, Sofos E. 2018. Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. 15(3), 547–567.

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[82]

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

Browning TD, Heath-Brown R. 2018. Counting rational points on quadric surfaces. Discrete Analysis. 15, 1–29.

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[81]

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

Browning TD, Kumaraswamy V, Steiner R. 2017. Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices.

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[80]

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

Browning TD, Schindler D. 2017. Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices.

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[79]

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

Browning TD, Vishe P. 2017. Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory. 11(7), 1657–1675.

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[78]

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

Browning TD, Heath Brown R. 2017. Forms in many variables and differing degrees. Journal of the European Mathematical Society. 19(2), 357–394.

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[77]

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

Browning TD, Gorodnik A. 2017. Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society. 114(6), 1044–1080.

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[76]

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

Browning TD, Prendiville S. 2017. A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices. 2017(7), 2219–2248.

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[75]

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

Browning TD, Matthiesen L. 2017. Norm forms for arbitrary number fields as products of linear polynomials. Annales Scientifiques de l’Ecole Normale Superieure. 50(6), 1383–1446.

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

[74]

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

Browning TD, Prendiville S. 2017. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017(731), 122.

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

[73]

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

Browning TD. 2017. Many cubic surfaces contain rational points. Mathematika. 63(3), 818–839.

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[72]

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

Browning TD, Loughran D. 2017. Varieties with too many rational points. Mathematische Zeitschrift. 285(3–4), 1249–1267.

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[71]

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

Browning TD, Booker A. 2016. Square-free values of reducible polynomials. Discrete Analysis. 8, 1–18.

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

[70]

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

Browning TD, Vinogradov I. 2016. Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society. 94(1), 61–84.

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[69]

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

Browning TD, Newton R. 2016. The proportion of failures of the Hasse norm principle. Mathematika. 62(2), 337–347.

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[68]

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

De La Bretèche R, Browning TD, Salberger P. 2016. Counting rational points on the Cayley ruled cubic. European Journal of Mathematics. 2(1), 55–72.

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[67]

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

Bright M, Browning TD, Loughran D. 2016. Failures of weak approximation in families. Compositio Mathematica. 152(7), 1435–1475.

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[66]

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

Browning TD, Munshi R. 2015. Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum. 27(4), 2025–2050.

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[65]

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

Browning TD. 2015.A survey of applications of the circle method to rational points. In: Arithmetic and Geometry. , 89–113.

View | DOI

[64]

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

Browning TD, Vishe P. 2015. Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. 25(3), 671–732.

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.

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

[62]

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

Browning TD, Matthiesen L, Skorobogatov A. 2014. Rational points on pencils of conics and quadrics with many degenerate fibres. Annals of Mathematics. 180(1), 381–402.

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[61]

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

Browning TD, Vishe P. 2014. Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal. 163(10), 1825–1883.

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[60]

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

Browning TD, Jones M. 2014. Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica. 163(3), 271–298.

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[59]

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

Browning TD. 2014. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2015(7), 1987–2019.

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[58]

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

Browning TD, Dietmann R, Heath Brown R. 2014. Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. 14(4), 703–749.

View | Files available | DOI

[57]

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

Bretèche R de la, Browning TD. 2014. Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie des Nombres de Bordeaux. 26(1), 25–44.

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[56]

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

Baier S, Browning TD. 2013. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. (680), 69–151.

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[55]

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

Browning TD, Munshi R. 2013. Rational points on singular intersections of quadrics. Compositio Mathematica. 149(9), 1457–1494.

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[54]

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

Browning TD. 2013. The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. 56(3), 500–502.

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[53]

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

De La Bretèche R, Browning TD. 2013. Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. 108(4), 1030–1078.

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[52]

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

De La Bretèche R, Browning TD. 2013. Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie des Nombres de Bordeaux. 26(1), 25–44.

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[51]

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

Browning TD. 2013. Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. 60(1), 101–107.

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[50]

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

Browning TD, Baier S. 2012. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. 2013(680), 1–65.

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[49]

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

De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.

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[48]

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

Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 47(2), 267–286.

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[47]

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

Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental Mathematics. 21(2), 204–211.

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[46]

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

De La Bretèche R, Browning TD. 2012. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 191(2), 973–1012.

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[45]

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

Baier S, Browning TD, Marasingha G, Zhao L. 2012. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 55(3), 551–576.

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[44]

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

Browning TD, Heath Brown R. 2012. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 22(5), 1124–1190.

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[43]

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

Browning TD, Haynes A. 2012. Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. 9(2), 481–486.

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[42]

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

Browning TD. 2011. Power-free values of polynomials. Archiv der Mathematik. 96(2), 139–150.

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[41]

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

Browning TD. 2011. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 23(3), 579–602.

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[40]

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

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

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[39]

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

De La Bretèche R, Browning TD. 2011. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 160(1), 1–69.

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[38]

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

Browning TD, Dietmann R, Elliott P. 2011. Least zero of a cubic form. Mathematische Annalen. 352(3), 745–778.

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[37]

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

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

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[36]

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

De La Bretèche R, Browning TD. 2010. Le problème des diviseurs pour des formes binaires de degré 4. Journal fur die Reine und Angewandte Mathematik. (646), 1–44.

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

[35]

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

Bretèche R de la, Browning TD. 2010. Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal. 2010(646), 1–44.

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

[34]

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

Browning TD, Heath Brown R. 2009.Integral points on cubic hypersurfaces. In: Analytic Number Theory: Essays in honour of Klaus Roth. , 75–90.

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

[33]

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

Browning TD. 2009. Resent progress on the quantitative arithmetic of del Pezzo surfaces. Number Theory: Dreaming in dreams, Series on number theory and its application, vol. 6, 1–18.

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[32]

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

Browning TD, Dietmann R. 2009.Solubility of Fermat equations. In: Quadratic Forms - algebra, arithmetic and geometry. Contemporary Mathematics, vol. 493, 99–106.

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[31]

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

Browning TD, Derenthal U. 2009. Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. 59(3), 1231–1265.

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[30]

2009 | Book | IST-REx-ID: 227

Browning TD. 2009. Quantitative Arithmetic of Projective Varieties, Birkhäuser Basel, XIII, 160p.

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[29]

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

Browning TD, Heath Brown R. 2009. Rational points on quartic hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (629), 37–88.

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[28]

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

Browning TD. 2009. Linear growth for Châtelet surfaces. Mathematische Annalen. 346(1), 41–50.

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[27]

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

Browning TD, Derenthal U. 2009. Manin’s conjecture for a cubic surface with D 5 singularity. International Mathematics Research Notices. 2009(14), 2620–2647.

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[26]

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

Browning TD, Dietmann R. 2008. On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. 96(2), 389–416.

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[25]

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

De La Bretèche R, Browning TD. 2008. Binary linear forms as sums of two squares. Compositio Mathematica. 144(6), 1375–1402.

View | DOI

[24]

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

Browning TD, Heath Brown R. 2007.Simultaneous equal sums of three powers. In: Diophantine Geometry. CRM Series, vol. 4, 93–100.

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

[23]

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

De La Bretèche R, Browning TD, Derenthal U. 2007. On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. 40(1), 1–50.

View | DOI

[22]

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

Browning TD. 2007. Counting rational points on cubic hypersurfaces. Mathematika. 54(1–2), 93–112.

View | DOI

[21]

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

De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal. 55(1), 51–80.

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

[20]

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

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

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[19]

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

Browning TD. 2007. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 152(1), 13–38.

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[18]

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

Browning TD. 2007.An overview of Manin’s conjecture for del Pezzo surfaces. In: A Tribute to Gauss and Dirichlet. Clay Mathemetics Proceedings, vol. 7, 39–56.

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

[17]

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

Browning TD. The Manin conjecture in dimension 2. arXiv, 0704.1217.

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

[16]

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

Browning TD, Heath Brown R, Starr J. 2006. The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. 93(2), 273–303.

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[15]

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

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

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[14]

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

Browning TD, Heath Brown R, Salberger P. 2006. Counting rational points on algebraic varieties. Duke Mathematical Journal. 132(3), 545–578.

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[13]

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

De La Bretèche R, Browning TD. 2006. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 125(3), 291–304.

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[12]

2005 | Book | IST-REx-ID: 210

Davenport H, Browning TD. 2005. Analytic Methods for Diophantine Equations and Diophantine Inequalities, Cambridge University Press, 140p.

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[11]

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

Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 37(6), 801–808.

View | DOI

[10]

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

Browning TD, Heath Brown R. 2005. Counting rational points on hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (584), 83–115.

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[9]

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

Browning TD, Heath Brown R. 2005. Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. 251(2), 233–247.

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[8]

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

Browning TD. 2005. The density of rational points on a certain singular cubic surface. Journal of Number Theory. 119(2), 242–283.

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[7]

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

Browning TD, Heath Brown R. 2004. Equal sums of three powers. Inventiones Mathematicae. 157(3), 553–573.

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[6]

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

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

View | Download None (ext.) | arXiv

[5]

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

Browning TD. 2003. Counting rational points on cubic and quartic surfaces. Acta Arithmetica. 108(3), 275–295.

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[4]

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

Browning TD. 2003. A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics. 54(1), 33–39.

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[3]

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

Browning TD. 2003. Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. 134(3), 385–395.

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[2]

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

Browning TD. 2003. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 54(1), 11–31.

View | DOI

[1]

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

Browning TD. 2002. Equal Sums of Two kth Powers. Journal of Number Theory. 96(2), 293–318.

[Published Version] View | DOI

99 Publications

Mark all

[99]

2023 | Journal Article | IST-REx-ID: 13180 |

Browning TD, Lyczak J, Sarapin R. 2023. Local solubility for a family of quadrics over a split quadric surface. Involve. 16(2), 331–342.

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

[98]

2023 | Journal Article | IST-REx-ID: 13091 |

Browning TD, Sawin W. 2023. Free rational curves on low degree hypersurfaces and the circle method. Algebra and Number Theory. 17(3), 719–748.

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

[97]

2023 | Journal Article | IST-REx-ID: 8682 |

Browning TD, Boudec PL, Sawin W. 2023. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 197(3), 1115–1203.

[96]

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

Bonolis D, Browning TD. 2023. Uniform bounds for rational points on hyperelliptic fibrations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 24(1), 173–204.

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

[95]

2022 | Journal Article | IST-REx-ID: 9199 |

Browning TD, Horesh T, Wilsch FA. 2022. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 16(10), 2385–2407.

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

[94]

2022 | Journal Article | IST-REx-ID: 12776 |

Browning TD. 2022. Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. 28, 1193–1229.

[Published Version] View | Files available

[93]

2021 | Book | IST-REx-ID: 10415

Browning TD. 2021. Cubic Forms and the Circle Method, Cham: Springer Nature, XIV, 166p.

View | DOI

[92]

2021 | Journal Article | IST-REx-ID: 9260 |

Browning TD, Yamagishi S. 2021. Arithmetic of higher-dimensional orbifolds and a mixed Waring problem. Mathematische Zeitschrift. 299, 1071–1101.

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

[91]

2021 | Journal Article | IST-REx-ID: 8742 |

Browning TD, Heath-Brown R. 2021. The geometric sieve for quadrics. Forum Mathematicum. 33(1), 147–165.

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

[90]

2020 | Journal Article | IST-REx-ID: 177 |

Browning TD, Sawin W. 2020. A geometric version of the circle method. Annals of Mathematics. 191(3), 893–948.

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

[89]

2020 | Journal Article | IST-REx-ID: 9007 |

Browning TD, Sawin W. 2020. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 95(4), 635–659.

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

[88]

2020 | Journal Article | IST-REx-ID: 179 |

Browning TD, Heath Brown R. 2020. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 169(16), 3099–3165.

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[87]

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

Browning TD, Sofos E. 2019. Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. 373(3–4), 977–1016.

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

[86]

2019 | Journal Article | IST-REx-ID: 175 |

Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions of the American Mathematical Society. 371(8), 5757–5785.

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[85]

2019 | Journal Article | IST-REx-ID: 6310 |

Browning TD, Hu LQ. 2019. Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. 349, 920–940.

[Submitted Version] View | Files available | DOI | WoS | arXiv

[84]

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

Browning TD. 2018. How often does the Hasse principle hold? Algebraic Geometry, Proceedings of Symposia in Pure Mathematics, vol. 97, 89–102.

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[83]

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

Browning TD, Sofos E. 2018. Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. 15(3), 547–567.

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[82]

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

Browning TD, Heath-Brown R. 2018. Counting rational points on quadric surfaces. Discrete Analysis. 15, 1–29.

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[81]

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

Browning TD, Kumaraswamy V, Steiner R. 2017. Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices.

View | DOI | Download None (ext.) | arXiv

[80]

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

Browning TD, Schindler D. 2017. Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices.

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[79]

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

Browning TD, Vishe P. 2017. Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory. 11(7), 1657–1675.

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[78]

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

Browning TD, Heath Brown R. 2017. Forms in many variables and differing degrees. Journal of the European Mathematical Society. 19(2), 357–394.

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[77]

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

Browning TD, Gorodnik A. 2017. Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society. 114(6), 1044–1080.

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[76]

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

Browning TD, Prendiville S. 2017. A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices. 2017(7), 2219–2248.

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[75]

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

Browning TD, Matthiesen L. 2017. Norm forms for arbitrary number fields as products of linear polynomials. Annales Scientifiques de l’Ecole Normale Superieure. 50(6), 1383–1446.

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[74]

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

Browning TD, Prendiville S. 2017. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017(731), 122.

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

[73]

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

Browning TD. 2017. Many cubic surfaces contain rational points. Mathematika. 63(3), 818–839.

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[72]

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

Browning TD, Loughran D. 2017. Varieties with too many rational points. Mathematische Zeitschrift. 285(3–4), 1249–1267.

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[71]

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

Browning TD, Booker A. 2016. Square-free values of reducible polynomials. Discrete Analysis. 8, 1–18.

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[70]

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

Browning TD, Vinogradov I. 2016. Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society. 94(1), 61–84.

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[69]

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

Browning TD, Newton R. 2016. The proportion of failures of the Hasse norm principle. Mathematika. 62(2), 337–347.

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[68]

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

De La Bretèche R, Browning TD, Salberger P. 2016. Counting rational points on the Cayley ruled cubic. European Journal of Mathematics. 2(1), 55–72.

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[67]

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

Bright M, Browning TD, Loughran D. 2016. Failures of weak approximation in families. Compositio Mathematica. 152(7), 1435–1475.

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[66]

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

Browning TD, Munshi R. 2015. Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum. 27(4), 2025–2050.

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[65]

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

Browning TD. 2015.A survey of applications of the circle method to rational points. In: Arithmetic and Geometry. , 89–113.

View | DOI

[64]

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

Browning TD, Vishe P. 2015. Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. 25(3), 671–732.

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[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.

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

[62]

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

Browning TD, Matthiesen L, Skorobogatov A. 2014. Rational points on pencils of conics and quadrics with many degenerate fibres. Annals of Mathematics. 180(1), 381–402.

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[61]

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

Browning TD, Vishe P. 2014. Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal. 163(10), 1825–1883.

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[60]

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

Browning TD, Jones M. 2014. Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica. 163(3), 271–298.

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[59]

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

Browning TD. 2014. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2015(7), 1987–2019.

View | DOI

[58]

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

Browning TD, Dietmann R, Heath Brown R. 2014. Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. 14(4), 703–749.

View | Files available | DOI

[57]

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

Bretèche R de la, Browning TD. 2014. Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie des Nombres de Bordeaux. 26(1), 25–44.

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[56]

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

Baier S, Browning TD. 2013. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. (680), 69–151.

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[55]

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

Browning TD, Munshi R. 2013. Rational points on singular intersections of quadrics. Compositio Mathematica. 149(9), 1457–1494.

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[54]

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

Browning TD. 2013. The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. 56(3), 500–502.

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[53]

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

De La Bretèche R, Browning TD. 2013. Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. 108(4), 1030–1078.

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[52]

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

De La Bretèche R, Browning TD. 2013. Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie des Nombres de Bordeaux. 26(1), 25–44.

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[51]

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

Browning TD. 2013. Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. 60(1), 101–107.

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[50]

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

Browning TD, Baier S. 2012. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. 2013(680), 1–65.

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[49]

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

De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.

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[48]

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

Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 47(2), 267–286.

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[47]

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

Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental Mathematics. 21(2), 204–211.

View | DOI

[46]

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

De La Bretèche R, Browning TD. 2012. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 191(2), 973–1012.

View | DOI

[45]

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

Baier S, Browning TD, Marasingha G, Zhao L. 2012. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 55(3), 551–576.

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[44]

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

Browning TD, Heath Brown R. 2012. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 22(5), 1124–1190.

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[43]

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

Browning TD, Haynes A. 2012. Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. 9(2), 481–486.

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[42]

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

Browning TD. 2011. Power-free values of polynomials. Archiv der Mathematik. 96(2), 139–150.

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[41]

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

Browning TD. 2011. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 23(3), 579–602.

View | DOI

[40]

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

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

View

[39]

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

De La Bretèche R, Browning TD. 2011. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 160(1), 1–69.

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[38]

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

Browning TD, Dietmann R, Elliott P. 2011. Least zero of a cubic form. Mathematische Annalen. 352(3), 745–778.

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[37]

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

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

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[36]

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

De La Bretèche R, Browning TD. 2010. Le problème des diviseurs pour des formes binaires de degré 4. Journal fur die Reine und Angewandte Mathematik. (646), 1–44.

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[35]

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

Bretèche R de la, Browning TD. 2010. Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal. 2010(646), 1–44.

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[34]

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

Browning TD, Heath Brown R. 2009.Integral points on cubic hypersurfaces. In: Analytic Number Theory: Essays in honour of Klaus Roth. , 75–90.

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

[33]

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

Browning TD. 2009. Resent progress on the quantitative arithmetic of del Pezzo surfaces. Number Theory: Dreaming in dreams, Series on number theory and its application, vol. 6, 1–18.

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[32]

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

Browning TD, Dietmann R. 2009.Solubility of Fermat equations. In: Quadratic Forms - algebra, arithmetic and geometry. Contemporary Mathematics, vol. 493, 99–106.

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[31]

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

Browning TD, Derenthal U. 2009. Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. 59(3), 1231–1265.

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[30]

2009 | Book | IST-REx-ID: 227

Browning TD. 2009. Quantitative Arithmetic of Projective Varieties, Birkhäuser Basel, XIII, 160p.

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[29]

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

Browning TD, Heath Brown R. 2009. Rational points on quartic hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (629), 37–88.

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[28]

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

Browning TD. 2009. Linear growth for Châtelet surfaces. Mathematische Annalen. 346(1), 41–50.

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[27]

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

Browning TD, Derenthal U. 2009. Manin’s conjecture for a cubic surface with D 5 singularity. International Mathematics Research Notices. 2009(14), 2620–2647.

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[26]

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

Browning TD, Dietmann R. 2008. On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. 96(2), 389–416.

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[25]

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

De La Bretèche R, Browning TD. 2008. Binary linear forms as sums of two squares. Compositio Mathematica. 144(6), 1375–1402.

View | DOI

[24]

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

Browning TD, Heath Brown R. 2007.Simultaneous equal sums of three powers. In: Diophantine Geometry. CRM Series, vol. 4, 93–100.

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

[23]

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

De La Bretèche R, Browning TD, Derenthal U. 2007. On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. 40(1), 1–50.

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[22]

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

Browning TD. 2007. Counting rational points on cubic hypersurfaces. Mathematika. 54(1–2), 93–112.

View | DOI

[21]

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

De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal. 55(1), 51–80.

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

[20]

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

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

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[19]

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

Browning TD. 2007. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 152(1), 13–38.

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[18]

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

Browning TD. 2007.An overview of Manin’s conjecture for del Pezzo surfaces. In: A Tribute to Gauss and Dirichlet. Clay Mathemetics Proceedings, vol. 7, 39–56.

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

[17]

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

Browning TD. The Manin conjecture in dimension 2. arXiv, 0704.1217.

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

[16]

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

Browning TD, Heath Brown R, Starr J. 2006. The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. 93(2), 273–303.

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[15]

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

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

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[14]

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

Browning TD, Heath Brown R, Salberger P. 2006. Counting rational points on algebraic varieties. Duke Mathematical Journal. 132(3), 545–578.

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[13]

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

De La Bretèche R, Browning TD. 2006. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 125(3), 291–304.

View | DOI

[12]

2005 | Book | IST-REx-ID: 210

Davenport H, Browning TD. 2005. Analytic Methods for Diophantine Equations and Diophantine Inequalities, Cambridge University Press, 140p.

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[11]

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

Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 37(6), 801–808.

View | DOI

[10]

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

Browning TD, Heath Brown R. 2005. Counting rational points on hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (584), 83–115.

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[9]

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

Browning TD, Heath Brown R. 2005. Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. 251(2), 233–247.

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[8]

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

Browning TD. 2005. The density of rational points on a certain singular cubic surface. Journal of Number Theory. 119(2), 242–283.

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[7]

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

Browning TD, Heath Brown R. 2004. Equal sums of three powers. Inventiones Mathematicae. 157(3), 553–573.

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[6]

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

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

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[5]

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

Browning TD. 2003. Counting rational points on cubic and quartic surfaces. Acta Arithmetica. 108(3), 275–295.

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[4]

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

Browning TD. 2003. A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics. 54(1), 33–39.

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[3]

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

Browning TD. 2003. Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. 134(3), 385–395.

View | DOI

[2]

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

Browning TD. 2003. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 54(1), 11–31.

View | DOI

[1]

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

Browning TD. 2002. Equal Sums of Two kth Powers. Journal of Number Theory. 96(2), 293–318.

[Published Version] View | DOI

Timothy D Browning

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