ISTA Research Explorer

Timothy D Browning

Browning Group

100 Publications

[100]

2024 | Journal Article | IST-REx-ID: 15337 |

Bonolis, D., Browning, T. D., & Huang, Z. (2024). Density of rational points on some quadric bundle threefolds. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-024-02854-4

[Published Version] View | DOI | Download Published Version (ext.) | arXiv

[99]

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

Browning, T. D., Lyczak, J., & Sarapin, R. (2023). Local solubility for a family of quadrics over a split quadric surface. Involve. Mathematical Sciences Publishers. https://doi.org/10.2140/involve.2023.16.331

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[98]

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

Browning, T. D., & Sawin, W. (2023). Free rational curves on low degree hypersurfaces and the circle method. Algebra and Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2023.17.719

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

[97]

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

Browning, T. D., Boudec, P. L., & Sawin, W. (2023). The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2023.197.3.3

[96]

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

Bonolis, D., & Browning, T. D. (2023). Uniform bounds for rational points on hyperelliptic fibrations. Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale. https://doi.org/10.2422/2036-2145.202010_018

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[95]

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

Browning, T. D., Horesh, T., & Wilsch, F. A. (2022). Equidistribution and freeness on Grassmannians. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2022.16.2385

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[94]

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

Browning, T. D. (2022). Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. State University of New York.

[Published Version] View | Files available

[93]

2021 | Book | IST-REx-ID: 10415

Browning, T. D. (2021). Cubic Forms and the Circle Method (Vol. 343). Cham: Springer Nature. https://doi.org/10.1007/978-3-030-86872-7

View | DOI

[92]

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

Browning, T. D., & Yamagishi, S. (2021). Arithmetic of higher-dimensional orbifolds and a mixed Waring problem. Mathematische Zeitschrift. Springer Nature. https://doi.org/10.1007/s00209-021-02695-w

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

[91]

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

Browning, T. D., & Heath-Brown, R. (2021). The geometric sieve for quadrics. Forum Mathematicum. De Gruyter. https://doi.org/10.1515/forum-2020-0074

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[90]

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

Browning, T. D., & Sawin, W. (2020). A geometric version of the circle method. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2020.191.3.4

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[89]

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

Browning, T. D., & Sawin, W. (2020). Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. European Mathematical Society. https://doi.org/10.4171/CMH/499

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[88]

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

Browning, T. D., & Heath Brown, R. (2020). Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2020-0031

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[87]

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

Browning, T. D., & Sofos, E. (2019). Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-018-1716-6

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

[86]

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

Browning, T. D., & Loughran, D. (2019). Sieving rational points on varieties. Transactions of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/7514

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[85]

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

Browning, T. D., & Hu, L. Q. (2019). Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2019.04.031

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

[84]

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

Browning, T. D. (2018). How often does the Hasse principle hold? (Vol. 97, pp. 89–102). Presented at the Algebraic Geometry, Salt Lake City, Utah, USA: American Mathematical Society. https://doi.org/10.1090/pspum/097.2/01700

View | DOI

[83]

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

Browning, T. D., & Sofos, E. (2018). Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. World Scientific Publishing. https://doi.org/10.1142/S1793042119500283

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[82]

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

Browning, T. D., & Heath-Brown, R. (2018). Counting rational points on quadric surfaces. Discrete Analysis. Alliance of Diamond Open Access Journals. https://doi.org/10.19086/da.4375

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[81]

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

Browning, T. D., Kumaraswamy, V., & Steiner, R. (2017). Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnx116

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[80]

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

Browning, T. D., & Schindler, D. (2017). Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnx252

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[79]

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

Browning, T. D., & Vishe, P. (2017). Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2017.11.1657

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[78]

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

Browning, T. D., & Heath Brown, R. (2017). Forms in many variables and differing degrees. Journal of the European Mathematical Society. European Mathematical Society Publishing House. https://doi.org/10.4171/JEMS/668

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[77]

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

Browning, T. D., & Gorodnik, A. (2017). Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.12030

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[76]

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

Browning, T. D., & Prendiville, S. (2017). A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnw096

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[75]

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

Browning, T. D., & Matthiesen, L. (2017). Norm forms for arbitrary number fields as products of linear polynomials. Annales Scientifiques de l’Ecole Normale Superieure. Societe Mathematique de France. https://doi.org/10.24033/asens.2348

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[74]

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

Browning, T. D., & Prendiville, S. (2017). Improvements in Birch’s theorem on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle-2014-0122

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

[73]

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

Browning, T. D. (2017). Many cubic surfaces contain rational points. Mathematika. Cambridge University Press. https://doi.org/10.1112/S0025579317000195

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[72]

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

Browning, T. D., & Loughran, D. (2017). Varieties with too many rational points. Mathematische Zeitschrift. Springer. https://doi.org/10.1007/s00209-016-1746-2

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[71]

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

Browning, T. D., & Booker, A. (2016). Square-free values of reducible polynomials. Discrete Analysis. https://doi.org/10.19086/da.732

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[70]

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

Browning, T. D., & Vinogradov, I. (2016). Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/jlms/jdw025

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[69]

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

Browning, T. D., & Newton, R. (2016). The proportion of failures of the Hasse norm principle. Mathematika. Cambridge University Press. https://doi.org/10.1112/S0025579315000261

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[68]

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

De La Bretèche, R., Browning, T. D., & Salberger, P. (2016). Counting rational points on the Cayley ruled cubic. European Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s40879-015-0049-1

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[67]

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

Bright, M., Browning, T. D., & Loughran, D. (2016). Failures of weak approximation in families. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X16007405

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[66]

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

Browning, T. D., & Munshi, R. (2015). Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum. Walter de Gruyter GmbH. https://doi.org/10.1515/forum-2013-6024

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[65]

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

Browning, T. D. (2015). A survey of applications of the circle method to rational points. In Arithmetic and Geometry (pp. 89–113). Cambridge University Press. https://doi.org/10.1017/CBO9781316106877.009

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[64]

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

Browning, T. D., & Vishe, P. (2015). Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. Birkhäuser. https://doi.org/10.1007/s00039-015-0328-5

View | DOI

[63]

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

Browning, T. D., & Prendiville, S. (n.d.). Improvements in Birch’s theorem on forms in many variables. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle-2014-0122

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

[62]

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

Browning, T. D., Matthiesen, L., & Skorobogatov, A. (2014). Rational points on pencils of conics and quadrics with many degenerate fibres. Annals of Mathematics. John Hopkins University Press. https://doi.org/10.4007/annals.2014.180.1.8

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[61]

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

Browning, T. D., & Vishe, P. (2014). Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2738530

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[60]

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

Browning, T. D., & Jones, M. (2014). Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa163-3-6

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[59]

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

Browning, T. D. (2014). The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnt350

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[58]

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

Browning, T. D., Dietmann, R., & Heath Brown, R. (2014). Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. Cambridge University Press. https://doi.org/10.1017/S1474748014000127

View | Files available | DOI

[57]

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

Bretèche, R. de la, & Browning, T. D. (2014). Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie Des Nombres de Bordeaux. Cellule MathDoc/CEDRAM. https://doi.org/10.5802/jtnb.857

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[56]

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

Baier, S., & Browning, T. D. (2013). Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/crelle.2012.039

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[55]

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

Browning, T. D., & Munshi, R. (2013). Rational points on singular intersections of quadrics. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X13007185

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[54]

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

Browning, T. D. (2013). The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. Unknown. https://doi.org/10.4153/CMB-2011-177-4

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[53]

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

De La Bretèche, R., & Browning, T. D. (2013). Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. Oxford University Press. https://doi.org/10.1112/plms/pdt060

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[52]

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

De La Bretèche, R., & Browning, T. D. (2013). Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux I. https://doi.org/10.5802/jtnb.857

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[51]

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

Browning, T. D. (2013). Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. Unknown. https://doi.org/10.1112/S0025579313000132

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[50]

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

Browning, T. D., & Baier, S. (2012). Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. 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, T. D., & Peyre, E. (2012). On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2012.175.1.8

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[48]

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

Baier, S., & Browning, T. D. (2012). Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University Press. https://doi.org/10.7169/facm/2012.47.2.9

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[47]

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

Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful numbers. Experimental Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2011.605733

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[46]

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

De La Bretèche, R., & Browning, T. D. (2012). Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. Springer. https://doi.org/10.1007/s11856-012-0019-y

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[45]

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

Baier, S., Browning, T. D., Marasingha, G., & Zhao, L. (2012). Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. Cambridge University Press. https://doi.org/10.1017/S001309151100037X

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[44]

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

Browning, T. D., & Heath Brown, R. (2012). Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. Springer Basel. https://doi.org/10.1007/s00039-012-0168-5

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[43]

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

Browning, T. D., & Haynes, A. (2012). Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. World Scientific Publishing. https://doi.org/ https://doi.org/10.1142/S1793042112501448

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[42]

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

Browning, T. D. (2011). Power-free values of polynomials. Archiv Der Mathematik. Birkhäuser. https://doi.org/10.1007/s00013-011-0224-7

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[41]

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

Browning, T. D. (2011). The divisor problem for binary cubic forms. Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux. https://doi.org/10.5802/jtnb.778

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[40]

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

Browning, T. D., & Elsholtz, C. (2011). The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. University of Illinois Press.

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[39]

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

De La Bretèche, R., & Browning, T. D. (2011). Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-1443466

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[38]

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

Browning, T. D., Dietmann, R., & Elliott, P. (2011). Least zero of a cubic form. Mathematische Annalen. Springer. https://doi.org/10.1007/s00208-011-0651-6

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[37]

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

Browning, T. D., & Colliot Thélène, J. (2010). Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X0900459X

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[36]

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

De La Bretèche, R., & Browning, T. D. (2010). Le problème des diviseurs pour des formes binaires de degré 4. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/CRELLE.2010.064

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[35]

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

Bretèche, R. de la, & Browning, T. D. (2010). Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal. Walter de Gruyter GmbH. https://doi.org/10.1515/crelle.2010.064

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[34]

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

Browning, T. D., & Heath Brown, R. (2009). Integral points on cubic hypersurfaces. In Analytic Number Theory: Essays in honour of Klaus Roth (pp. 75–90). Cambridge University Press.

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[33]

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

Browning, T. D. (2009). Resent progress on the quantitative arithmetic of del Pezzo surfaces. In T. Aoki, S. Kanemitsu, & J. Liu (Eds.) (Vol. 6, pp. 1–18). Presented at the Number Theory: Dreaming in dreams, World Scientific Publishing. https://doi.org/10.1142/9789814289924_0001

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[32]

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

Browning, T. D., & Dietmann, R. (2009). Solubility of Fermat equations. In Quadratic Forms - algebra, arithmetic and geometry (Vol. 493, pp. 99–106). American Mathematical Society. http://dx.doi.org/10.1090/conm/493

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[31]

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

Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. Association des Annales de l’Institut Fourier. https://doi.org/10.5802/aif.2462

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[30]

2009 | Book | IST-REx-ID: 227

Browning, T. D. (2009). Quantitative Arithmetic of Projective Varieties (Vol. 277). Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0129-0

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[29]

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

Browning, T. D., & Heath Brown, R. (2009). Rational points on quartic hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/CRELLE.2009.026

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[28]

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

Browning, T. D. (2009). Linear growth for Châtelet surfaces. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-009-0383-z

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[27]

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

Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a cubic surface with D 5 singularity. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rnp029

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[26]

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

Browning, T. D., & Dietmann, R. (2008). On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/plms/pdm032

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[25]

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

De La Bretèche, R., & Browning, T. D. (2008). Binary linear forms as sums of two squares. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X08003692

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[24]

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

Browning, T. D., & Heath Brown, R. (2007). Simultaneous equal sums of three powers. In U. Zannier (Ed.), Diophantine Geometry (Vol. 4, pp. 93–100). Edizioni della Normale.

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[23]

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

De La Bretèche, R., Browning, T. D., & Derenthal, U. (2007). On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. Societe Mathematique de France. https://doi.org/10.1016/j.ansens.2006.12.002

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[22]

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

Browning, T. D. (2007). Counting rational points on cubic hypersurfaces. Mathematika. University College London. https://doi.org/10.1112/S0025579300000243

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[21]

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

De La Bretèche, R., & Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal. Project Euclid. https://doi.org/10.1307/mmj/1177681985

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

[20]

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

De La Bretèche, R., & Browning, T. D. (2007). On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical Society. Unknown. https://doi.org/10.1017/S0305004107000205

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[19]

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

Browning, T. D. (2007). Density of integer solutions to diagonal quadratic forms. Monatshefte Fur Mathematik. Springer. https://doi.org/10.1007/s00605-007-0457-5

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[18]

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

Browning, T. D. (2007). An overview of Manin’s conjecture for del Pezzo surfaces. In A Tribute to Gauss and Dirichlet (Vol. 7, pp. 39–56). American Mathematical Society.

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[17]

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

Browning, T. D. (n.d.). The Manin conjecture in dimension 2. arXiv.

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[16]

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

Browning, T. D., Heath Brown, R., & Starr, J. (2006). The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024611506015784

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[15]

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

Browning, T. D., & Heath Brown, R. (2006). The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. Wiley-Blackwell. https://doi.org/10.1112/S0024609305018412

View | DOI

[14]

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

Browning, T. D., Heath Brown, R., & Salberger, P. (2006). Counting rational points on algebraic varieties. Duke Mathematical Journal. Unknown. https://doi.org/10.1215/S0012-7094-06-13236-2

View | DOI

[13]

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

De La Bretèche, R., & Browning, T. D. (2006). Sums of arithmetic functions over values of binary forms. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa125-3-6

View | DOI

[12]

2005 | Book | IST-REx-ID: 210

Davenport, H., & Browning, T. D. (2005). Analytic Methods for Diophantine Equations and Diophantine Inequalities. Cambridge University Press. https://doi.org/10.1017/CBO9780511542893

View | DOI

[11]

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

Browning, T. D. (2005). Equal sums of like polynomials. Bulletin of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024609305004741

View | DOI

[10]

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

Browning, T. D., & Heath Brown, R. (2005). Counting rational points on hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter and Co . https://doi.org/10.1515/crll.2005.2005.584.83

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[9]

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

Browning, T. D., & Heath Brown, R. (2005). Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. Unknown. https://doi.org/10.1007/s00209-004-0719-z

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[8]

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

Browning, T. D. (2005). The density of rational points on a certain singular cubic surface. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2005.11.007

View | DOI

[7]

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

Browning, T. D., & Heath Brown, R. (2004). Equal sums of three powers. Inventiones Mathematicae. Unknown. https://doi.org/10.1007/s00222-004-0360-9

View | DOI

[6]

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

Browning, T. D., & 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. Mathematisches Institut der Universität Bonn.

View | Download None (ext.) | arXiv

[5]

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

Browning, T. D. (2003). Counting rational points on cubic and quartic surfaces. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa108-3-7

View | DOI

[4]

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

Browning, T. D. (2003). A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics. Unknown. https://doi.org/10.1093/qjmath/54.1.33

View | DOI

[3]

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

Browning, T. D. (2003). Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press. https://doi.org/10.1017/S0305004102006382

View | DOI

[2]

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

Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qjmath/54.1.11

View | DOI

[1]

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

Browning, T. D. (2002). Equal Sums of Two kth Powers. Journal of Number Theory. Academic Press. https://doi.org/10.1006/jnth.2002.2800

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100 Publications

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[100]

2024 | Journal Article | IST-REx-ID: 15337 |

Bonolis, D., Browning, T. D., & Huang, Z. (2024). Density of rational points on some quadric bundle threefolds. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-024-02854-4

[Published Version] View | DOI | Download Published Version (ext.) | arXiv

[99]

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

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

[98]

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

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

[97]

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

Browning, T. D., Boudec, P. L., & Sawin, W. (2023). The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. Princeton University. https://doi.org/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 |

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

[94]

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

Browning, T. D. (2022). Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5. New York Journal of Mathematics. State University of New York.

[Published Version] View | Files available

[93]

2021 | Book | IST-REx-ID: 10415

Browning, T. D. (2021). Cubic Forms and the Circle Method (Vol. 343). Cham: Springer Nature. https://doi.org/10.1007/978-3-030-86872-7

View | DOI

[92]

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

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

[91]

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

Browning, T. D., & Heath-Brown, R. (2021). The geometric sieve for quadrics. Forum Mathematicum. De Gruyter. https://doi.org/10.1515/forum-2020-0074

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

[90]

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

Browning, T. D., & Sawin, W. (2020). A geometric version of the circle method. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2020.191.3.4

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

[89]

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

Browning, T. D., & Sawin, W. (2020). Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. European Mathematical Society. https://doi.org/10.4171/CMH/499

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

[88]

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

Browning, T. D., & Heath Brown, R. (2020). Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. Duke University Press. https://doi.org/10.1215/00127094-2020-0031

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

[87]

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

Browning, T. D., & Sofos, E. (2019). Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-018-1716-6

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

[86]

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

Browning, T. D., & Loughran, D. (2019). Sieving rational points on varieties. Transactions of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/7514

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

[85]

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

Browning, T. D., & Hu, L. Q. (2019). Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2019.04.031

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

[84]

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

View | DOI

[83]

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

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

[82]

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

Browning, T. D., & Heath-Brown, R. (2018). Counting rational points on quadric surfaces. Discrete Analysis. Alliance of Diamond Open Access Journals. https://doi.org/10.19086/da.4375

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

[81]

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

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

[80]

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

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

[79]

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

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

[78]

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

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

[77]

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

Browning, T. D., & Gorodnik, A. (2017). Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society. Wiley. https://doi.org/10.1112/plms.12030

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

[76]

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

[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 |

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

[73]

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

Browning, T. D. (2017). Many cubic surfaces contain rational points. Mathematika. Cambridge University Press. https://doi.org/10.1112/S0025579317000195

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

[72]

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

Browning, T. D., & Loughran, D. (2017). Varieties with too many rational points. Mathematische Zeitschrift. Springer. https://doi.org/10.1007/s00209-016-1746-2

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

[71]

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

Browning, T. D., & Booker, A. (2016). Square-free values of reducible polynomials. Discrete Analysis. https://doi.org/10.19086/da.732

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

[70]

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

View | DOI

[69]

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

Browning, T. D., & Newton, R. (2016). The proportion of failures of the Hasse norm principle. Mathematika. Cambridge University Press. https://doi.org/10.1112/S0025579315000261

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[68]

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

View | DOI | Download (ext.)

[67]

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

Bright, M., Browning, T. D., & Loughran, D. (2016). Failures of weak approximation in families. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X16007405

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[66]

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

View | DOI | Download (ext.)

[65]

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

View | DOI

[64]

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

Browning, T. D., & Vishe, P. (2015). Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. Birkhäuser. https://doi.org/10.1007/s00039-015-0328-5

View | DOI

[63]

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

[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

View | DOI

[60]

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

Browning, T. D., & Jones, M. (2014). Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa163-3-6

View | DOI

[59]

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

Browning, T. D. (2014). The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. Oxford University Press. https://doi.org/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 |

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

[56]

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

View | DOI | Download (ext.)

[55]

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

Browning, T. D., & Munshi, R. (2013). Rational points on singular intersections of quadrics. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X13007185

View | DOI

[54]

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

Browning, T. D. (2013). The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. Unknown. https://doi.org/10.4153/CMB-2011-177-4

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[53]

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

View | DOI | Download (ext.)

[52]

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

View | DOI

[51]

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

Browning, T. D. (2013). Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. Unknown. https://doi.org/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

View | DOI

[48]

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

View | DOI

[47]

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

Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful numbers. Experimental Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2011.605733

View | DOI

[46]

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

De La Bretèche, R., & Browning, T. D. (2012). Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. Springer. https://doi.org/10.1007/s11856-012-0019-y

View | DOI

[45]

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

View | DOI | Download (ext.)

[44]

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

Browning, T. D., & Heath Brown, R. (2012). Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. Springer Basel. https://doi.org/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, T. D. (2011). Power-free values of polynomials. Archiv Der Mathematik. Birkhäuser. https://doi.org/10.1007/s00013-011-0224-7

View | DOI

[41]

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

Browning, T. D. (2011). The divisor problem for binary cubic forms. Journal de Theorie Des Nombres de Bordeaux. Universite de Bordeaux. https://doi.org/10.5802/jtnb.778

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[40]

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

Browning, T. D., & Elsholtz, C. (2011). The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. University of Illinois Press.

View

[39]

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

View | DOI

[38]

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

Browning, T. D., Dietmann, R., & Elliott, P. (2011). Least zero of a cubic form. Mathematische Annalen. Springer. https://doi.org/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 |

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

[35]

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

Bretèche, R. de la, & Browning, T. D. (2010). Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal. Walter de Gruyter GmbH. https://doi.org/10.1515/crelle.2010.064

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

[34]

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

Browning, T. D., & Heath Brown, R. (2009). Integral points on cubic hypersurfaces. In Analytic Number Theory: Essays in honour of Klaus Roth (pp. 75–90). Cambridge University Press.

[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

View | DOI

[30]

2009 | Book | IST-REx-ID: 227

Browning, T. D. (2009). Quantitative Arithmetic of Projective Varieties (Vol. 277). Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0129-0

View | DOI

[29]

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

Browning, T. D., & Heath Brown, R. (2009). Rational points on quartic hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/CRELLE.2009.026

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[28]

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

Browning, T. D. (2009). Linear growth for Châtelet surfaces. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-009-0383-z

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[27]

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

View | DOI

[26]

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

View | DOI

[25]

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

De La Bretèche, R., & Browning, T. D. (2008). Binary linear forms as sums of two squares. Compositio Mathematica. Cambridge University Press. https://doi.org/10.1112/S0010437X08003692

View | DOI

[24]

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

Browning, T. D., & Heath Brown, R. (2007). Simultaneous equal sums of three powers. In U. Zannier (Ed.), Diophantine Geometry (Vol. 4, pp. 93–100). Edizioni della Normale.

[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, T. D. (2007). Counting rational points on cubic hypersurfaces. Mathematika. University College London. https://doi.org/10.1112/S0025579300000243

View | DOI

[21]

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

[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, T. D. (2007). Density of integer solutions to diagonal quadratic forms. Monatshefte Fur Mathematik. Springer. https://doi.org/10.1007/s00605-007-0457-5

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[18]

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

Browning, T. D. (2007). An overview of Manin’s conjecture for del Pezzo surfaces. In A Tribute to Gauss and Dirichlet (Vol. 7, pp. 39–56). American Mathematical Society.

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

[17]

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

Browning, T. D. (n.d.). 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

View | DOI

[14]

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

Browning, T. D., Heath Brown, R., & Salberger, P. (2006). Counting rational points on algebraic varieties. Duke Mathematical Journal. Unknown. https://doi.org/10.1215/S0012-7094-06-13236-2

View | DOI

[13]

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

De La Bretèche, R., & Browning, T. D. (2006). Sums of arithmetic functions over values of binary forms. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa125-3-6

View | DOI

[12]

2005 | Book | IST-REx-ID: 210

Davenport, H., & Browning, T. D. (2005). Analytic Methods for Diophantine Equations and Diophantine Inequalities. Cambridge University Press. https://doi.org/10.1017/CBO9780511542893

View | DOI

[11]

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

Browning, T. D. (2005). Equal sums of like polynomials. Bulletin of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024609305004741

View | DOI

[10]

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

View | DOI | Download (ext.)

[9]

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

Browning, T. D., & Heath Brown, R. (2005). Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. Unknown. https://doi.org/10.1007/s00209-004-0719-z

View | DOI | Download (ext.)

[8]

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

Browning, T. D. (2005). The density of rational points on a certain singular cubic surface. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2005.11.007

View | DOI

[7]

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

Browning, T. D., & Heath Brown, R. (2004). Equal sums of three powers. Inventiones Mathematicae. Unknown. https://doi.org/10.1007/s00222-004-0360-9

View | DOI

[6]

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

View | Download None (ext.) | arXiv

[5]

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

Browning, T. D. (2003). Counting rational points on cubic and quartic surfaces. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa108-3-7

View | DOI

[4]

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

Browning, T. D. (2003). A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics. Unknown. https://doi.org/10.1093/qjmath/54.1.33

View | DOI

[3]

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

Browning, T. D. (2003). Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press. https://doi.org/10.1017/S0305004102006382

View | DOI

[2]

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

Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qjmath/54.1.11

View | DOI

[1]

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

Browning, T. D. (2002). Equal Sums of Two kth Powers. Journal of Number Theory. Academic Press. https://doi.org/10.1006/jnth.2002.2800

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Timothy D Browning

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