Timothy D Browning

Browning Group

104 Publications

Mark all

[104]
2024 | Published | Journal Article | IST-REx-ID: 15312 | OA
T. D. Browning and I. E. Shparlinski, “Square-free values of random polynomials,” Journal of Number Theory, vol. 261. Elsevier, pp. 220–240, 2024.
[Published Version] View | Files available | DOI | arXiv
 
[103]
2024 | Published | Journal Article | IST-REx-ID: 19051 | OA
T. D. Browning, “The polynomial sieve and equal sums of like polynomials,” International Mathematics Research Notices, vol. 2024, no. 13. Oxford University Press, pp. 10165–10168, 2024.
[Published Version] View | Files available | DOI
 
[102]
2024 | Published | Journal Article | IST-REx-ID: 15338 | OA
T. D. Browning, L. B. Pierce, and D. Schindler, “Generalised quadratic forms over totally real number fields,” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 6. Cambridge University Press, pp. 2859–2912, 2024.
[Published Version] View | Files available | DOI | arXiv
 
[101]
2024 | Published | Journal Article | IST-REx-ID: 15337 | OA
D. Bonolis, T. D. Browning, and Z. Huang, “Density of rational points on some quadric bundle threefolds,” Mathematische Annalen, vol. 390. Springer Nature, pp. 4123–4207, 2024.
[Published Version] View | Files available | DOI | arXiv
 
[100]
2024 | Published | Journal Article | IST-REx-ID: 17323 | OA
T. D. Browning and M. Verzobio, “Strong divisibility sequences and sieve methods,” Mathematika, vol. 70, no. 4. London Mathematical Society, 2024.
[Published Version] View | Files available | DOI
 
[99]
2023 | Published | Journal Article | IST-REx-ID: 13180 | OA
T. D. Browning, J. Lyczak, and R. Sarapin, “Local solubility for a family of quadrics over a split quadric surface,” Involve, vol. 16, no. 2. Mathematical Sciences Publishers, pp. 331–342, 2023.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[98]
2023 | Published | Journal Article | IST-REx-ID: 12916 | OA
D. Bonolis and T. D. Browning, “Uniform bounds for rational points on hyperelliptic fibrations,” Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 24, no. 1. Scuola Normale Superiore - Edizioni della Normale, pp. 173–204, 2023.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[97]
2023 | Published | Journal Article | IST-REx-ID: 8682 | OA
T. D. Browning, P. L. Boudec, and W. Sawin, “The Hasse principle for random Fano hypersurfaces,” Annals of Mathematics, vol. 197, no. 3. Princeton University, pp. 1115–1203, 2023.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[96]
2023 | Published | Journal Article | IST-REx-ID: 13091 | OA
T. D. Browning and W. Sawin, “Free rational curves on low degree hypersurfaces and the circle method,” Algebra and Number Theory, vol. 17, no. 3. Mathematical Sciences Publishers, pp. 719–748, 2023.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[95]
2022 | Published | Journal Article | IST-REx-ID: 12776 | OA
T. D. Browning, “Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5,” New York Journal of Mathematics, vol. 28. State University of New York, pp. 1193–1229, 2022.
[Published Version] View | Files available
 
[94]
2022 | Published | Journal Article | IST-REx-ID: 9199 | OA
T. D. Browning, T. Horesh, and F. A. Wilsch, “Equidistribution and freeness on Grassmannians,” Algebra & Number Theory, vol. 16, no. 10. Mathematical Sciences Publishers, pp. 2385–2407, 2022.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[93]
2021 | Published | Book | IST-REx-ID: 10415
T. D. Browning, Cubic Forms and the Circle Method, vol. 343. Cham: Springer Nature, 2021.
View | DOI
 
[92]
2021 | Published | Journal Article | IST-REx-ID: 9260 | OA
T. D. Browning and S. Yamagishi, “Arithmetic of higher-dimensional orbifolds and a mixed Waring problem,” Mathematische Zeitschrift, vol. 299. Springer Nature, pp. 1071–1101, 2021.
[Published Version] View | Files available | DOI | WoS
 
[91]
2021 | Published | Journal Article | IST-REx-ID: 8742 | OA
T. D. Browning and R. Heath-Brown, “The geometric sieve for quadrics,” Forum Mathematicum, vol. 33, no. 1. De Gruyter, pp. 147–165, 2021.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[90]
2020 | Published | Journal Article | IST-REx-ID: 177 | OA
T. D. Browning and W. Sawin, “A geometric version of the circle method,” Annals of Mathematics, vol. 191, no. 3. Princeton University, pp. 893–948, 2020.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[89]
2020 | Published | Journal Article | IST-REx-ID: 179 | OA
T. D. Browning and R. Heath Brown, “Density of rational points on a quadric bundle in ℙ3×ℙ3,” Duke Mathematical Journal, vol. 169, no. 16. Duke University Press, pp. 3099–3165, 2020.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[88]
2020 | Published | Journal Article | IST-REx-ID: 9007 | OA
Browning, Timothy D, Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici 95 (4). 2020
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[87]
2019 | Published | Journal Article | IST-REx-ID: 170 | OA
T. D. Browning and E. Sofos, “Counting rational points on quartic del Pezzo surfaces with a rational conic,” Mathematische Annalen, vol. 373, no. 3–4. Springer Nature, pp. 977–1016, 2019.
[Published Version] View | Files available | DOI | arXiv
 
[86]
2019 | Published | Journal Article | IST-REx-ID: 175 | OA
Browning, Timothy D, Sieving rational points on varieties. Transactions of the American Mathematical Society 371 (8). 2019
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[85]
2019 | Published | Journal Article | IST-REx-ID: 6310 | OA
Browning, Timothy D, Counting rational points on biquadratic hypersurfaces. Advances in Mathematics 349. 2019
[Submitted Version] View | Files available | DOI | WoS | arXiv
 
[84]
2018 | Published | Conference Paper | IST-REx-ID: 174
T. D. Browning, “How often does the Hasse principle hold?,” presented at the Algebraic Geometry, Salt Lake City, Utah, USA, 2018, vol. 97, no. 2, pp. 89–102.
View | DOI
 
[83]
2018 | Published | Journal Article | IST-REx-ID: 176 | OA
T. D. Browning and E. Sofos, “Averages of arithmetic functions over principal ideals,” International Journal of Nuber Theory, vol. 15, no. 3. World Scientific Publishing, pp. 547–567, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[82]
2018 | Published | Journal Article | IST-REx-ID: 178 | OA
T. D. Browning and R. Heath-Brown, “Counting rational points on quadric surfaces,” Discrete Analysis, vol. 15. Alliance of Diamond Open Access Journals, pp. 1–29, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[81]
2017 | Published | Journal Article | IST-REx-ID: 169 | OA
T. D. Browning, V. Kumaraswamy, and R. Steiner, “Twisted Linnik implies optimal covering exponent for S3,” International Mathematics Research Notices. Oxford University Press, 2017.
View | DOI | Download None (ext.) | arXiv
 
[80]
2017 | Published | Journal Article | IST-REx-ID: 172 | OA
T. D. Browning and D. Schindler, “Strong approximation and a conjecture of Harpaz and Wittenberg,” International Mathematics Research Notices. Oxford University Press, 2017.
View | DOI | Download None (ext.) | arXiv
 
[79]
2017 | Published | Journal Article | IST-REx-ID: 256 | OA
T. D. Browning and S. Prendiville, “Improvements in Birch’s theorem on forms in many variables,” Journal fur die Reine und Angewandte Mathematik, vol. 2017, no. 731. Walter de Gruyter, p. 122, 2017.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[78]
2017 | Published | Journal Article | IST-REx-ID: 265 | OA
T. D. Browning and P. Vishe, “Rational curves on smooth hypersurfaces of low degree,” Geometric Methods in Algebra and Number Theory, vol. 11, no. 7. Mathematical Sciences Publishers, pp. 1657–1675, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[77]
2017 | Published | Journal Article | IST-REx-ID: 266 | OA
T. D. Browning and R. Heath Brown, “Forms in many variables and differing degrees,” Journal of the European Mathematical Society, vol. 19, no. 2. European Mathematical Society Publishing House, pp. 357–394, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[76]
2017 | Published | Journal Article | IST-REx-ID: 267 | OA
T. D. Browning, “Many cubic surfaces contain rational points,” Mathematika, vol. 63, no. 3. Cambridge University Press, pp. 818–839, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[75]
2017 | Published | Journal Article | IST-REx-ID: 268 | OA
T. D. Browning and S. Prendiville, “A transference approach to a Roth-type theorem in the squares,” International Mathematics Research Notices, vol. 2017, no. 7. Oxford University Press, pp. 2219–2248, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[74]
2017 | Published | Journal Article | IST-REx-ID: 269 | OA
T. D. Browning and D. Loughran, “Varieties with too many rational points,” Mathematische Zeitschrift, vol. 285, no. 3–4. Springer, pp. 1249–1267, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[73]
2017 | Published | Journal Article | IST-REx-ID: 270 | OA
T. D. Browning and A. Gorodnik, “Power-free values of polynomials on symmetric varieties,” Proceedings of the London Mathematical Society, vol. 114, no. 6. Wiley, pp. 1044–1080, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[72]
2017 | Published | Journal Article | IST-REx-ID: 272 | OA
T. D. Browning and L. Matthiesen, “Norm forms for arbitrary number fields as products of linear polynomials,” Annales Scientifiques de l’Ecole Normale Superieure, vol. 50, no. 6. Societe Mathematique de France, pp. 1383–1446, 2017.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[71]
2016 | Published | Journal Article | IST-REx-ID: 173 | OA
T. D. Browning and A. Booker, “Square-free values of reducible polynomials,” Discrete Analysis, vol. 8. pp. 1–18, 2016.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[70]
2016 | Published | Journal Article | IST-REx-ID: 261
T. D. Browning and I. Vinogradov, “Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1,” Journal of the London Mathematical Society, vol. 94, no. 1. John Wiley and Sons Ltd, pp. 61–84, 2016.
View | DOI
 
[69]
2016 | Published | Journal Article | IST-REx-ID: 262 | OA
T. D. Browning and R. Newton, “The proportion of failures of the Hasse norm principle,” Mathematika, vol. 62, no. 2. Cambridge University Press, pp. 337–347, 2016.
View | DOI | Download (ext.)
 
[68]
2016 | Published | Journal Article | IST-REx-ID: 263 | OA
R. De La Bretèche, T. D. Browning, and P. Salberger, “Counting rational points on the Cayley ruled cubic,” European Journal of Mathematics, vol. 2, no. 1. Springer Nature, pp. 55–72, 2016.
View | DOI | Download (ext.)
 
[67]
2016 | Published | Journal Article | IST-REx-ID: 264 | OA
M. Bright, T. D. Browning, and D. Loughran, “Failures of weak approximation in families,” Compositio Mathematica, vol. 152, no. 7. Cambridge University Press, pp. 1435–1475, 2016.
View | DOI | Download (ext.)
 
[66]
2015 | Published | Journal Article | IST-REx-ID: 257 | OA
T. D. Browning and R. Munshi, “Pairs of diagonal quadratic forms and linear correlations among sums of two squares,” Forum Mathematicum, vol. 27, no. 4. Walter de Gruyter GmbH, pp. 2025–2050, 2015.
View | DOI | Download (ext.)
 
[65]
2015 | Published | Book Chapter | IST-REx-ID: 258
T. D. Browning, “A survey of applications of the circle method to rational points,” in Arithmetic and Geometry, Cambridge University Press, 2015, pp. 89–113.
View | DOI
 
[64]
2015 | Published | Journal Article | IST-REx-ID: 259
T. D. Browning and P. Vishe, “Rational points on cubic hypersurfaces over F_q(t) ,” Geometric and Functional Analysis, vol. 25, no. 3. Birkhäuser, pp. 671–732, 2015.
View | DOI
 
[63]
2015 | Submitted | Journal Article | IST-REx-ID: 271 | OA
T. D. Browning and S. Prendiville, “Improvements in Birch’s theorem on forms in many variables,” Journal fur die Reine und Angewandte Mathematik, vol. 2017, no. 731. Walter de Gruyter, pp. 203–234.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[62]
2014 | Published | Journal Article | IST-REx-ID: 248 | OA
T. D. Browning, L. Matthiesen, and A. Skorobogatov, “Rational points on pencils of conics and quadrics with many degenerate fibres,” Annals of Mathematics, vol. 180, no. 1. John Hopkins University Press, pp. 381–402, 2014.
View | DOI | Download (ext.)
 
[61]
2014 | Published | Journal Article | IST-REx-ID: 249
T. D. Browning and P. Vishe, “Cubic hypersurfaces and a version of the circle method for number fields,” Duke Mathematical Journal, vol. 163, no. 10. Duke University Press, pp. 1825–1883, 2014.
View | DOI
 
[60]
2014 | Published | Journal Article | IST-REx-ID: 252
T. D. Browning and M. Jones, “Counting rational points on del Pezzo surfaces with a conic bundle structure,” Acta Arithmetica, vol. 163, no. 3. Instytut Matematyczny, pp. 271–298, 2014.
View | DOI
 
[59]
2014 | Published | Journal Article | IST-REx-ID: 255
T. D. Browning, R. Dietmann, and R. Heath Brown, “Rational points on intersections of cubic and quadric hypersurfaces,” Journal of the Institute of Mathematics of Jussieu, vol. 14, no. 4. Cambridge University Press, pp. 703–749, 2014.
View | Files available | DOI
 
[58]
2014 | Published | Journal Article | IST-REx-ID: 6319 | OA
R. de la Bretèche and T. D. Browning, “Contre-exemples au principe de Hasse pour certains tores coflasques,” Journal de Théorie des Nombres de Bordeaux, vol. 26, no. 1. Cellule MathDoc/CEDRAM, pp. 25–44, 2014.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[57]
2014 | Published | Journal Article | IST-REx-ID: 254
T. D. Browning, “The polynomial sieve and equal sums of like polynomials,” International Mathematics Research Notices, vol. 2015, no. 7. Oxford University Press, pp. 1987–2019, 2014.
View | Files available | DOI
 
[56]
2013 | Published | Journal Article | IST-REx-ID: 245 | OA
S. Baier and T. D. Browning, “Inhomogeneous cubic congruences and rational points on del Pezzo surfaces,” Journal fur die Reine und Angewandte Mathematik, no. 680. Walter de Gruyter, pp. 69–151, 2013.
View | DOI | Download (ext.)
 
[55]
2013 | Published | Journal Article | IST-REx-ID: 246
T. D. Browning and R. Munshi, “Rational points on singular intersections of quadrics,” Compositio Mathematica, vol. 149, no. 9. Cambridge University Press, pp. 1457–1494, 2013.
View | DOI
 
[54]
2013 | Published | Journal Article | IST-REx-ID: 247
T. D. Browning, “The Lang-Weil estimate for cubic hypersurfaces,” Canadian Mathematical Bulletin, vol. 56, no. 3. Unknown, pp. 500–502, 2013.
View | DOI
 
[53]
2013 | Published | Journal Article | IST-REx-ID: 250 | OA
R. De La Bretèche and T. D. Browning, “Density of Châtelet surfaces failing the Hasse principle,” Proceedings of the London Mathematical Society, vol. 108, no. 4. Oxford University Press, pp. 1030–1078, 2013.
View | DOI | Download (ext.)
 
[52]
2013 | Published | Journal Article | IST-REx-ID: 251
R. De La Bretèche and T. D. Browning, “Counter examples to the Hasse principle among certain coflasque tori,” Journal de Theorie des Nombres de Bordeaux, vol. 26, no. 1. Universite de Bordeaux I, pp. 25–44, 2013.
View | DOI
 
[51]
2013 | Published | Journal Article | IST-REx-ID: 253
T. D. Browning, “Counting rational points on cubic hypersurfaces: Corrigendum,” Mathematika, vol. 60, no. 1. Unknown, pp. 101–107, 2013.
View | DOI
 
[50]
2012 | Published | Journal Article | IST-REx-ID: 171 | OA
T. D. Browning and S. Baier, “Inhomogeneous cubic congruences and rational points on del Pezzo surfaces,” Journal fur die Reine und Angewandte Mathematik, vol. 2013, no. 680. Walter de Gruyter, pp. 1–65, 2012.
View | DOI | Download (ext.)
 
[49]
2012 | Published | Journal Article | IST-REx-ID: 237
R. De La Bretèche, T. D. Browning, and E. Peyre, “On Manin’s conjecture for a family of Châtelet surfaces,” Annals of Mathematics, vol. 175, no. 1. Princeton University Press, pp. 297–343, 2012.
View | DOI
 
[48]
2012 | Published | Journal Article | IST-REx-ID: 238
S. Baier and T. D. Browning, “Inhomogeneous quadratic congruences,” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2. Adam Mickiewicz University Press, pp. 267–286, 2012.
View | DOI
 
[47]
2012 | Published | Journal Article | IST-REx-ID: 240
T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,” Experimental Mathematics, vol. 21, no. 2. Taylor & Francis, pp. 204–211, 2012.
View | DOI
 
[46]
2012 | Published | Journal Article | IST-REx-ID: 241
R. De La Bretèche and T. D. Browning, “Binary forms as sums of two squares and Châtelet surfaces,” Israel Journal of Mathematics, vol. 191, no. 2. Springer, pp. 973–1012, 2012.
View | DOI
 
[45]
2012 | Published | Journal Article | IST-REx-ID: 242 | OA
S. Baier, T. D. Browning, G. Marasingha, and L. Zhao, “Averages of shifted convolutions of d3 (n),” Proceedings of the Edinburgh Mathematical Society, vol. 55, no. 3. Cambridge University Press, pp. 551–576, 2012.
View | DOI | Download (ext.)
 
[44]
2012 | Published | Journal Article | IST-REx-ID: 243
T. D. Browning and R. Heath Brown, “Quadratic polynomials represented by norm forms,” Geometric and Functional Analysis, vol. 22, no. 5. Springer Basel, pp. 1124–1190, 2012.
View | DOI
 
[43]
2012 | Published | Journal Article | IST-REx-ID: 244 | OA
T. D. Browning and A. Haynes, “Incomplete kloosterman sums and multiplicative inverses in short intervals,” International Journal of Number Theory, vol. 9, no. 2. World Scientific Publishing, pp. 481–486, 2012.
View | DOI | Download (ext.)
 
[42]
2011 | Published | Journal Article | IST-REx-ID: 233
T. D. Browning, “Power-free values of polynomials,” Archiv der Mathematik, vol. 96, no. 2. Birkhäuser, pp. 139–150, 2011.
View | DOI
 
[41]
2011 | Published | Journal Article | IST-REx-ID: 234
T. D. Browning, “The divisor problem for binary cubic forms,” Journal de Theorie des Nombres de Bordeaux, vol. 23, no. 3. Universite de Bordeaux, pp. 579–602, 2011.
View | DOI
 
[40]
2011 | Published | Journal Article | IST-REx-ID: 235
T. D. Browning and C. Elsholtz, “The number of representations of rationals as a sum of unit fractions,” Illinois Journal of Mathematics, vol. 55, no. 2. University of Illinois Press, pp. 685–696, 2011.
View
 
[39]
2011 | Published | Journal Article | IST-REx-ID: 236
R. De La Bretèche and T. D. Browning, “Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration,” Duke Mathematical Journal, vol. 160, no. 1. Duke University Press, pp. 1–69, 2011.
View | DOI
 
[38]
2011 | Published | Journal Article | IST-REx-ID: 239
T. D. Browning, R. Dietmann, and P. Elliott, “Least zero of a cubic form,” Mathematische Annalen, vol. 352, no. 3. Springer, pp. 745–778, 2011.
View | DOI
 
[37]
2010 | Published | Journal Article | IST-REx-ID: 231
T. D. Browning and J. Colliot Thélène, “Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène,” Compositio Mathematica, vol. 146, no. 4. Cambridge University Press, pp. 853–885, 2010.
View | DOI
 
[36]
2010 | Published | Journal Article | IST-REx-ID: 232 | OA
R. De La Bretèche and T. D. Browning, “Le problème des diviseurs pour des formes binaires de degré 4,” Journal fur die Reine und Angewandte Mathematik, no. 646. Walter de Gruyter, pp. 1–44, 2010.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2010 | Published | Journal Article | IST-REx-ID: 6320 | OA
R. de la Bretèche and T. D. Browning, “Le problème des diviseurs pour des formes binaires de degré 4,” Crelles Journal, vol. 2010, no. 646. Walter de Gruyter GmbH, pp. 1–44, 2010.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2009 | Published | Book Chapter | IST-REx-ID: 164 | OA
T. D. Browning and R. Heath Brown, “Integral points on cubic hypersurfaces,” in Analytic Number Theory: Essays in honour of Klaus Roth, Cambridge University Press, 2009, pp. 75–90.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[33]
2009 | Published | Conference Paper | IST-REx-ID: 165
T. D. Browning, “Resent progress on the quantitative arithmetic of del Pezzo surfaces,” presented at the Number Theory: Dreaming in dreams, 2009, vol. 6, pp. 1–18.
View | DOI
 
[32]
2009 | Published | Book Chapter | IST-REx-ID: 168
T. D. Browning and R. Dietmann, “Solubility of Fermat equations,” in Quadratic Forms - algebra, arithmetic and geometry, vol. 493, American Mathematical Society, 2009, pp. 99–106.
View | DOI | Download (ext.)
 
[31]
2009 | Published | Journal Article | IST-REx-ID: 226
T. D. Browning and U. Derenthal, “Manin’s conjecture for a quartic del Pezzo surface with A4 singularity,” Annales de l’Institut Fourier, vol. 59, no. 3. Association des Annales de l’Institut Fourier, pp. 1231–1265, 2009.
View | DOI
 
[30]
2009 | Published | Book | IST-REx-ID: 227
T. D. Browning, Quantitative Arithmetic of Projective Varieties, vol. 277. Birkhäuser Basel, 2009.
View | DOI
 
[29]
2009 | Published | Journal Article | IST-REx-ID: 228 | OA
T. D. Browning and R. Heath Brown, “Rational points on quartic hypersurfaces,” Journal fur die Reine und Angewandte Mathematik, no. 629. Walter de Gruyter, pp. 37–88, 2009.
View | DOI | Download (ext.)
 
[28]
2009 | Published | Journal Article | IST-REx-ID: 229 | OA
T. D. Browning, “Linear growth for Châtelet surfaces,” Mathematische Annalen, vol. 346, no. 1. Springer Nature, pp. 41–50, 2009.
View | DOI | Download (ext.)
 
[27]
2009 | Published | Journal Article | IST-REx-ID: 230
T. D. Browning and U. Derenthal, “Manin’s conjecture for a cubic surface with  D 5 singularity,” International Mathematics Research Notices, vol. 2009, no. 14. Oxford University Press, pp. 2620–2647, 2009.
View | DOI
 
[26]
2008 | Published | Journal Article | IST-REx-ID: 225
R. De La Bretèche and T. D. Browning, “Binary linear forms as sums of two squares,” Compositio Mathematica, vol. 144, no. 6. Cambridge University Press, pp. 1375–1402, 2008.
View | DOI
 
[25]
2008 | Published | Journal Article | IST-REx-ID: 224
T. D. Browning and R. Dietmann, “On the representation of integers by quadratic forms,” Proceedings of the London Mathematical Society, vol. 96, no. 2. John Wiley and Sons Ltd, pp. 389–416, 2008.
View | DOI
 
[24]
2007 | Published | Book Chapter | IST-REx-ID: 167 | OA
T. D. Browning and R. Heath Brown, “Simultaneous equal sums of three powers,” in Diophantine Geometry, vol. 4, U. Zannier, Ed. Edizioni della Normale, 2007, pp. 93–100.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[23]
2007 | Published | Journal Article | IST-REx-ID: 219
R. De La Bretèche, T. D. Browning, and U. Derenthal, “On Manin’s conjecture for a certain singular cubic surface,” Annales Scientifiques de l’Ecole Normale Superieure, vol. 40, no. 1. Societe Mathematique de France, pp. 1–50, 2007.
View | DOI
 
[22]
2007 | Published | Journal Article | IST-REx-ID: 220
T. D. Browning, “Counting rational points on cubic hypersurfaces,” Mathematika, vol. 54, no. 1–2. University College London, pp. 93–112, 2007.
View | DOI
 
[21]
2007 | Published | Journal Article | IST-REx-ID: 221 | OA
R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular del Pezzo surfaces of degree four, I,” Michigan Mathematical Journal, vol. 55, no. 1. Project Euclid, pp. 51–80, 2007.
[Published Version] View | Files available | DOI | arXiv
 
[20]
2007 | Published | Journal Article | IST-REx-ID: 222 | OA
R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular del Pezzo surfaces of degree four, II,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 143, no. 3. Unknown, pp. 579–605, 2007.
View | DOI | Download (ext.)
 
[19]
2007 | Published | Journal Article | IST-REx-ID: 223 | OA
T. D. Browning, “Density of integer solutions to diagonal quadratic forms,” Monatshefte fur Mathematik, vol. 152, no. 1. Springer, pp. 13–38, 2007.
View | DOI | Download (ext.)
 
[18]
2007 | Submitted | Preprint | IST-REx-ID: 6321 | OA
T. D. Browning, “The Manin conjecture in dimension 2,” arXiv. .
[Preprint] View | Download Preprint (ext.) | arXiv
 
[17]
2007 | Published | Book Chapter | IST-REx-ID: 6323 | OA
T. D. Browning, “An overview of Manin’s conjecture for del Pezzo surfaces,” in A Tribute to Gauss and Dirichlet, vol. 7, American Mathematical Society, 2007, pp. 39–56.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[16]
2006 | Published | Journal Article | IST-REx-ID: 213
T. D. Browning, R. Heath Brown, and J. Starr, “The density of rational points on non-singular hypersurfaces, II,” Proceedings of the London Mathematical Society, vol. 93, no. 2. John Wiley and Sons Ltd, pp. 273–303, 2006.
View | DOI
 
[15]
2006 | Published | Journal Article | IST-REx-ID: 215
T. D. Browning and R. Heath Brown, “The density of rational points on non-singular hypersurfaces, I,” Bulletin of the London Mathematical Society, vol. 38, no. 3. Wiley-Blackwell, pp. 401–410, 2006.
View | DOI
 
[14]
2006 | Published | Journal Article | IST-REx-ID: 216
T. D. Browning, R. Heath Brown, and P. Salberger, “Counting rational points on algebraic varieties,” Duke Mathematical Journal, vol. 132, no. 3. Unknown, pp. 545–578, 2006.
View | DOI
 
[13]
2006 | Published | Journal Article | IST-REx-ID: 218
R. De La Bretèche and T. D. Browning, “Sums of arithmetic functions over values of binary forms,” Acta Arithmetica, vol. 125, no. 3. Instytut Matematyczny, pp. 291–304, 2006.
View | DOI
 
[12]
2005 | Published | Book | IST-REx-ID: 210
H. Davenport and T. D. Browning, Analytic Methods for Diophantine Equations and Diophantine Inequalities. Cambridge University Press, 2005.
View | DOI
 
[11]
2005 | Published | Journal Article | IST-REx-ID: 211
T. D. Browning, “Equal sums of like polynomials,” Bulletin of the London Mathematical Society, vol. 37, no. 6. John Wiley and Sons Ltd, pp. 801–808, 2005.
View | DOI
 
[10]
2005 | Published | Journal Article | IST-REx-ID: 212 | OA
T. D. Browning and R. Heath Brown, “Counting rational points on hypersurfaces,” Journal fur die Reine und Angewandte Mathematik, no. 584. Walter de Gruyter and Co , pp. 83–115, 2005.
View | DOI | Download (ext.)
 
[9]
2005 | Published | Journal Article | IST-REx-ID: 214 | OA
T. D. Browning and R. Heath Brown, “Plane curves in boxes and equal sums of two powers,” Mathematische Zeitschrift, vol. 251, no. 2. Unknown, pp. 233–247, 2005.
View | DOI | Download (ext.)
 
[8]
2005 | Published | Journal Article | IST-REx-ID: 217
T. D. Browning, “The density of rational points on a certain singular cubic surface,” Journal of Number Theory, vol. 119, no. 2. Elsevier, pp. 242–283, 2005.
View | DOI
 
[7]
2004 | Published | Journal Article | IST-REx-ID: 209
T. D. Browning and R. Heath Brown, “Equal sums of three powers,” Inventiones Mathematicae, vol. 157, no. 3. Unknown, pp. 553–573, 2004.
View | DOI
 
[6]
2003 | Published | Journal Article | IST-REx-ID: 166 | OA
T. D. Browning and M. Swarbick Jones, “Counting rational points on del Pezzo surfaces of degree 5,” Proceedings of the Bonn session in analytic number theory and diophantine equations, vol. 360. Mathematisches Institut der Universität Bonn, 2003.
View | Download None (ext.) | arXiv
 
[5]
2003 | Published | Journal Article | IST-REx-ID: 205
T. D. Browning, “Counting rational points on cubic and quartic surfaces,” Acta Arithmetica, vol. 108, no. 3. Instytut Matematyczny, pp. 275–295, 2003.
View | DOI
 
[4]
2003 | Published | Journal Article | IST-REx-ID: 206
T. D. Browning, “A note on the distribution of rational points on threefolds,” Quarterly Journal of Mathematics, vol. 54, no. 1. Unknown, pp. 33–39, 2003.
View | DOI
 
[3]
2003 | Published | Journal Article | IST-REx-ID: 207
T. D. Browning, “Sums of four biquadrates,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 134, no. 3. Cambridge University Press, pp. 385–395, 2003.
View | DOI
 
[2]
2003 | Published | Journal Article | IST-REx-ID: 208
T. D. Browning, “Counting rational points on diagonal quadratic surfaces,” Quarterly Journal of Mathematics, vol. 54, no. 1. Oxford University Press, pp. 11–31, 2003.
View | DOI
 
[1]
2002 | Published | Journal Article | IST-REx-ID: 204
T. D. Browning, “Equal Sums of Two kth Powers,” Journal of Number Theory, vol. 96, no. 2. Academic Press, pp. 293–318, 2002.
[Published Version] View | DOI
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: IEEE

Export / Embed

3 Grants


Between rational and integral points

2018-09-02 – 2020-11-05
Engineering and Physical Sciences Research Council

New frontiers of the Manin conjecture

2019-10-01 – 2022-09-30
Austrian Science Fund

Rational curves via function field analytic number theory

2022-12-01 – 2025-11-30
Austrian Science Fund

104 Publications

Mark all

[104]
2024 | Published | Journal Article | IST-REx-ID: 15312 | OA
T. D. Browning and I. E. Shparlinski, “Square-free values of random polynomials,” Journal of Number Theory, vol. 261. Elsevier, pp. 220–240, 2024.
[Published Version] View | Files available | DOI | arXiv
 
[103]
2024 | Published | Journal Article | IST-REx-ID: 19051 | OA
T. D. Browning, “The polynomial sieve and equal sums of like polynomials,” International Mathematics Research Notices, vol. 2024, no. 13. Oxford University Press, pp. 10165–10168, 2024.
[Published Version] View | Files available | DOI
 
[102]
2024 | Published | Journal Article | IST-REx-ID: 15338 | OA
T. D. Browning, L. B. Pierce, and D. Schindler, “Generalised quadratic forms over totally real number fields,” Journal of the Institute of Mathematics of Jussieu, vol. 23, no. 6. Cambridge University Press, pp. 2859–2912, 2024.
[Published Version] View | Files available | DOI | arXiv
 
[101]
2024 | Published | Journal Article | IST-REx-ID: 15337 | OA
D. Bonolis, T. D. Browning, and Z. Huang, “Density of rational points on some quadric bundle threefolds,” Mathematische Annalen, vol. 390. Springer Nature, pp. 4123–4207, 2024.
[Published Version] View | Files available | DOI | arXiv
 
[100]
2024 | Published | Journal Article | IST-REx-ID: 17323 | OA
T. D. Browning and M. Verzobio, “Strong divisibility sequences and sieve methods,” Mathematika, vol. 70, no. 4. London Mathematical Society, 2024.
[Published Version] View | Files available | DOI
 
[99]
2023 | Published | Journal Article | IST-REx-ID: 13180 | OA
T. D. Browning, J. Lyczak, and R. Sarapin, “Local solubility for a family of quadrics over a split quadric surface,” Involve, vol. 16, no. 2. Mathematical Sciences Publishers, pp. 331–342, 2023.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[98]
2023 | Published | Journal Article | IST-REx-ID: 12916 | OA
D. Bonolis and T. D. Browning, “Uniform bounds for rational points on hyperelliptic fibrations,” Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 24, no. 1. Scuola Normale Superiore - Edizioni della Normale, pp. 173–204, 2023.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[97]
2023 | Published | Journal Article | IST-REx-ID: 8682 | OA
T. D. Browning, P. L. Boudec, and W. Sawin, “The Hasse principle for random Fano hypersurfaces,” Annals of Mathematics, vol. 197, no. 3. Princeton University, pp. 1115–1203, 2023.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[96]
2023 | Published | Journal Article | IST-REx-ID: 13091 | OA
T. D. Browning and W. Sawin, “Free rational curves on low degree hypersurfaces and the circle method,” Algebra and Number Theory, vol. 17, no. 3. Mathematical Sciences Publishers, pp. 719–748, 2023.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[95]
2022 | Published | Journal Article | IST-REx-ID: 12776 | OA
T. D. Browning, “Revisiting the Manin–Peyre conjecture for the split del Pezzo surface of degree 5,” New York Journal of Mathematics, vol. 28. State University of New York, pp. 1193–1229, 2022.
[Published Version] View | Files available
 
[94]
2022 | Published | Journal Article | IST-REx-ID: 9199 | OA
T. D. Browning, T. Horesh, and F. A. Wilsch, “Equidistribution and freeness on Grassmannians,” Algebra & Number Theory, vol. 16, no. 10. Mathematical Sciences Publishers, pp. 2385–2407, 2022.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[93]
2021 | Published | Book | IST-REx-ID: 10415
T. D. Browning, Cubic Forms and the Circle Method, vol. 343. Cham: Springer Nature, 2021.
View | DOI
 
[92]
2021 | Published | Journal Article | IST-REx-ID: 9260 | OA
T. D. Browning and S. Yamagishi, “Arithmetic of higher-dimensional orbifolds and a mixed Waring problem,” Mathematische Zeitschrift, vol. 299. Springer Nature, pp. 1071–1101, 2021.
[Published Version] View | Files available | DOI | WoS
 
[91]
2021 | Published | Journal Article | IST-REx-ID: 8742 | OA
T. D. Browning and R. Heath-Brown, “The geometric sieve for quadrics,” Forum Mathematicum, vol. 33, no. 1. De Gruyter, pp. 147–165, 2021.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[90]
2020 | Published | Journal Article | IST-REx-ID: 177 | OA
T. D. Browning and W. Sawin, “A geometric version of the circle method,” Annals of Mathematics, vol. 191, no. 3. Princeton University, pp. 893–948, 2020.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[89]
2020 | Published | Journal Article | IST-REx-ID: 179 | OA
T. D. Browning and R. Heath Brown, “Density of rational points on a quadric bundle in ℙ3×ℙ3,” Duke Mathematical Journal, vol. 169, no. 16. Duke University Press, pp. 3099–3165, 2020.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[88]
2020 | Published | Journal Article | IST-REx-ID: 9007 | OA
Browning, Timothy D, Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici 95 (4). 2020
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[87]
2019 | Published | Journal Article | IST-REx-ID: 170 | OA
T. D. Browning and E. Sofos, “Counting rational points on quartic del Pezzo surfaces with a rational conic,” Mathematische Annalen, vol. 373, no. 3–4. Springer Nature, pp. 977–1016, 2019.
[Published Version] View | Files available | DOI | arXiv
 
[86]
2019 | Published | Journal Article | IST-REx-ID: 175 | OA
Browning, Timothy D, Sieving rational points on varieties. Transactions of the American Mathematical Society 371 (8). 2019
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[85]
2019 | Published | Journal Article | IST-REx-ID: 6310 | OA
Browning, Timothy D, Counting rational points on biquadratic hypersurfaces. Advances in Mathematics 349. 2019
[Submitted Version] View | Files available | DOI | WoS | arXiv
 
[84]
2018 | Published | Conference Paper | IST-REx-ID: 174
T. D. Browning, “How often does the Hasse principle hold?,” presented at the Algebraic Geometry, Salt Lake City, Utah, USA, 2018, vol. 97, no. 2, pp. 89–102.
View | DOI
 
[83]
2018 | Published | Journal Article | IST-REx-ID: 176 | OA
T. D. Browning and E. Sofos, “Averages of arithmetic functions over principal ideals,” International Journal of Nuber Theory, vol. 15, no. 3. World Scientific Publishing, pp. 547–567, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[82]
2018 | Published | Journal Article | IST-REx-ID: 178 | OA
T. D. Browning and R. Heath-Brown, “Counting rational points on quadric surfaces,” Discrete Analysis, vol. 15. Alliance of Diamond Open Access Journals, pp. 1–29, 2018.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[81]
2017 | Published | Journal Article | IST-REx-ID: 169 | OA
T. D. Browning, V. Kumaraswamy, and R. Steiner, “Twisted Linnik implies optimal covering exponent for S3,” International Mathematics Research Notices. Oxford University Press, 2017.
View | DOI | Download None (ext.) | arXiv
 
[80]
2017 | Published | Journal Article | IST-REx-ID: 172 | OA
T. D. Browning and D. Schindler, “Strong approximation and a conjecture of Harpaz and Wittenberg,” International Mathematics Research Notices. Oxford University Press, 2017.
View | DOI | Download None (ext.) | arXiv
 
[79]
2017 | Published | Journal Article | IST-REx-ID: 256 | OA
T. D. Browning and S. Prendiville, “Improvements in Birch’s theorem on forms in many variables,” Journal fur die Reine und Angewandte Mathematik, vol. 2017, no. 731. Walter de Gruyter, p. 122, 2017.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[78]
2017 | Published | Journal Article | IST-REx-ID: 265 | OA
T. D. Browning and P. Vishe, “Rational curves on smooth hypersurfaces of low degree,” Geometric Methods in Algebra and Number Theory, vol. 11, no. 7. Mathematical Sciences Publishers, pp. 1657–1675, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[77]
2017 | Published | Journal Article | IST-REx-ID: 266 | OA
T. D. Browning and R. Heath Brown, “Forms in many variables and differing degrees,” Journal of the European Mathematical Society, vol. 19, no. 2. European Mathematical Society Publishing House, pp. 357–394, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[76]
2017 | Published | Journal Article | IST-REx-ID: 267 | OA
T. D. Browning, “Many cubic surfaces contain rational points,” Mathematika, vol. 63, no. 3. Cambridge University Press, pp. 818–839, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[75]
2017 | Published | Journal Article | IST-REx-ID: 268 | OA
T. D. Browning and S. Prendiville, “A transference approach to a Roth-type theorem in the squares,” International Mathematics Research Notices, vol. 2017, no. 7. Oxford University Press, pp. 2219–2248, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[74]
2017 | Published | Journal Article | IST-REx-ID: 269 | OA
T. D. Browning and D. Loughran, “Varieties with too many rational points,” Mathematische Zeitschrift, vol. 285, no. 3–4. Springer, pp. 1249–1267, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[73]
2017 | Published | Journal Article | IST-REx-ID: 270 | OA
T. D. Browning and A. Gorodnik, “Power-free values of polynomials on symmetric varieties,” Proceedings of the London Mathematical Society, vol. 114, no. 6. Wiley, pp. 1044–1080, 2017.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[72]
2017 | Published | Journal Article | IST-REx-ID: 272 | OA
T. D. Browning and L. Matthiesen, “Norm forms for arbitrary number fields as products of linear polynomials,” Annales Scientifiques de l’Ecole Normale Superieure, vol. 50, no. 6. Societe Mathematique de France, pp. 1383–1446, 2017.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[71]
2016 | Published | Journal Article | IST-REx-ID: 173 | OA
T. D. Browning and A. Booker, “Square-free values of reducible polynomials,” Discrete Analysis, vol. 8. pp. 1–18, 2016.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[70]
2016 | Published | Journal Article | IST-REx-ID: 261
T. D. Browning and I. Vinogradov, “Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1,” Journal of the London Mathematical Society, vol. 94, no. 1. John Wiley and Sons Ltd, pp. 61–84, 2016.
View | DOI
 
[69]
2016 | Published | Journal Article | IST-REx-ID: 262 | OA
T. D. Browning and R. Newton, “The proportion of failures of the Hasse norm principle,” Mathematika, vol. 62, no. 2. Cambridge University Press, pp. 337–347, 2016.
View | DOI | Download (ext.)
 
[68]
2016 | Published | Journal Article | IST-REx-ID: 263 | OA
R. De La Bretèche, T. D. Browning, and P. Salberger, “Counting rational points on the Cayley ruled cubic,” European Journal of Mathematics, vol. 2, no. 1. Springer Nature, pp. 55–72, 2016.
View | DOI | Download (ext.)
 
[67]
2016 | Published | Journal Article | IST-REx-ID: 264 | OA
M. Bright, T. D. Browning, and D. Loughran, “Failures of weak approximation in families,” Compositio Mathematica, vol. 152, no. 7. Cambridge University Press, pp. 1435–1475, 2016.
View | DOI | Download (ext.)
 
[66]
2015 | Published | Journal Article | IST-REx-ID: 257 | OA
T. D. Browning and R. Munshi, “Pairs of diagonal quadratic forms and linear correlations among sums of two squares,” Forum Mathematicum, vol. 27, no. 4. Walter de Gruyter GmbH, pp. 2025–2050, 2015.
View | DOI | Download (ext.)
 
[65]
2015 | Published | Book Chapter | IST-REx-ID: 258
T. D. Browning, “A survey of applications of the circle method to rational points,” in Arithmetic and Geometry, Cambridge University Press, 2015, pp. 89–113.
View | DOI
 
[64]
2015 | Published | Journal Article | IST-REx-ID: 259
T. D. Browning and P. Vishe, “Rational points on cubic hypersurfaces over F_q(t) ,” Geometric and Functional Analysis, vol. 25, no. 3. Birkhäuser, pp. 671–732, 2015.
View | DOI
 
[63]
2015 | Submitted | Journal Article | IST-REx-ID: 271 | OA
T. D. Browning and S. Prendiville, “Improvements in Birch’s theorem on forms in many variables,” Journal fur die Reine und Angewandte Mathematik, vol. 2017, no. 731. Walter de Gruyter, pp. 203–234.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[62]
2014 | Published | Journal Article | IST-REx-ID: 248 | OA
T. D. Browning, L. Matthiesen, and A. Skorobogatov, “Rational points on pencils of conics and quadrics with many degenerate fibres,” Annals of Mathematics, vol. 180, no. 1. John Hopkins University Press, pp. 381–402, 2014.
View | DOI | Download (ext.)
 
[61]
2014 | Published | Journal Article | IST-REx-ID: 249
T. D. Browning and P. Vishe, “Cubic hypersurfaces and a version of the circle method for number fields,” Duke Mathematical Journal, vol. 163, no. 10. Duke University Press, pp. 1825–1883, 2014.
View | DOI
 
[60]
2014 | Published | Journal Article | IST-REx-ID: 252
T. D. Browning and M. Jones, “Counting rational points on del Pezzo surfaces with a conic bundle structure,” Acta Arithmetica, vol. 163, no. 3. Instytut Matematyczny, pp. 271–298, 2014.
View | DOI
 
[59]
2014 | Published | Journal Article | IST-REx-ID: 255
T. D. Browning, R. Dietmann, and R. Heath Brown, “Rational points on intersections of cubic and quadric hypersurfaces,” Journal of the Institute of Mathematics of Jussieu, vol. 14, no. 4. Cambridge University Press, pp. 703–749, 2014.
View | Files available | DOI
 
[58]
2014 | Published | Journal Article | IST-REx-ID: 6319 | OA
R. de la Bretèche and T. D. Browning, “Contre-exemples au principe de Hasse pour certains tores coflasques,” Journal de Théorie des Nombres de Bordeaux, vol. 26, no. 1. Cellule MathDoc/CEDRAM, pp. 25–44, 2014.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[57]
2014 | Published | Journal Article | IST-REx-ID: 254
T. D. Browning, “The polynomial sieve and equal sums of like polynomials,” International Mathematics Research Notices, vol. 2015, no. 7. Oxford University Press, pp. 1987–2019, 2014.
View | Files available | DOI
 
[56]
2013 | Published | Journal Article | IST-REx-ID: 245 | OA
S. Baier and T. D. Browning, “Inhomogeneous cubic congruences and rational points on del Pezzo surfaces,” Journal fur die Reine und Angewandte Mathematik, no. 680. Walter de Gruyter, pp. 69–151, 2013.
View | DOI | Download (ext.)
 
[55]
2013 | Published | Journal Article | IST-REx-ID: 246
T. D. Browning and R. Munshi, “Rational points on singular intersections of quadrics,” Compositio Mathematica, vol. 149, no. 9. Cambridge University Press, pp. 1457–1494, 2013.
View | DOI
 
[54]
2013 | Published | Journal Article | IST-REx-ID: 247
T. D. Browning, “The Lang-Weil estimate for cubic hypersurfaces,” Canadian Mathematical Bulletin, vol. 56, no. 3. Unknown, pp. 500–502, 2013.
View | DOI
 
[53]
2013 | Published | Journal Article | IST-REx-ID: 250 | OA
R. De La Bretèche and T. D. Browning, “Density of Châtelet surfaces failing the Hasse principle,” Proceedings of the London Mathematical Society, vol. 108, no. 4. Oxford University Press, pp. 1030–1078, 2013.
View | DOI | Download (ext.)
 
[52]
2013 | Published | Journal Article | IST-REx-ID: 251
R. De La Bretèche and T. D. Browning, “Counter examples to the Hasse principle among certain coflasque tori,” Journal de Theorie des Nombres de Bordeaux, vol. 26, no. 1. Universite de Bordeaux I, pp. 25–44, 2013.
View | DOI
 
[51]
2013 | Published | Journal Article | IST-REx-ID: 253
T. D. Browning, “Counting rational points on cubic hypersurfaces: Corrigendum,” Mathematika, vol. 60, no. 1. Unknown, pp. 101–107, 2013.
View | DOI
 
[50]
2012 | Published | Journal Article | IST-REx-ID: 171 | OA
T. D. Browning and S. Baier, “Inhomogeneous cubic congruences and rational points on del Pezzo surfaces,” Journal fur die Reine und Angewandte Mathematik, vol. 2013, no. 680. Walter de Gruyter, pp. 1–65, 2012.
View | DOI | Download (ext.)
 
[49]
2012 | Published | Journal Article | IST-REx-ID: 237
R. De La Bretèche, T. D. Browning, and E. Peyre, “On Manin’s conjecture for a family of Châtelet surfaces,” Annals of Mathematics, vol. 175, no. 1. Princeton University Press, pp. 297–343, 2012.
View | DOI
 
[48]
2012 | Published | Journal Article | IST-REx-ID: 238
S. Baier and T. D. Browning, “Inhomogeneous quadratic congruences,” Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2. Adam Mickiewicz University Press, pp. 267–286, 2012.
View | DOI
 
[47]
2012 | Published | Journal Article | IST-REx-ID: 240
T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,” Experimental Mathematics, vol. 21, no. 2. Taylor & Francis, pp. 204–211, 2012.
View | DOI
 
[46]
2012 | Published | Journal Article | IST-REx-ID: 241
R. De La Bretèche and T. D. Browning, “Binary forms as sums of two squares and Châtelet surfaces,” Israel Journal of Mathematics, vol. 191, no. 2. Springer, pp. 973–1012, 2012.
View | DOI
 
[45]
2012 | Published | Journal Article | IST-REx-ID: 242 | OA
S. Baier, T. D. Browning, G. Marasingha, and L. Zhao, “Averages of shifted convolutions of d3 (n),” Proceedings of the Edinburgh Mathematical Society, vol. 55, no. 3. Cambridge University Press, pp. 551–576, 2012.
View | DOI | Download (ext.)
 
[44]
2012 | Published | Journal Article | IST-REx-ID: 243
T. D. Browning and R. Heath Brown, “Quadratic polynomials represented by norm forms,” Geometric and Functional Analysis, vol. 22, no. 5. Springer Basel, pp. 1124–1190, 2012.
View | DOI
 
[43]
2012 | Published | Journal Article | IST-REx-ID: 244 | OA
T. D. Browning and A. Haynes, “Incomplete kloosterman sums and multiplicative inverses in short intervals,” International Journal of Number Theory, vol. 9, no. 2. World Scientific Publishing, pp. 481–486, 2012.
View | DOI | Download (ext.)
 
[42]
2011 | Published | Journal Article | IST-REx-ID: 233
T. D. Browning, “Power-free values of polynomials,” Archiv der Mathematik, vol. 96, no. 2. Birkhäuser, pp. 139–150, 2011.
View | DOI
 
[41]
2011 | Published | Journal Article | IST-REx-ID: 234
T. D. Browning, “The divisor problem for binary cubic forms,” Journal de Theorie des Nombres de Bordeaux, vol. 23, no. 3. Universite de Bordeaux, pp. 579–602, 2011.
View | DOI
 
[40]
2011 | Published | Journal Article | IST-REx-ID: 235
T. D. Browning and C. Elsholtz, “The number of representations of rationals as a sum of unit fractions,” Illinois Journal of Mathematics, vol. 55, no. 2. University of Illinois Press, pp. 685–696, 2011.
View
 
[39]
2011 | Published | Journal Article | IST-REx-ID: 236
R. De La Bretèche and T. D. Browning, “Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration,” Duke Mathematical Journal, vol. 160, no. 1. Duke University Press, pp. 1–69, 2011.
View | DOI
 
[38]
2011 | Published | Journal Article | IST-REx-ID: 239
T. D. Browning, R. Dietmann, and P. Elliott, “Least zero of a cubic form,” Mathematische Annalen, vol. 352, no. 3. Springer, pp. 745–778, 2011.
View | DOI
 
[37]
2010 | Published | Journal Article | IST-REx-ID: 231
T. D. Browning and J. Colliot Thélène, “Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène,” Compositio Mathematica, vol. 146, no. 4. Cambridge University Press, pp. 853–885, 2010.
View | DOI
 
[36]
2010 | Published | Journal Article | IST-REx-ID: 232 | OA
R. De La Bretèche and T. D. Browning, “Le problème des diviseurs pour des formes binaires de degré 4,” Journal fur die Reine und Angewandte Mathematik, no. 646. Walter de Gruyter, pp. 1–44, 2010.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[35]
2010 | Published | Journal Article | IST-REx-ID: 6320 | OA
R. de la Bretèche and T. D. Browning, “Le problème des diviseurs pour des formes binaires de degré 4,” Crelles Journal, vol. 2010, no. 646. Walter de Gruyter GmbH, pp. 1–44, 2010.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[34]
2009 | Published | Book Chapter | IST-REx-ID: 164 | OA
T. D. Browning and R. Heath Brown, “Integral points on cubic hypersurfaces,” in Analytic Number Theory: Essays in honour of Klaus Roth, Cambridge University Press, 2009, pp. 75–90.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[33]
2009 | Published | Conference Paper | IST-REx-ID: 165
T. D. Browning, “Resent progress on the quantitative arithmetic of del Pezzo surfaces,” presented at the Number Theory: Dreaming in dreams, 2009, vol. 6, pp. 1–18.
View | DOI
 
[32]
2009 | Published | Book Chapter | IST-REx-ID: 168
T. D. Browning and R. Dietmann, “Solubility of Fermat equations,” in Quadratic Forms - algebra, arithmetic and geometry, vol. 493, American Mathematical Society, 2009, pp. 99–106.
View | DOI | Download (ext.)
 
[31]
2009 | Published | Journal Article | IST-REx-ID: 226
T. D. Browning and U. Derenthal, “Manin’s conjecture for a quartic del Pezzo surface with A4 singularity,” Annales de l’Institut Fourier, vol. 59, no. 3. Association des Annales de l’Institut Fourier, pp. 1231–1265, 2009.
View | DOI
 
[30]
2009 | Published | Book | IST-REx-ID: 227
T. D. Browning, Quantitative Arithmetic of Projective Varieties, vol. 277. Birkhäuser Basel, 2009.
View | DOI
 
[29]
2009 | Published | Journal Article | IST-REx-ID: 228 | OA
T. D. Browning and R. Heath Brown, “Rational points on quartic hypersurfaces,” Journal fur die Reine und Angewandte Mathematik, no. 629. Walter de Gruyter, pp. 37–88, 2009.
View | DOI | Download (ext.)
 
[28]
2009 | Published | Journal Article | IST-REx-ID: 229 | OA
T. D. Browning, “Linear growth for Châtelet surfaces,” Mathematische Annalen, vol. 346, no. 1. Springer Nature, pp. 41–50, 2009.
View | DOI | Download (ext.)
 
[27]
2009 | Published | Journal Article | IST-REx-ID: 230
T. D. Browning and U. Derenthal, “Manin’s conjecture for a cubic surface with  D 5 singularity,” International Mathematics Research Notices, vol. 2009, no. 14. Oxford University Press, pp. 2620–2647, 2009.
View | DOI
 
[26]
2008 | Published | Journal Article | IST-REx-ID: 225
R. De La Bretèche and T. D. Browning, “Binary linear forms as sums of two squares,” Compositio Mathematica, vol. 144, no. 6. Cambridge University Press, pp. 1375–1402, 2008.
View | DOI
 
[25]
2008 | Published | Journal Article | IST-REx-ID: 224
T. D. Browning and R. Dietmann, “On the representation of integers by quadratic forms,” Proceedings of the London Mathematical Society, vol. 96, no. 2. John Wiley and Sons Ltd, pp. 389–416, 2008.
View | DOI
 
[24]
2007 | Published | Book Chapter | IST-REx-ID: 167 | OA
T. D. Browning and R. Heath Brown, “Simultaneous equal sums of three powers,” in Diophantine Geometry, vol. 4, U. Zannier, Ed. Edizioni della Normale, 2007, pp. 93–100.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[23]
2007 | Published | Journal Article | IST-REx-ID: 219
R. De La Bretèche, T. D. Browning, and U. Derenthal, “On Manin’s conjecture for a certain singular cubic surface,” Annales Scientifiques de l’Ecole Normale Superieure, vol. 40, no. 1. Societe Mathematique de France, pp. 1–50, 2007.
View | DOI
 
[22]
2007 | Published | Journal Article | IST-REx-ID: 220
T. D. Browning, “Counting rational points on cubic hypersurfaces,” Mathematika, vol. 54, no. 1–2. University College London, pp. 93–112, 2007.
View | DOI
 
[21]
2007 | Published | Journal Article | IST-REx-ID: 221 | OA
R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular del Pezzo surfaces of degree four, I,” Michigan Mathematical Journal, vol. 55, no. 1. Project Euclid, pp. 51–80, 2007.
[Published Version] View | Files available | DOI | arXiv
 
[20]
2007 | Published | Journal Article | IST-REx-ID: 222 | OA
R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular del Pezzo surfaces of degree four, II,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 143, no. 3. Unknown, pp. 579–605, 2007.
View | DOI | Download (ext.)
 
[19]
2007 | Published | Journal Article | IST-REx-ID: 223 | OA
T. D. Browning, “Density of integer solutions to diagonal quadratic forms,” Monatshefte fur Mathematik, vol. 152, no. 1. Springer, pp. 13–38, 2007.
View | DOI | Download (ext.)
 
[18]
2007 | Submitted | Preprint | IST-REx-ID: 6321 | OA
T. D. Browning, “The Manin conjecture in dimension 2,” arXiv. .
[Preprint] View | Download Preprint (ext.) | arXiv
 
[17]
2007 | Published | Book Chapter | IST-REx-ID: 6323 | OA
T. D. Browning, “An overview of Manin’s conjecture for del Pezzo surfaces,” in A Tribute to Gauss and Dirichlet, vol. 7, American Mathematical Society, 2007, pp. 39–56.
[Preprint] View | Download Preprint (ext.) | arXiv
 
[16]
2006 | Published | Journal Article | IST-REx-ID: 213
T. D. Browning, R. Heath Brown, and J. Starr, “The density of rational points on non-singular hypersurfaces, II,” Proceedings of the London Mathematical Society, vol. 93, no. 2. John Wiley and Sons Ltd, pp. 273–303, 2006.
View | DOI
 
[15]
2006 | Published | Journal Article | IST-REx-ID: 215
T. D. Browning and R. Heath Brown, “The density of rational points on non-singular hypersurfaces, I,” Bulletin of the London Mathematical Society, vol. 38, no. 3. Wiley-Blackwell, pp. 401–410, 2006.
View | DOI
 
[14]
2006 | Published | Journal Article | IST-REx-ID: 216
T. D. Browning, R. Heath Brown, and P. Salberger, “Counting rational points on algebraic varieties,” Duke Mathematical Journal, vol. 132, no. 3. Unknown, pp. 545–578, 2006.
View | DOI
 
[13]
2006 | Published | Journal Article | IST-REx-ID: 218
R. De La Bretèche and T. D. Browning, “Sums of arithmetic functions over values of binary forms,” Acta Arithmetica, vol. 125, no. 3. Instytut Matematyczny, pp. 291–304, 2006.
View | DOI
 
[12]
2005 | Published | Book | IST-REx-ID: 210
H. Davenport and T. D. Browning, Analytic Methods for Diophantine Equations and Diophantine Inequalities. Cambridge University Press, 2005.
View | DOI
 
[11]
2005 | Published | Journal Article | IST-REx-ID: 211
T. D. Browning, “Equal sums of like polynomials,” Bulletin of the London Mathematical Society, vol. 37, no. 6. John Wiley and Sons Ltd, pp. 801–808, 2005.
View | DOI
 
[10]
2005 | Published | Journal Article | IST-REx-ID: 212 | OA
T. D. Browning and R. Heath Brown, “Counting rational points on hypersurfaces,” Journal fur die Reine und Angewandte Mathematik, no. 584. Walter de Gruyter and Co , pp. 83–115, 2005.
View | DOI | Download (ext.)
 
[9]
2005 | Published | Journal Article | IST-REx-ID: 214 | OA
T. D. Browning and R. Heath Brown, “Plane curves in boxes and equal sums of two powers,” Mathematische Zeitschrift, vol. 251, no. 2. Unknown, pp. 233–247, 2005.
View | DOI | Download (ext.)
 
[8]
2005 | Published | Journal Article | IST-REx-ID: 217
T. D. Browning, “The density of rational points on a certain singular cubic surface,” Journal of Number Theory, vol. 119, no. 2. Elsevier, pp. 242–283, 2005.
View | DOI
 
[7]
2004 | Published | Journal Article | IST-REx-ID: 209
T. D. Browning and R. Heath Brown, “Equal sums of three powers,” Inventiones Mathematicae, vol. 157, no. 3. Unknown, pp. 553–573, 2004.
View | DOI
 
[6]
2003 | Published | Journal Article | IST-REx-ID: 166 | OA
T. D. Browning and M. Swarbick Jones, “Counting rational points on del Pezzo surfaces of degree 5,” Proceedings of the Bonn session in analytic number theory and diophantine equations, vol. 360. Mathematisches Institut der Universität Bonn, 2003.
View | Download None (ext.) | arXiv
 
[5]
2003 | Published | Journal Article | IST-REx-ID: 205
T. D. Browning, “Counting rational points on cubic and quartic surfaces,” Acta Arithmetica, vol. 108, no. 3. Instytut Matematyczny, pp. 275–295, 2003.
View | DOI
 
[4]
2003 | Published | Journal Article | IST-REx-ID: 206
T. D. Browning, “A note on the distribution of rational points on threefolds,” Quarterly Journal of Mathematics, vol. 54, no. 1. Unknown, pp. 33–39, 2003.
View | DOI
 
[3]
2003 | Published | Journal Article | IST-REx-ID: 207
T. D. Browning, “Sums of four biquadrates,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 134, no. 3. Cambridge University Press, pp. 385–395, 2003.
View | DOI
 
[2]
2003 | Published | Journal Article | IST-REx-ID: 208
T. D. Browning, “Counting rational points on diagonal quadratic surfaces,” Quarterly Journal of Mathematics, vol. 54, no. 1. Oxford University Press, pp. 11–31, 2003.
View | DOI
 
[1]
2002 | Published | Journal Article | IST-REx-ID: 204
T. D. Browning, “Equal Sums of Two kth Powers,” Journal of Number Theory, vol. 96, no. 2. Academic Press, pp. 293–318, 2002.
[Published Version] View | DOI
 
Marked Publication(s)

Search

Filter Publications

Display / Sort

Citation Style: IEEE

Export / Embed