89 Publications

Mark all

[89]
2019 | Journal Article | IST-REx-ID: 170   OA
Browning TD, Sofos E. 2019. Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. 373(3–4), 977–1016.
View | Files available | DOI | arXiv
 
[88]
2019 | Journal Article | IST-REx-ID: 175   OA
Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions of the American Mathematical Society. 371(8), 5757–5785.
View | Download (ext.) | arXiv
 
[87]
2019 | Journal Article | IST-REx-ID: 6310   OA
Browning TD, Hu LQ. 2019. Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. 349, 920–940.
View | Files available | DOI | arXiv
 
[86]
2018 | Conference Paper | IST-REx-ID: 174
Browning TD. 2018. How often does the Hasse principle hold? Algebraic Geometry, Proceedings of Symposia in Pure Mathematics, vol. 97. 89–102.
View | DOI
 
[85]
2018 | Preprint | IST-REx-ID: 179   OA
Browning TD, Heath Brown R. 2018. Density of rational points on a quadric bundle in ℙ3×ℙ3. Unknown., 1–60.
View | Download (ext.)
 
[84]
2018 | Preprint | IST-REx-ID: 176   OA
Browning TD, Sofos E. 2018. Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory., 1–22.
View | Download (ext.) | arXiv
 
[83]
2018 | Journal Article | IST-REx-ID: 178   OA
Browning TD, Heath-Brown R. 2018. Counting rational points on quadric surfaces. Discrete Analysis., 1–31.
View | DOI | Download (ext.) | arXiv
 
[82]
2017 | Journal Article | IST-REx-ID: 268   OA
Browning TD, Prendiville S. 2017. A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices. 2017(7), 2219–2248.
View | DOI | Download (ext.)
 
[81]
2017 | Journal Article | IST-REx-ID: 270   OA
Browning TD, Gorodnik A. 2017. Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society. 114(6), 1044–1080.
View | DOI | Download (ext.)
 
[80]
2017 | Journal Article | IST-REx-ID: 269   OA
Browning TD, Loughran D. 2017. Varieties with too many rational points. Mathematische Zeitschrift. 285(3–4), 1249–1267.
View | DOI | Download (ext.) | arXiv
 
[79]
2017 | Journal Article | IST-REx-ID: 271   OA
Browning TD, Prendiville S. 2017. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017(731), 203–234.
View | DOI | Download (ext.)
 
[78]
2017 | Journal Article | IST-REx-ID: 169   OA
Browning TD, Kumaraswamy V, Steiner R. 2017. Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices.
View | DOI | Download (ext.)
 
[77]
2017 | Journal Article | IST-REx-ID: 265
Browning TD, Vishe P. 2017. Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory. 11(7), 1657–1675.
View | DOI
 
[76]
2017 | Journal Article | IST-REx-ID: 272   OA
Browning TD, Matthiesen L. 2017. Norm forms for arbitrary number fields as products of linear polynomials. Annales Scientifiques de l’Ecole Normale Superieure. 50(6), 1383–1446.
View | DOI | Download (ext.)
 
[75]
2017 | Preprint | IST-REx-ID: 177   OA
Browning TD, Sawin W. 2017. A geometric version of the circle method. Unknown., 1–47.
View | Download (ext.)
 
[74]
2017 | Journal Article | IST-REx-ID: 172   OA
Browning TD, Schindler D. 2017. Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices.
View | DOI | Download (ext.)
 
[73]
2017 | Journal Article | IST-REx-ID: 266   OA
Browning TD, Heath Brown R. 2017. Forms in many variables and differing degrees. Journal of the European Mathematical Society. 19(2), 357–394.
View | DOI | Download (ext.)
 
[72]
2017 | Journal Article | IST-REx-ID: 267
Browning TD. 2017. Many cubic surfaces contain rational points. Mathematika. 63(3), 818–839.
View | DOI
 
[71]
2016 | Journal Article | IST-REx-ID: 263   OA
De La Bretèche R, Browning TD, Salberger P. 2016. Counting rational points on the Cayley ruled cubic. European Journal of Mathematics. 2(1), 55–72.
View | DOI | Download (ext.)
 
[70]
2016 | Journal Article | IST-REx-ID: 264   OA
Bright M, Browning TD, Loughran D. 2016. Failures of weak approximation in families. Compositio Mathematica. 152(7), 1435–1475.
View | DOI | Download (ext.)
 
[69]
2016 | Journal Article | IST-REx-ID: 261
Browning TD, Vinogradov I. 2016. Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society. 94(1), 61–84.
View | DOI
 
[68]
2016 | Journal Article | IST-REx-ID: 173   OA
Browning TD, Booker A. 2016. Square-free values of reducible polynomials. Discrete Analysis. 8, 1–18.
View | Download (ext.)
 
[67]
2016 | Journal Article | IST-REx-ID: 262   OA
Browning TD, Newton R. 2016. The proportion of failures of the Hasse norm principle. Mathematika. 62(2), 337–347.
View | DOI | Download (ext.)
 
[66]
2015 | Journal Article | IST-REx-ID: 256   OA
Browning TD, Prendiville S. 2015. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017(731).
View | DOI | Download (ext.)
 
[65]
2015 | Journal Article | IST-REx-ID: 257   OA
Browning TD, Munshi R. 2015. Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum. 27(4), 2025–2050.
View | DOI | Download (ext.)
 
[64]
2015 | Journal Article | IST-REx-ID: 260
Browning TD, Dietmann R, Heath Brown R. 2015. Erratum Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. 14(4).
View | DOI
 
[63]
2015 | Book Chapter | IST-REx-ID: 258
Browning TD. 2015. A survey of applications of the circle method to rational points. Arithmetic and Geometry. 89–113.
View | DOI
 
[62]
2015 | Journal Article | IST-REx-ID: 259
Browning TD, Vishe P. 2015. Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. 25(3), 671–732.
View | DOI
 
[61]
2014 | Journal Article | IST-REx-ID: 249
Browning TD, Vishe P. 2014. Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal. 163(10), 1825–1883.
View | DOI
 
[60]
2014 | Journal Article | IST-REx-ID: 252
Browning TD, Jones M. 2014. Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica. 163(3), 271–298.
View | DOI
 
[59]
2014 | Journal Article | IST-REx-ID: 6319   OA
Bretèche R de la, Browning TD. 2014. Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie des Nombres de Bordeaux. 26(1), 25–44.
View | DOI | Download (ext.) | arXiv
 
[58]
2014 | Journal Article | IST-REx-ID: 254
Browning TD. 2014. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2015(7), 1987–2019.
View | DOI
 
[57]
2014 | Journal Article | IST-REx-ID: 248   OA
Browning TD, Matthiesen L, Skorobogatov A. 2014. Rational points on pencils of conics and quadrics with many degenerate fibres. Annals of Mathematics. 180(1), 381–402.
View | DOI | Download (ext.)
 
[56]
2014 | Journal Article | IST-REx-ID: 255
Browning TD, Dietmann R, Heath Brown R. 2014. Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. 14(4), 703–749.
View | DOI
 
[55]
2013 | Journal Article | IST-REx-ID: 251
De La Bretèche R, Browning TD. 2013. Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie des Nombres de Bordeaux. 26(1), 25–44.
View | DOI
 
[54]
2013 | Journal Article | IST-REx-ID: 245   OA
Baier S, Browning TD. 2013. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. (680), 69–151.
View | DOI | Download (ext.)
 
[53]
2013 | Journal Article | IST-REx-ID: 246
Browning TD, Munshi R. 2013. Rational points on singular intersections of quadrics. Compositio Mathematica. 149(9), 1457–1494.
View | DOI
 
[52]
2013 | Journal Article | IST-REx-ID: 253
Browning TD. 2013. Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. 60(1), 101–107.
View | DOI
 
[51]
2013 | Journal Article | IST-REx-ID: 247
Browning TD. 2013. The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. 56(3), 500–502.
View | DOI
 
[50]
2013 | Journal Article | IST-REx-ID: 250   OA
De La Bretèche R, Browning TD. 2013. Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. 108(4), 1030–1078.
View | DOI | Download (ext.)
 
[49]
2012 | Journal Article | IST-REx-ID: 237
De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.
View | DOI
 
[48]
2012 | Journal Article | IST-REx-ID: 244   OA
Browning TD, Haynes A. 2012. Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. 9(2), 481–486.
View | DOI | Download (ext.)
 
[47]
2012 | Journal Article | IST-REx-ID: 238
Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 47(2), 267–286.
View | DOI
 
[46]
2012 | Journal Article | IST-REx-ID: 240
Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental Mathematics. 21(2), 204–211.
View | DOI
 
[45]
2012 | Journal Article | IST-REx-ID: 171   OA
Browning TD, Baier S. 2012. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. 2013(680), 1–65.
View | DOI | Download (ext.)
 
[44]
2012 | Journal Article | IST-REx-ID: 241
De La Bretèche R, Browning TD. 2012. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 191(2), 973–1012.
View | DOI
 
[43]
2012 | Journal Article | IST-REx-ID: 242   OA
Baier S, Browning TD, Marasingha G, Zhao L. 2012. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 55(3), 551–576.
View | DOI | Download (ext.)
 
[42]
2012 | Journal Article | IST-REx-ID: 243
Browning TD, Heath Brown R. 2012. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 22(5), 1124–1190.
View | DOI
 
[41]
2011 | Journal Article | IST-REx-ID: 233
Browning TD. 2011. Power-free values of polynomials. Archiv der Mathematik. 96(2), 139–150.
View | DOI
 
[40]
2011 | Journal Article | IST-REx-ID: 234
Browning TD. 2011. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 23(3), 579–602.
View | DOI
 
[39]
2011 | Journal Article | IST-REx-ID: 239
Browning TD, Dietmann R, Elliott P. 2011. Least zero of a cubic form. Mathematische Annalen. 352(3), 745–778.
View | DOI
 
[38]
2011 | Journal Article | IST-REx-ID: 235
Browning TD, Elsholtz C. 2011. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 55(2), 685–696.
View
 
[37]
2011 | Journal Article | IST-REx-ID: 236
De La Bretèche R, Browning TD. 2011. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 160(1), 1–69.
View | DOI
 
[36]
2010 | Journal Article | IST-REx-ID: 6320   OA
Bretèche R de la, Browning TD. 2010. Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal. 2010(646), 1–44.
View | DOI | Download (ext.) | arXiv
 
[35]
2010 | Journal Article | IST-REx-ID: 231
Browning TD, Colliot Thélène J. 2010. Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica. 146(4), 853–885.
View | DOI
 
[34]
2009 | Book Chapter | IST-REx-ID: 168
Browning TD, Dietmann R. 2009. Solubility of Fermat equations. Quadratic Forms - algebra, arithmetic and geometry. , Contemporary Mathematics, vol. 493. 99–106.
View | DOI | Download (ext.)
 
[33]
2009 | Journal Article | IST-REx-ID: 226
Browning TD, Derenthal U. 2009. Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. 59(3), 1231–1265.
View | DOI
 
[32]
2009 | Book Chapter | IST-REx-ID: 164   OA
Browning TD, Heath Brown R. 2009. Integral points on cubic hypersurfaces. Analytic Number Theory: Essays in honour of Klaus Roth. 75–90.
View | Download (ext.)
 
[31]
2009 | Book | IST-REx-ID: 227
Browning TD. 2009. Quantitative arithmetic of projective varieties, Birkhäuser Basel,p.
View | DOI
 
[30]
2009 | Conference Paper | IST-REx-ID: 165
Browning TD. 2009. Resent progress on the quantitative arithmetic of del Pezzo surfaces. Number Theory: Dreaming in dreams, Series on number theory and its application, vol. 6. 1–18.
View | DOI
 
[29]
2009 | Journal Article | IST-REx-ID: 230
Browning TD, Derenthal U. 2009. Manin’s conjecture for a cubic surface with  D 5 singularity. International Mathematics Research Notices. 2009(14), 2620–2647.
View | DOI
 
[28]
2009 | Journal Article | IST-REx-ID: 228   OA
Browning TD, Heath Brown R. 2009. Rational points on quartic hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (629), 37–88.
View | DOI | Download (ext.)
 
[27]
2009 | Journal Article | IST-REx-ID: 229   OA
Browning TD. 2009. Linear growth for Châtelet surfaces. Mathematische Annalen. 346(1), 41–50.
View | DOI | Download (ext.)
 
[26]
2008 | Journal Article | IST-REx-ID: 225
De La Bretèche R, Browning TD. 2008. Binary linear forms as sums of two squares. Compositio Mathematica. 144(6), 1375–1402.
View | DOI
 
[25]
2008 | Journal Article | IST-REx-ID: 224
Browning TD, Dietmann R. 2008. On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. 96(2), 389–416.
View | DOI
 
[24]
2007 | Book Chapter | IST-REx-ID: 167   OA
Browning TD, Heath Brown R. 2007. Simultaneous equal sums of three powers. Diophantine Geometry. , CRM Series, vol. 4. 93–100.
View | Download (ext.)
 
[23]
2007 | Journal Article | IST-REx-ID: 220
Browning TD. 2007. Counting rational points on cubic hypersurfaces. Mathematika. 54(1–2), 93–112.
View | DOI
 
[22]
2007 | Journal Article | IST-REx-ID: 219
De La Bretèche R, Browning TD, Derenthal U. 2007. On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. 40(1), 1–50.
View | DOI
 
[21]
2007 | Journal Article | IST-REx-ID: 221   OA
De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal. 55(1), 51–80.
View | Files available | DOI | arXiv
 
[20]
2007 | Preprint | IST-REx-ID: 6321   OA
Browning TD. 2007. The Manin conjecture in dimension 2. Arxiv., 1–57.
View | Download (ext.) | arXiv
 
[19]
2007 | Journal Article | IST-REx-ID: 222   OA
De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical Society. 143(3), 579–605.
View | DOI | Download (ext.)
 
[18]
2007 | Journal Article | IST-REx-ID: 223   OA
Browning TD. 2007. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 152(1), 13–38.
View | DOI | Download (ext.)
 
[17]
2007 | Book Chapter | IST-REx-ID: 6323   OA
Browning TD. 2007. An overview of Manin’s conjecture for del Pezzo surfaces. A Tribute to Gauss and Dirichlet. Analytic Number Theory, Clay Mathemetics Proceedings, vol. 7. 39–56.
View | Download (ext.) | arXiv
 
[16]
2006 | Journal Article | IST-REx-ID: 213
Browning TD, Heath Brown R, Starr J. 2006. The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. 93(2), 273–303.
View | DOI
 
[15]
2006 | Journal Article | IST-REx-ID: 218
De La Bretèche R, Browning TD. 2006. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 125(3), 291–304.
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 215
Browning TD, Heath Brown R. 2006. The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. 38(3), 401–410.
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 216
Browning TD, Heath Brown R, Salberger P. 2006. Counting rational points on algebraic varieties. Duke Mathematical Journal. 132(3), 545–578.
View | DOI
 
[12]
2005 | Journal Article | IST-REx-ID: 214   OA
Browning TD, Heath Brown R. 2005. Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. 251(2), 233–247.
View | DOI | Download (ext.)
 
[11]
2005 | Book | IST-REx-ID: 210
Davenport H, Browning TD. 2005. Analytic methods for diophantine equations and diophantine inequalities, Cambridge University Press,p.
View | DOI
 
[10]
2005 | Journal Article | IST-REx-ID: 211
Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 37(6), 801–808.
View | DOI
 
[9]
2005 | Journal Article | IST-REx-ID: 217
Browning TD. 2005. The density of rational points on a certain singular cubic surface. Journal of Number Theory. 119(2), 242–283.
View | DOI
 
[8]
2005 | Journal Article | IST-REx-ID: 212   OA
Browning TD, Heath Brown R. 2005. Counting rational points on hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (584), 83–115.
View | DOI | Download (ext.)
 
[7]
2004 | Journal Article | IST-REx-ID: 209
Browning TD, Heath Brown R. 2004. Equal sums of three powers. Inventiones Mathematicae. 157(3), 553–573.
View | DOI
 
[6]
2003 | Journal Article | IST-REx-ID: 206
Browning TD. 2003. A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics. 54(1), 33–39.
View | DOI
 
[5]
2003 | Journal Article | IST-REx-ID: 207
Browning TD. 2003. Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. 134(3), 385–395.
View | DOI
 
[4]
2003 | Journal Article | IST-REx-ID: 208
Browning TD. 2003. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 54(1), 11–31.
View | DOI
 
[3]
2003 | Journal Article | IST-REx-ID: 166   OA
Browning TD, Swarbick Jones M. 2003. Counting rational points on del Pezzo surfaces of degree 5. Proceedings of the Bonn session in analytic number theory and diophantine equations. 360.
View | Download (ext.) | arXiv
 
[2]
2003 | Journal Article | IST-REx-ID: 205
Browning TD. 2003. Counting rational points on cubic and quartic surfaces. Acta Arithmetica. 108(3), 275–295.
View | DOI
 
[1]
2002 | Journal Article | IST-REx-ID: 204
Browning TD. 2002. Equal Sums of Two kth Powers. Journal of Number Theory. 96(2), 293–318.
View | DOI
 

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89 Publications

Mark all

[89]
2019 | Journal Article | IST-REx-ID: 170   OA
Browning TD, Sofos E. 2019. Counting rational points on quartic del Pezzo surfaces with a rational conic. Mathematische Annalen. 373(3–4), 977–1016.
View | Files available | DOI | arXiv
 
[88]
2019 | Journal Article | IST-REx-ID: 175   OA
Browning TD, Loughran D. 2019. Sieving rational points on varieties. Transactions of the American Mathematical Society. 371(8), 5757–5785.
View | Download (ext.) | arXiv
 
[87]
2019 | Journal Article | IST-REx-ID: 6310   OA
Browning TD, Hu LQ. 2019. Counting rational points on biquadratic hypersurfaces. Advances in Mathematics. 349, 920–940.
View | Files available | DOI | arXiv
 
[86]
2018 | Conference Paper | IST-REx-ID: 174
Browning TD. 2018. How often does the Hasse principle hold? Algebraic Geometry, Proceedings of Symposia in Pure Mathematics, vol. 97. 89–102.
View | DOI
 
[85]
2018 | Preprint | IST-REx-ID: 179   OA
Browning TD, Heath Brown R. 2018. Density of rational points on a quadric bundle in ℙ3×ℙ3. Unknown., 1–60.
View | Download (ext.)
 
[84]
2018 | Preprint | IST-REx-ID: 176   OA
Browning TD, Sofos E. 2018. Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory., 1–22.
View | Download (ext.) | arXiv
 
[83]
2018 | Journal Article | IST-REx-ID: 178   OA
Browning TD, Heath-Brown R. 2018. Counting rational points on quadric surfaces. Discrete Analysis., 1–31.
View | DOI | Download (ext.) | arXiv
 
[82]
2017 | Journal Article | IST-REx-ID: 268   OA
Browning TD, Prendiville S. 2017. A transference approach to a Roth-type theorem in the squares. International Mathematics Research Notices. 2017(7), 2219–2248.
View | DOI | Download (ext.)
 
[81]
2017 | Journal Article | IST-REx-ID: 270   OA
Browning TD, Gorodnik A. 2017. Power-free values of polynomials on symmetric varieties. Proceedings of the London Mathematical Society. 114(6), 1044–1080.
View | DOI | Download (ext.)
 
[80]
2017 | Journal Article | IST-REx-ID: 269   OA
Browning TD, Loughran D. 2017. Varieties with too many rational points. Mathematische Zeitschrift. 285(3–4), 1249–1267.
View | DOI | Download (ext.) | arXiv
 
[79]
2017 | Journal Article | IST-REx-ID: 271   OA
Browning TD, Prendiville S. 2017. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017(731), 203–234.
View | DOI | Download (ext.)
 
[78]
2017 | Journal Article | IST-REx-ID: 169   OA
Browning TD, Kumaraswamy V, Steiner R. 2017. Twisted Linnik implies optimal covering exponent for S3. International Mathematics Research Notices.
View | DOI | Download (ext.)
 
[77]
2017 | Journal Article | IST-REx-ID: 265
Browning TD, Vishe P. 2017. Rational curves on smooth hypersurfaces of low degree. Geometric Methods in Algebra and Number Theory. 11(7), 1657–1675.
View | DOI
 
[76]
2017 | Journal Article | IST-REx-ID: 272   OA
Browning TD, Matthiesen L. 2017. Norm forms for arbitrary number fields as products of linear polynomials. Annales Scientifiques de l’Ecole Normale Superieure. 50(6), 1383–1446.
View | DOI | Download (ext.)
 
[75]
2017 | Preprint | IST-REx-ID: 177   OA
Browning TD, Sawin W. 2017. A geometric version of the circle method. Unknown., 1–47.
View | Download (ext.)
 
[74]
2017 | Journal Article | IST-REx-ID: 172   OA
Browning TD, Schindler D. 2017. Strong approximation and a conjecture of Harpaz and Wittenberg. International Mathematics Research Notices.
View | DOI | Download (ext.)
 
[73]
2017 | Journal Article | IST-REx-ID: 266   OA
Browning TD, Heath Brown R. 2017. Forms in many variables and differing degrees. Journal of the European Mathematical Society. 19(2), 357–394.
View | DOI | Download (ext.)
 
[72]
2017 | Journal Article | IST-REx-ID: 267
Browning TD. 2017. Many cubic surfaces contain rational points. Mathematika. 63(3), 818–839.
View | DOI
 
[71]
2016 | Journal Article | IST-REx-ID: 263   OA
De La Bretèche R, Browning TD, Salberger P. 2016. Counting rational points on the Cayley ruled cubic. European Journal of Mathematics. 2(1), 55–72.
View | DOI | Download (ext.)
 
[70]
2016 | Journal Article | IST-REx-ID: 264   OA
Bright M, Browning TD, Loughran D. 2016. Failures of weak approximation in families. Compositio Mathematica. 152(7), 1435–1475.
View | DOI | Download (ext.)
 
[69]
2016 | Journal Article | IST-REx-ID: 261
Browning TD, Vinogradov I. 2016. Effective ratner theorem for SL (2, R) ⋉R2 and gaps in √n modulo 1. Journal of the London Mathematical Society. 94(1), 61–84.
View | DOI
 
[68]
2016 | Journal Article | IST-REx-ID: 173   OA
Browning TD, Booker A. 2016. Square-free values of reducible polynomials. Discrete Analysis. 8, 1–18.
View | Download (ext.)
 
[67]
2016 | Journal Article | IST-REx-ID: 262   OA
Browning TD, Newton R. 2016. The proportion of failures of the Hasse norm principle. Mathematika. 62(2), 337–347.
View | DOI | Download (ext.)
 
[66]
2015 | Journal Article | IST-REx-ID: 256   OA
Browning TD, Prendiville S. 2015. Improvements in Birch’s theorem on forms in many variables. Journal fur die Reine und Angewandte Mathematik. 2017(731).
View | DOI | Download (ext.)
 
[65]
2015 | Journal Article | IST-REx-ID: 257   OA
Browning TD, Munshi R. 2015. Pairs of diagonal quadratic forms and linear correlations among sums of two squares. Forum Mathematicum. 27(4), 2025–2050.
View | DOI | Download (ext.)
 
[64]
2015 | Journal Article | IST-REx-ID: 260
Browning TD, Dietmann R, Heath Brown R. 2015. Erratum Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. 14(4).
View | DOI
 
[63]
2015 | Book Chapter | IST-REx-ID: 258
Browning TD. 2015. A survey of applications of the circle method to rational points. Arithmetic and Geometry. 89–113.
View | DOI
 
[62]
2015 | Journal Article | IST-REx-ID: 259
Browning TD, Vishe P. 2015. Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. 25(3), 671–732.
View | DOI
 
[61]
2014 | Journal Article | IST-REx-ID: 249
Browning TD, Vishe P. 2014. Cubic hypersurfaces and a version of the circle method for number fields. Duke Mathematical Journal. 163(10), 1825–1883.
View | DOI
 
[60]
2014 | Journal Article | IST-REx-ID: 252
Browning TD, Jones M. 2014. Counting rational points on del Pezzo surfaces with a conic bundle structure. Acta Arithmetica. 163(3), 271–298.
View | DOI
 
[59]
2014 | Journal Article | IST-REx-ID: 6319   OA
Bretèche R de la, Browning TD. 2014. Contre-exemples au principe de Hasse pour certains tores coflasques. Journal de Théorie des Nombres de Bordeaux. 26(1), 25–44.
View | DOI | Download (ext.) | arXiv
 
[58]
2014 | Journal Article | IST-REx-ID: 254
Browning TD. 2014. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2015(7), 1987–2019.
View | DOI
 
[57]
2014 | Journal Article | IST-REx-ID: 248   OA
Browning TD, Matthiesen L, Skorobogatov A. 2014. Rational points on pencils of conics and quadrics with many degenerate fibres. Annals of Mathematics. 180(1), 381–402.
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[56]
2014 | Journal Article | IST-REx-ID: 255
Browning TD, Dietmann R, Heath Brown R. 2014. Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. 14(4), 703–749.
View | DOI
 
[55]
2013 | Journal Article | IST-REx-ID: 251
De La Bretèche R, Browning TD. 2013. Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie des Nombres de Bordeaux. 26(1), 25–44.
View | DOI
 
[54]
2013 | Journal Article | IST-REx-ID: 245   OA
Baier S, Browning TD. 2013. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. (680), 69–151.
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[53]
2013 | Journal Article | IST-REx-ID: 246
Browning TD, Munshi R. 2013. Rational points on singular intersections of quadrics. Compositio Mathematica. 149(9), 1457–1494.
View | DOI
 
[52]
2013 | Journal Article | IST-REx-ID: 253
Browning TD. 2013. Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. 60(1), 101–107.
View | DOI
 
[51]
2013 | Journal Article | IST-REx-ID: 247
Browning TD. 2013. The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. 56(3), 500–502.
View | DOI
 
[50]
2013 | Journal Article | IST-REx-ID: 250   OA
De La Bretèche R, Browning TD. 2013. Density of Châtelet surfaces failing the Hasse principle. Proceedings of the London Mathematical Society. 108(4), 1030–1078.
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[49]
2012 | Journal Article | IST-REx-ID: 237
De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.
View | DOI
 
[48]
2012 | Journal Article | IST-REx-ID: 244   OA
Browning TD, Haynes A. 2012. Incomplete kloosterman sums and multiplicative inverses in short intervals. International Journal of Number Theory. 9(2), 481–486.
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[47]
2012 | Journal Article | IST-REx-ID: 238
Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones et Approximatio, Commentarii Mathematici. 47(2), 267–286.
View | DOI
 
[46]
2012 | Journal Article | IST-REx-ID: 240
Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental Mathematics. 21(2), 204–211.
View | DOI
 
[45]
2012 | Journal Article | IST-REx-ID: 171   OA
Browning TD, Baier S. 2012. Inhomogeneous cubic congruences and rational points on del Pezzo surfaces. Journal fur die Reine und Angewandte Mathematik. 2013(680), 1–65.
View | DOI | Download (ext.)
 
[44]
2012 | Journal Article | IST-REx-ID: 241
De La Bretèche R, Browning TD. 2012. Binary forms as sums of two squares and Châtelet surfaces. Israel Journal of Mathematics. 191(2), 973–1012.
View | DOI
 
[43]
2012 | Journal Article | IST-REx-ID: 242   OA
Baier S, Browning TD, Marasingha G, Zhao L. 2012. Averages of shifted convolutions of d3 (n). Proceedings of the Edinburgh Mathematical Society. 55(3), 551–576.
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[42]
2012 | Journal Article | IST-REx-ID: 243
Browning TD, Heath Brown R. 2012. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 22(5), 1124–1190.
View | DOI
 
[41]
2011 | Journal Article | IST-REx-ID: 233
Browning TD. 2011. Power-free values of polynomials. Archiv der Mathematik. 96(2), 139–150.
View | DOI
 
[40]
2011 | Journal Article | IST-REx-ID: 234
Browning TD. 2011. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 23(3), 579–602.
View | DOI
 
[39]
2011 | Journal Article | IST-REx-ID: 239
Browning TD, Dietmann R, Elliott P. 2011. Least zero of a cubic form. Mathematische Annalen. 352(3), 745–778.
View | DOI
 
[38]
2011 | Journal Article | IST-REx-ID: 235
Browning TD, Elsholtz C. 2011. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 55(2), 685–696.
View
 
[37]
2011 | Journal Article | IST-REx-ID: 236
De La Bretèche R, Browning TD. 2011. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 160(1), 1–69.
View | DOI
 
[36]
2010 | Journal Article | IST-REx-ID: 6320   OA
Bretèche R de la, Browning TD. 2010. Le problème des diviseurs pour des formes binaires de degré 4. Crelles Journal. 2010(646), 1–44.
View | DOI | Download (ext.) | arXiv
 
[35]
2010 | Journal Article | IST-REx-ID: 231
Browning TD, Colliot Thélène J. 2010. Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica. 146(4), 853–885.
View | DOI
 
[34]
2009 | Book Chapter | IST-REx-ID: 168
Browning TD, Dietmann R. 2009. Solubility of Fermat equations. Quadratic Forms - algebra, arithmetic and geometry. , Contemporary Mathematics, vol. 493. 99–106.
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[33]
2009 | Journal Article | IST-REx-ID: 226
Browning TD, Derenthal U. 2009. Manin’s conjecture for a quartic del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. 59(3), 1231–1265.
View | DOI
 
[32]
2009 | Book Chapter | IST-REx-ID: 164   OA
Browning TD, Heath Brown R. 2009. Integral points on cubic hypersurfaces. Analytic Number Theory: Essays in honour of Klaus Roth. 75–90.
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[31]
2009 | Book | IST-REx-ID: 227
Browning TD. 2009. Quantitative arithmetic of projective varieties, Birkhäuser Basel,p.
View | DOI
 
[30]
2009 | Conference Paper | IST-REx-ID: 165
Browning TD. 2009. Resent progress on the quantitative arithmetic of del Pezzo surfaces. Number Theory: Dreaming in dreams, Series on number theory and its application, vol. 6. 1–18.
View | DOI
 
[29]
2009 | Journal Article | IST-REx-ID: 230
Browning TD, Derenthal U. 2009. Manin’s conjecture for a cubic surface with  D 5 singularity. International Mathematics Research Notices. 2009(14), 2620–2647.
View | DOI
 
[28]
2009 | Journal Article | IST-REx-ID: 228   OA
Browning TD, Heath Brown R. 2009. Rational points on quartic hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (629), 37–88.
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[27]
2009 | Journal Article | IST-REx-ID: 229   OA
Browning TD. 2009. Linear growth for Châtelet surfaces. Mathematische Annalen. 346(1), 41–50.
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[26]
2008 | Journal Article | IST-REx-ID: 225
De La Bretèche R, Browning TD. 2008. Binary linear forms as sums of two squares. Compositio Mathematica. 144(6), 1375–1402.
View | DOI
 
[25]
2008 | Journal Article | IST-REx-ID: 224
Browning TD, Dietmann R. 2008. On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. 96(2), 389–416.
View | DOI
 
[24]
2007 | Book Chapter | IST-REx-ID: 167   OA
Browning TD, Heath Brown R. 2007. Simultaneous equal sums of three powers. Diophantine Geometry. , CRM Series, vol. 4. 93–100.
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[23]
2007 | Journal Article | IST-REx-ID: 220
Browning TD. 2007. Counting rational points on cubic hypersurfaces. Mathematika. 54(1–2), 93–112.
View | DOI
 
[22]
2007 | Journal Article | IST-REx-ID: 219
De La Bretèche R, Browning TD, Derenthal U. 2007. On Manin’s conjecture for a certain singular cubic surface. Annales Scientifiques de l’Ecole Normale Superieure. 40(1), 1–50.
View | DOI
 
[21]
2007 | Journal Article | IST-REx-ID: 221   OA
De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del Pezzo surfaces of degree four, I. Michigan Mathematical Journal. 55(1), 51–80.
View | Files available | DOI | arXiv
 
[20]
2007 | Preprint | IST-REx-ID: 6321   OA
Browning TD. 2007. The Manin conjecture in dimension 2. Arxiv., 1–57.
View | Download (ext.) | arXiv
 
[19]
2007 | Journal Article | IST-REx-ID: 222   OA
De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical Society. 143(3), 579–605.
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[18]
2007 | Journal Article | IST-REx-ID: 223   OA
Browning TD. 2007. Density of integer solutions to diagonal quadratic forms. Monatshefte fur Mathematik. 152(1), 13–38.
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[17]
2007 | Book Chapter | IST-REx-ID: 6323   OA
Browning TD. 2007. An overview of Manin’s conjecture for del Pezzo surfaces. A Tribute to Gauss and Dirichlet. Analytic Number Theory, Clay Mathemetics Proceedings, vol. 7. 39–56.
View | Download (ext.) | arXiv
 
[16]
2006 | Journal Article | IST-REx-ID: 213
Browning TD, Heath Brown R, Starr J. 2006. The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. 93(2), 273–303.
View | DOI
 
[15]
2006 | Journal Article | IST-REx-ID: 218
De La Bretèche R, Browning TD. 2006. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 125(3), 291–304.
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 215
Browning TD, Heath Brown R. 2006. The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. 38(3), 401–410.
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 216
Browning TD, Heath Brown R, Salberger P. 2006. Counting rational points on algebraic varieties. Duke Mathematical Journal. 132(3), 545–578.
View | DOI
 
[12]
2005 | Journal Article | IST-REx-ID: 214   OA
Browning TD, Heath Brown R. 2005. Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. 251(2), 233–247.
View | DOI | Download (ext.)
 
[11]
2005 | Book | IST-REx-ID: 210
Davenport H, Browning TD. 2005. Analytic methods for diophantine equations and diophantine inequalities, Cambridge University Press,p.
View | DOI
 
[10]
2005 | Journal Article | IST-REx-ID: 211
Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 37(6), 801–808.
View | DOI
 
[9]
2005 | Journal Article | IST-REx-ID: 217
Browning TD. 2005. The density of rational points on a certain singular cubic surface. Journal of Number Theory. 119(2), 242–283.
View | DOI
 
[8]
2005 | Journal Article | IST-REx-ID: 212   OA
Browning TD, Heath Brown R. 2005. Counting rational points on hypersurfaces. Journal fur die Reine und Angewandte Mathematik. (584), 83–115.
View | DOI | Download (ext.)
 
[7]
2004 | Journal Article | IST-REx-ID: 209
Browning TD, Heath Brown R. 2004. Equal sums of three powers. Inventiones Mathematicae. 157(3), 553–573.
View | DOI
 
[6]
2003 | Journal Article | IST-REx-ID: 206
Browning TD. 2003. A note on the distribution of rational points on threefolds. Quarterly Journal of Mathematics. 54(1), 33–39.
View | DOI
 
[5]
2003 | Journal Article | IST-REx-ID: 207
Browning TD. 2003. Sums of four biquadrates. Mathematical Proceedings of the Cambridge Philosophical Society. 134(3), 385–395.
View | DOI
 
[4]
2003 | Journal Article | IST-REx-ID: 208
Browning TD. 2003. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 54(1), 11–31.
View | DOI
 
[3]
2003 | Journal Article | IST-REx-ID: 166   OA
Browning TD, Swarbick Jones M. 2003. Counting rational points on del Pezzo surfaces of degree 5. Proceedings of the Bonn session in analytic number theory and diophantine equations. 360.
View | Download (ext.) | arXiv
 
[2]
2003 | Journal Article | IST-REx-ID: 205
Browning TD. 2003. Counting rational points on cubic and quartic surfaces. Acta Arithmetica. 108(3), 275–295.
View | DOI
 
[1]
2002 | Journal Article | IST-REx-ID: 204
Browning TD. 2002. Equal Sums of Two kth Powers. Journal of Number Theory. 96(2), 293–318.
View | DOI
 

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