95 Publications

Mark all

[95]
2021 | Journal Article | IST-REx-ID: 8742 | OA
Browning TD, Heath-Brown R. 2021. The geometric sieve for quadrics. Forum Mathematicum. 33(1), 147–165.
View | DOI | Download Preprint (ext.) | arXiv
 
[94]
2021 | Preprint | IST-REx-ID: 9199 | OA
Browning TD, Horesh T, Wilsch FA. Equidistribution and freeness on Grassmannians. arXiv, 2102.11552.
View | Download Preprint (ext.) | arXiv
 
[93]
2021 | Journal Article | IST-REx-ID: 9260 | OA
Browning TD, Yamagishi S. 2021. Arithmetic of higher-dimensional orbifolds and a mixed Waring problem. Mathematische Zeitschrift.
View | Files available | DOI
 
[92]
2020 | Preprint | IST-REx-ID: 8682 | OA
Browning TD, Boudec PL, Sawin W. The Hasse principle for random Fano hypersurfaces. arXiv, 2006.02356.
View | Files available | Download Preprint (ext.) | arXiv
 
[91]
2020 | Journal Article | IST-REx-ID: 177 | OA
Browning TD, Sawin W. 2020. A geometric version of the circle method. Annals of Mathematics. 191(3), 893–948.
View | DOI | Download Preprint (ext.) | arXiv
 
[90]
2020 | Journal Article | IST-REx-ID: 179 | OA
Browning TD, Heath Brown R. 2020. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 169(16), 3099–3165.
View | DOI | Download Preprint (ext.) | arXiv
 
[89]
2020 | Journal Article | IST-REx-ID: 9007 | OA
Browning TD, Sawin W. 2020. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 95(4), 635–659.
View | DOI | Download Preprint (ext.) | arXiv
 
[88]
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
 
[87]
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 | DOI | Download Preprint (ext.) | arXiv
 
[86]
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
 
[85]
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
 
[84]
2018 | Journal Article | IST-REx-ID: 176 | OA
Browning TD, Sofos E. 2018. Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. 15(3), 547–567.
View | DOI | Download Preprint (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. 15, 1–29.
View | DOI | Download Preprint (ext.) | arXiv
 
[82]
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
 
[81]
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.)
 
[80]
2017 | Journal Article | IST-REx-ID: 267
Browning TD. 2017. Many cubic surfaces contain rational points. Mathematika. 63(3), 818–839.
View | DOI
 
[79]
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.)
 
[78]
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 None (ext.) | arXiv
 
[77]
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.)
 
[76]
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.
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[75]
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.)
 
[74]
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 None (ext.) | arXiv
 
[73]
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 None (ext.) | arXiv
 
[72]
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
 
[71]
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.
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[70]
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.)
 
[69]
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.)
 
[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 | DOI | Download Preprint (ext.) | arXiv
 
[67]
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.)
 
[66]
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.
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[65]
2015 | Book Chapter | IST-REx-ID: 258
Browning TD. 2015.A survey of applications of the circle method to rational points. In: Arithmetic and Geometry. , 89–113.
View | DOI
 
[64]
2015 | Journal Article | IST-REx-ID: 259
Browning TD, Vishe P. 2015. Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. 25(3), 671–732.
View | DOI
 
[63]
2015 | Journal Article | IST-REx-ID: 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
 
[62]
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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[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: 254
Browning TD. 2014. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2015(7), 1987–2019.
View | DOI
 
[58]
2014 | Journal Article | IST-REx-ID: 255
Browning TD, Dietmann R, Heath Brown R. 2014. Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. 14(4), 703–749.
View | DOI
 
[57]
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 Preprint (ext.) | arXiv
 
[56]
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.)
 
[55]
2013 | Journal Article | IST-REx-ID: 246
Browning TD, Munshi R. 2013. Rational points on singular intersections of quadrics. Compositio Mathematica. 149(9), 1457–1494.
View | DOI
 
[54]
2013 | Journal Article | IST-REx-ID: 247
Browning TD. 2013. The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. 56(3), 500–502.
View | DOI
 
[53]
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.)
 
[52]
2013 | Journal Article | IST-REx-ID: 251
De La Bretèche R, Browning TD. 2013. Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie des Nombres de Bordeaux. 26(1), 25–44.
View | DOI
 
[51]
2013 | Journal Article | IST-REx-ID: 253
Browning TD. 2013. Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. 60(1), 101–107.
View | DOI
 
[50]
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
 
[49]
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
 
[48]
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
 
[47]
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
 
[46]
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.)
 
[45]
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
 
[44]
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.)
 
[43]
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.)
 
[42]
2011 | Journal Article | IST-REx-ID: 233
Browning TD. 2011. Power-free values of polynomials. Archiv der Mathematik. 96(2), 139–150.
View | DOI
 
[41]
2011 | Journal Article | IST-REx-ID: 234
Browning TD. 2011. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 23(3), 579–602.
View | DOI
 
[40]
2011 | Journal Article | IST-REx-ID: 235
Browning TD, Elsholtz C. 2011. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 55(2), 685–696.
View
 
[39]
2011 | Journal Article | IST-REx-ID: 236
De La Bretèche R, Browning TD. 2011. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 160(1), 1–69.
View | DOI
 
[38]
2011 | Journal Article | IST-REx-ID: 239
Browning TD, Dietmann R, Elliott P. 2011. Least zero of a cubic form. Mathematische Annalen. 352(3), 745–778.
View | DOI
 
[37]
2010 | Journal Article | IST-REx-ID: 231
Browning TD, Colliot Thélène J. 2010. Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica. 146(4), 853–885.
View | DOI
 
[36]
2010 | Journal Article | IST-REx-ID: 232 | OA
De La Bretèche R, Browning TD. 2010. Le problème des diviseurs pour des formes binaires de degré 4. Journal fur die Reine und Angewandte Mathematik. (646), 1–44.
View | DOI | Download Preprint (ext.) | arXiv
 
[35]
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 Preprint (ext.) | arXiv
 
[34]
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
 
[33]
2009 | Book | IST-REx-ID: 227
Browning TD. 2009. Quantitative arithmetic of projective varieties, Birkhäuser Basel,p.
View | DOI
 
[32]
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.)
 
[31]
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.)
 
[30]
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
 
[29]
2009 | Book Chapter | IST-REx-ID: 164 | OA
Browning TD, Heath Brown R. 2009.Integral points on cubic hypersurfaces. In: Analytic Number Theory: Essays in honour of Klaus Roth. , 75–90.
View | Download Preprint (ext.) | arXiv
 
[28]
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
 
[27]
2009 | Book Chapter | IST-REx-ID: 168
Browning TD, Dietmann R. 2009.Solubility of Fermat equations. In: Quadratic Forms - algebra, arithmetic and geometry. Contemporary Mathematics, vol. 493, 99–106.
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[26]
2008 | Journal Article | IST-REx-ID: 224
Browning TD, Dietmann R. 2008. On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. 96(2), 389–416.
View | DOI
 
[25]
2008 | Journal Article | IST-REx-ID: 225
De La Bretèche R, Browning TD. 2008. Binary linear forms as sums of two squares. Compositio Mathematica. 144(6), 1375–1402.
View | DOI
 
[24]
2007 | 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
 
[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: 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
 
[21]
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.)
 
[20]
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.)
 
[19]
2007 | Preprint | IST-REx-ID: 6321 | OA
Browning TD. The Manin conjecture in dimension 2. arXiv, 0704.1217.
View | Download Preprint (ext.) | arXiv
 
[18]
2007 | Book Chapter | IST-REx-ID: 6323 | OA
Browning TD. 2007.An overview of Manin’s conjecture for del Pezzo surfaces. In: A Tribute to Gauss and Dirichlet. Clay Mathemetics Proceedings, vol. 7, 39–56.
View | Download Preprint (ext.) | arXiv
 
[17]
2007 | Book Chapter | IST-REx-ID: 167 | OA
Browning TD, Heath Brown R. 2007.Simultaneous equal sums of three powers. In: Diophantine Geometry. CRM Series, vol. 4, 93–100.
View | Download Preprint (ext.) | arXiv
 
[16]
2006 | Journal Article | IST-REx-ID: 213
Browning TD, Heath Brown R, Starr J. 2006. The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. 93(2), 273–303.
View | DOI
 
[15]
2006 | Journal Article | IST-REx-ID: 215
Browning TD, Heath Brown R. 2006. The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. 38(3), 401–410.
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 216
Browning TD, Heath Brown R, Salberger P. 2006. Counting rational points on algebraic varieties. Duke Mathematical Journal. 132(3), 545–578.
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 218
De La Bretèche R, Browning TD. 2006. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 125(3), 291–304.
View | DOI
 
[12]
2005 | Book | IST-REx-ID: 210
Davenport H, Browning TD. 2005. Analytic methods for diophantine equations and diophantine inequalities, Cambridge University Press,p.
View | DOI
 
[11]
2005 | Journal Article | IST-REx-ID: 211
Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 37(6), 801–808.
View | DOI
 
[10]
2005 | Journal Article | IST-REx-ID: 212 | 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.)
 
[9]
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.)
 
[8]
2005 | Journal Article | IST-REx-ID: 217
Browning TD. 2005. The density of rational points on a certain singular cubic surface. Journal of Number Theory. 119(2), 242–283.
View | DOI
 
[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: 205
Browning TD. 2003. Counting rational points on cubic and quartic surfaces. Acta Arithmetica. 108(3), 275–295.
View | DOI
 
[5]
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
 
[4]
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
 
[3]
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
 
[2]
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 None (ext.) | arXiv
 
[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
 

Search

Filter Publications

95 Publications

Mark all

[95]
2021 | Journal Article | IST-REx-ID: 8742 | OA
Browning TD, Heath-Brown R. 2021. The geometric sieve for quadrics. Forum Mathematicum. 33(1), 147–165.
View | DOI | Download Preprint (ext.) | arXiv
 
[94]
2021 | Preprint | IST-REx-ID: 9199 | OA
Browning TD, Horesh T, Wilsch FA. Equidistribution and freeness on Grassmannians. arXiv, 2102.11552.
View | Download Preprint (ext.) | arXiv
 
[93]
2021 | Journal Article | IST-REx-ID: 9260 | OA
Browning TD, Yamagishi S. 2021. Arithmetic of higher-dimensional orbifolds and a mixed Waring problem. Mathematische Zeitschrift.
View | Files available | DOI
 
[92]
2020 | Preprint | IST-REx-ID: 8682 | OA
Browning TD, Boudec PL, Sawin W. The Hasse principle for random Fano hypersurfaces. arXiv, 2006.02356.
View | Files available | Download Preprint (ext.) | arXiv
 
[91]
2020 | Journal Article | IST-REx-ID: 177 | OA
Browning TD, Sawin W. 2020. A geometric version of the circle method. Annals of Mathematics. 191(3), 893–948.
View | DOI | Download Preprint (ext.) | arXiv
 
[90]
2020 | Journal Article | IST-REx-ID: 179 | OA
Browning TD, Heath Brown R. 2020. Density of rational points on a quadric bundle in ℙ3×ℙ3. Duke Mathematical Journal. 169(16), 3099–3165.
View | DOI | Download Preprint (ext.) | arXiv
 
[89]
2020 | Journal Article | IST-REx-ID: 9007 | OA
Browning TD, Sawin W. 2020. Free rational points on smooth hypersurfaces. Commentarii Mathematici Helvetici. 95(4), 635–659.
View | DOI | Download Preprint (ext.) | arXiv
 
[88]
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
 
[87]
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 | DOI | Download Preprint (ext.) | arXiv
 
[86]
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
 
[85]
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
 
[84]
2018 | Journal Article | IST-REx-ID: 176 | OA
Browning TD, Sofos E. 2018. Averages of arithmetic functions over principal ideals. International Journal of Nuber Theory. 15(3), 547–567.
View | DOI | Download Preprint (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. 15, 1–29.
View | DOI | Download Preprint (ext.) | arXiv
 
[82]
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
 
[81]
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.)
 
[80]
2017 | Journal Article | IST-REx-ID: 267
Browning TD. 2017. Many cubic surfaces contain rational points. Mathematika. 63(3), 818–839.
View | DOI
 
[79]
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.)
 
[78]
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 None (ext.) | arXiv
 
[77]
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.)
 
[76]
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.
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[75]
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.
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[74]
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 None (ext.) | arXiv
 
[73]
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 None (ext.) | arXiv
 
[72]
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
 
[71]
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.
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[70]
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.)
 
[69]
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.
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[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 | DOI | Download Preprint (ext.) | arXiv
 
[67]
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.)
 
[66]
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.
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[65]
2015 | Book Chapter | IST-REx-ID: 258
Browning TD. 2015.A survey of applications of the circle method to rational points. In: Arithmetic and Geometry. , 89–113.
View | DOI
 
[64]
2015 | Journal Article | IST-REx-ID: 259
Browning TD, Vishe P. 2015. Rational points on cubic hypersurfaces over F_q(t) . Geometric and Functional Analysis. 25(3), 671–732.
View | DOI
 
[63]
2015 | Journal Article | IST-REx-ID: 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
 
[62]
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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[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: 254
Browning TD. 2014. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2015(7), 1987–2019.
View | DOI
 
[58]
2014 | Journal Article | IST-REx-ID: 255
Browning TD, Dietmann R, Heath Brown R. 2014. Rational points on intersections of cubic and quadric hypersurfaces. Journal of the Institute of Mathematics of Jussieu. 14(4), 703–749.
View | DOI
 
[57]
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 Preprint (ext.) | arXiv
 
[56]
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.)
 
[55]
2013 | Journal Article | IST-REx-ID: 246
Browning TD, Munshi R. 2013. Rational points on singular intersections of quadrics. Compositio Mathematica. 149(9), 1457–1494.
View | DOI
 
[54]
2013 | Journal Article | IST-REx-ID: 247
Browning TD. 2013. The Lang-Weil estimate for cubic hypersurfaces. Canadian Mathematical Bulletin. 56(3), 500–502.
View | DOI
 
[53]
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.)
 
[52]
2013 | Journal Article | IST-REx-ID: 251
De La Bretèche R, Browning TD. 2013. Counter examples to the Hasse principle among certain coflasque tori. Journal de Theorie des Nombres de Bordeaux. 26(1), 25–44.
View | DOI
 
[51]
2013 | Journal Article | IST-REx-ID: 253
Browning TD. 2013. Counting rational points on cubic hypersurfaces: Corrigendum. Mathematika. 60(1), 101–107.
View | DOI
 
[50]
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
 
[49]
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
 
[48]
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
 
[47]
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
 
[46]
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.)
 
[45]
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
 
[44]
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.)
 
[43]
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.)
 
[42]
2011 | Journal Article | IST-REx-ID: 233
Browning TD. 2011. Power-free values of polynomials. Archiv der Mathematik. 96(2), 139–150.
View | DOI
 
[41]
2011 | Journal Article | IST-REx-ID: 234
Browning TD. 2011. The divisor problem for binary cubic forms. Journal de Theorie des Nombres de Bordeaux. 23(3), 579–602.
View | DOI
 
[40]
2011 | Journal Article | IST-REx-ID: 235
Browning TD, Elsholtz C. 2011. The number of representations of rationals as a sum of unit fractions. Illinois Journal of Mathematics. 55(2), 685–696.
View
 
[39]
2011 | Journal Article | IST-REx-ID: 236
De La Bretèche R, Browning TD. 2011. Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration. Duke Mathematical Journal. 160(1), 1–69.
View | DOI
 
[38]
2011 | Journal Article | IST-REx-ID: 239
Browning TD, Dietmann R, Elliott P. 2011. Least zero of a cubic form. Mathematische Annalen. 352(3), 745–778.
View | DOI
 
[37]
2010 | Journal Article | IST-REx-ID: 231
Browning TD, Colliot Thélène J. 2010. Rational points on cubic hypersurfaces that split off a form. With an appendix by J-L Colliot-Thélène. Compositio Mathematica. 146(4), 853–885.
View | DOI
 
[36]
2010 | Journal Article | IST-REx-ID: 232 | OA
De La Bretèche R, Browning TD. 2010. Le problème des diviseurs pour des formes binaires de degré 4. Journal fur die Reine und Angewandte Mathematik. (646), 1–44.
View | DOI | Download Preprint (ext.) | arXiv
 
[35]
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 Preprint (ext.) | arXiv
 
[34]
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
 
[33]
2009 | Book | IST-REx-ID: 227
Browning TD. 2009. Quantitative arithmetic of projective varieties, Birkhäuser Basel,p.
View | DOI
 
[32]
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.)
 
[31]
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.)
 
[30]
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
 
[29]
2009 | Book Chapter | IST-REx-ID: 164 | OA
Browning TD, Heath Brown R. 2009.Integral points on cubic hypersurfaces. In: Analytic Number Theory: Essays in honour of Klaus Roth. , 75–90.
View | Download Preprint (ext.) | arXiv
 
[28]
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
 
[27]
2009 | Book Chapter | IST-REx-ID: 168
Browning TD, Dietmann R. 2009.Solubility of Fermat equations. In: Quadratic Forms - algebra, arithmetic and geometry. Contemporary Mathematics, vol. 493, 99–106.
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[26]
2008 | Journal Article | IST-REx-ID: 224
Browning TD, Dietmann R. 2008. On the representation of integers by quadratic forms. Proceedings of the London Mathematical Society. 96(2), 389–416.
View | DOI
 
[25]
2008 | Journal Article | IST-REx-ID: 225
De La Bretèche R, Browning TD. 2008. Binary linear forms as sums of two squares. Compositio Mathematica. 144(6), 1375–1402.
View | DOI
 
[24]
2007 | 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
 
[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: 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
 
[21]
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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[20]
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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[19]
2007 | Preprint | IST-REx-ID: 6321 | OA
Browning TD. The Manin conjecture in dimension 2. arXiv, 0704.1217.
View | Download Preprint (ext.) | arXiv
 
[18]
2007 | Book Chapter | IST-REx-ID: 6323 | OA
Browning TD. 2007.An overview of Manin’s conjecture for del Pezzo surfaces. In: A Tribute to Gauss and Dirichlet. Clay Mathemetics Proceedings, vol. 7, 39–56.
View | Download Preprint (ext.) | arXiv
 
[17]
2007 | Book Chapter | IST-REx-ID: 167 | OA
Browning TD, Heath Brown R. 2007.Simultaneous equal sums of three powers. In: Diophantine Geometry. CRM Series, vol. 4, 93–100.
View | Download Preprint (ext.) | arXiv
 
[16]
2006 | Journal Article | IST-REx-ID: 213
Browning TD, Heath Brown R, Starr J. 2006. The density of rational points on non-singular hypersurfaces, II. Proceedings of the London Mathematical Society. 93(2), 273–303.
View | DOI
 
[15]
2006 | Journal Article | IST-REx-ID: 215
Browning TD, Heath Brown R. 2006. The density of rational points on non-singular hypersurfaces, I. Bulletin of the London Mathematical Society. 38(3), 401–410.
View | DOI
 
[14]
2006 | Journal Article | IST-REx-ID: 216
Browning TD, Heath Brown R, Salberger P. 2006. Counting rational points on algebraic varieties. Duke Mathematical Journal. 132(3), 545–578.
View | DOI
 
[13]
2006 | Journal Article | IST-REx-ID: 218
De La Bretèche R, Browning TD. 2006. Sums of arithmetic functions over values of binary forms. Acta Arithmetica. 125(3), 291–304.
View | DOI
 
[12]
2005 | Book | IST-REx-ID: 210
Davenport H, Browning TD. 2005. Analytic methods for diophantine equations and diophantine inequalities, Cambridge University Press,p.
View | DOI
 
[11]
2005 | Journal Article | IST-REx-ID: 211
Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 37(6), 801–808.
View | DOI
 
[10]
2005 | Journal Article | IST-REx-ID: 212 | 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.)
 
[9]
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.)
 
[8]
2005 | Journal Article | IST-REx-ID: 217
Browning TD. 2005. The density of rational points on a certain singular cubic surface. Journal of Number Theory. 119(2), 242–283.
View | DOI
 
[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: 205
Browning TD. 2003. Counting rational points on cubic and quartic surfaces. Acta Arithmetica. 108(3), 275–295.
View | DOI
 
[5]
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
 
[4]
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
 
[3]
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
 
[2]
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 None (ext.) | arXiv
 
[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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